11 results on '"Corinne de Lacroix"'
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2. Effective gravitational action for 2D massive fermions
- Author
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Adel Bilal, Corinne de Lacroix, and Harold Erbin
- Subjects
2D Gravity ,Models of Quantum Gravity ,Nuclear and particle physics. Atomic energy. Radioactivity ,QC770-798 - Abstract
Abstract We work out the effective gravitational action for 2D massive Euclidean fermions in a small mass expansion. Besides the leading Liouville action, the order m 2 gravitational action contains a piece characteristic of the Mabuchi action, much as for 2D massive scalars, but also several non-local terms involving the Green’s functions and Green’s functions at coinciding points on the manifold.
- Published
- 2021
- Full Text
- View/download PDF
3. Analyticity and crossing symmetry of superstring loop amplitudes
- Author
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Corinne de Lacroix, Harold Erbin, and Ashoke Sen
- Subjects
Field Theories in Higher Dimensions ,String Field Theory ,Superstrings and Heterotic Strings ,Nuclear and particle physics. Atomic energy. Radioactivity ,QC770-798 - Abstract
Abstract Bros, Epstein and Glaser proved crossing symmetry of the S-matrix of a theory without massless fields by using certain analyticity properties of the off-shell momentum space Green’s function in the complex momentum plane. The latter properties follow from representing the momentum space Green’s function as Fourier transform of the position space Green’s function, satisfying certain properties implied by the underlying local quantum field theory. We prove the same analyticity properties of the momentum space Green’s functions in superstring field theory by directly working with the momentum space Feynman rules even though the corresponding properties of the position space Green’s function are not known. Our result is valid to all orders in perturbation theory, but requires, as usual, explicitly subtracting / regulating the non-analyticities associated with massless particles. These results can also be used to prove other general analyticity properties of the S-matrix of superstring theory.
- Published
- 2019
- Full Text
- View/download PDF
4. 2D gravitational Mabuchi action on Riemann surfaces with boundaries
- Author
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Adel Bilal and Corinne de Lacroix
- Subjects
2D Gravity ,Models of Quantum Gravity ,Nuclear and particle physics. Atomic energy. Radioactivity ,QC770-798 - Abstract
Abstract We study the gravitational action induced by coupling two-dimensional non-conformal, massive matter to gravity on a Riemann surface with boundaries. A small-mass expansion gives back the Liouville action in the massless limit, while the first-order mass correction allows us to identify what should be the appropriate generalization of the Mabuchi action on a Riemann surface with boundaries. We provide a detailed study for the example of the cylinder. Contrary to the case of manifolds without boundary, we find that the gravitational Lagrangian explicitly depends on the space-point, via the geodesic distances to the boundaries, as well as on the modular parameter of the cylinder, through an elliptic θ-function.
- Published
- 2017
- Full Text
- View/download PDF
5. Mabuchi spectrum from the minisuperspace
- Author
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Corinne de Lacroix, Harold Erbin, and Eirik E. Svanes
- Subjects
2d gravity ,Mabuchi theory ,Physics ,QC1-999 - Abstract
It was recently shown that other functionals contribute to the effective action for the Liouville field when considering massive matter coupled to two-dimensional gravity in the conformal gauge. The most important of these new contributions corresponds to the Mabuchi functional. We propose a minisuperspace action that reproduces the main features of the Mabuchi action in order to describe the dynamics of the zero-mode. We show that the associated Hamiltonian coincides with the (quantum mechanical) Liouville Hamiltonian. As a consequence the Liouville theory and our model of the Mabuchi theory both share the same spectrum, eigenfunctions and – in this approximation – correlation functions.
- Published
- 2016
- Full Text
- View/download PDF
6. Effective gravitational action for 2D massive fermions
- Author
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Corinne de Lacroix, Harold Erbin, Adel Bilal, Champs, Gravitation et Cordes, Laboratoire de physique de l'ENS - ENS Paris (LPENS), Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Département de Physique de l'ENS-PSL, École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Département de Physique de l'ENS-PSL, Center for Theoretical Physics, Massachusetts Institute of Technology (MIT), NSF AI Institute for Artificial Intelligence and Fundamental Interactions (IAIFI), Département Intelligence Ambiante et Systèmes Interactifs (DIASI), Laboratoire d'Intégration des Systèmes et des Technologies (LIST (CEA)), Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay, European Project: 891169,ML4SFT, Laboratoire de physique de l'ENS - ENS Paris (LPENS (UMR_8023)), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Université Paris Diderot - Paris 7 (UPD7)
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,FOS: Physical sciences ,QC770-798 ,Euclidean ,Liouville ,01 natural sciences ,Gravitation ,Theoretical physics ,Nuclear and particle physics. Atomic energy. Radioactivity ,0103 physical sciences ,Euclidean geometry ,Models of Quantum Gravity ,gravitation: action ,010306 general physics ,expansion: mass ,fermion: massive ,Physics ,010308 nuclear & particles physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,nonlocal ,Fermion ,Manifold ,Action (physics) ,High Energy Physics - Theory (hep-th) ,2D Gravity - Abstract
We work out the effective gravitational action for 2D massive Euclidean fermions in a small mass expansion. Besides the leading Liouville action, the order $m^2$ gravitational action contains a piece characteristic of the Mabuchi action, much as for 2D massive scalars, but also several non-local terms involving the Green's functions and Green's functions at coinciding points on the manifold., Comment: 32 pages
- Published
- 2021
7. A short note on dynamics and degrees of freedom in $2d$ classical gravity
- Author
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Corinne de Lacroix, Harold Erbin, Laboratoire de Physique Théorique de l'ENS (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
High Energy Physics - Theory ,Physics and Astronomy (miscellaneous) ,invariance: Weyl ,2d gravity ,Computation ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,01 natural sciences ,General Relativity and Quantum Cosmology ,Classical gravity ,Theoretical physics ,matter: coupling ,0103 physical sciences ,Field theory on curved space ,unitarity ,gravitation: coupling ,010303 astronomy & astrophysics ,Physics ,Toy model ,Unitarity ,010308 nuclear & particles physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,gravitation: Einstein-Hilbert ,matter: conformal ,Equations of motion ,Invariant (physics) ,Standard methods ,Degrees of freedom ,Differential geometry ,High Energy Physics - Theory (hep-th) ,field equations: solution ,[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] ,gravitation: classical - Abstract
We comment on some peculiarities of matter with and without Weyl invariance coupled to classical $2d$ Einstein-Hilbert gravity for several models, in particular, related to the counting of degrees of freedom and on the dynamics. We find that theories where the matter action is Weyl invariant has generically more degrees of freedom than action without the invariance. This follows from the Weyl invariance of the metric equations of motion independently of the invariance of the action. Then, we study another set of models with scalar fields and show that solutions to the equations of motion are either trivial or inconsistent. To our knowledge, these aspects of classical $2d$ gravity have not been put forward and can be interesting to be remembered when using it as a toy model for $4d$ gravity. The goal of this note is also as a pedagogical exercise: our results follow from standard methods, but we emphasize more direct computations., Comment: 10 pages; v2: 13 pages, add clarifications
- Published
- 2020
8. Mabuchi spectrum from the minisuperspace
- Author
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Harold Erbin, Corinne de Lacroix, Eirik Eik Svanes, Laboratoire de Physique Théorique de l'ENS (LPTENS), Université Pierre et Marie Curie - Paris 6 (UPMC)-Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure] (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS-PSL), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,2d gravity ,FOS: Physical sciences ,Conformal map ,01 natural sciences ,symbols.namesake ,High Energy Physics::Theory ,Minisuperspace ,0103 physical sciences ,Mabuchi theory ,010306 general physics ,Effective action ,Quantum ,Mathematical physics ,Physics ,[PHYS]Physics [physics] ,010308 nuclear & particles physics ,Eigenfunction ,lcsh:QC1-999 ,Classical mechanics ,High Energy Physics - Theory (hep-th) ,symbols ,Mathematics::Differential Geometry ,Hamiltonian (quantum mechanics) ,lcsh:Physics - Abstract
It was recently shown that other functionals contribute to the effective action for the Liouville field when considering massive matter coupled to two-dimensional gravity in the conformal gauge. The most important of these new contributions corresponds to the Mabuchi functional. We propose a minisuperspace action that reproduces the main features of the Mabuchi action in order to describe the dynamics of the zero-mode. We show that the associated Hamiltonian coincides with the (quantum mechanical) Liouville Hamiltonian. As a consequence the Liouville theory and our model of the Mabuchi theory both share the same spectrum, eigenfunctions and - in this approximation - correlation functions., 4 pages; v2: change presentation but conclusion unchanged, match published version
- Published
- 2016
- Full Text
- View/download PDF
9. Minisuperspace computation of the Mabuchi spectrum
- Author
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Harold Erbin, Eirik Eik Svanes, Corinne de Lacroix, Laboratoire de Physique Théorique de l'ENS (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Institut Lagrange de Paris, Sorbonne Universités, Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), and Sorbonne Université (SU)
- Subjects
High Energy Physics - Theory ,Physics and Astronomy (miscellaneous) ,Canonical quantization ,minisuperspace ,Computation ,FOS: Physical sciences ,Conformal map ,General Relativity and Quantum Cosmology (gr-qc) ,01 natural sciences ,General Relativity and Quantum Cosmology ,Gravitation ,conformal gauge ,symbols.namesake ,Minisuperspace ,quantization: canonical ,0103 physical sciences ,correlation function ,gravitation: action ,010306 general physics ,dimension: 2 ,Mathematical physics ,Physics ,Conjecture ,010308 nuclear & particles physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,16. Peace & justice ,Hamiltonian ,field theory: Liouville ,High Energy Physics - Theory (hep-th) ,quantum gravity ,symbols ,[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] ,Quantum gravity ,Hamiltonian (quantum mechanics) - Abstract
It was shown recently that, beside the traditional Liouville action, other functionals appear in the gravitational action of two-dimensional quantum gravity in the conformal gauge, the most important one being the Mabuchi functional. In a letter we proposed a minisuperspace action for this theory and used it to perform its canonical quantization. We found that the Hamiltonian of the Mabuchi theory is equal to the one of the Liouville theory and thus that the spectrum and correlation functions match in this approximation. In this paper we provide motivations to support our conjecture., Comment: 23 pages; v2: minor improvements, match published version
- Published
- 2018
10. Closed Superstring Field Theory and its Applications
- Author
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Mritunjay Verma, Harold Erbin, Sitender Pratap Kashyap, Ashoke Sen, Corinne de Lacroix, Laboratoire de Physique Théorique de l'ENS (LPTENS), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique de l'ENS ( LPTENS ), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris ( FRDPENS ), and Centre National de la Recherche Scientifique ( CNRS ) -École normale supérieure - Paris ( ENS Paris ) -Centre National de la Recherche Scientifique ( CNRS ) -École normale supérieure - Paris ( ENS Paris ) -Université Pierre et Marie Curie - Paris 6 ( UPMC ) -Centre National de la Recherche Scientifique ( CNRS )
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,Field (physics) ,FOS: Physical sciences ,field theory: string ,01 natural sciences ,String (physics) ,correction: quantum ,[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] ,11.25.Db ,Theoretical physics ,0103 physical sciences ,Field theory (psychology) ,010306 general physics ,Quantum ,Physics ,Heterotic string theory ,Unitarity ,010308 nuclear & particles physics ,heterotic ,superstring perturbation theory ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,Superstring theory ,Astronomy and Astrophysics ,space-time: dimension ,Superstring field theory ,Atomic and Molecular Physics, and Optics ,S-matrix: unitarity ,11.25.Sq ,High Energy Physics - Theory (hep-th) ,space-time: dimension: 4 ,space-time: noncompact ,infrared problem ,superstring: closed - Abstract
We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under quantum corrections, computing renormalized masses and S-matrix of the theory around the shifted vacuum and a proof of unitarity of the S-matrix. The S-matrix computed this way is free from all divergences when there are more than 4 non-compact space-time dimensions, but suffers from the usual infrared divergences when the number of non-compact space-time dimensions is 4 or less., Comment: review article, LaTeX, 137 pages; v2: references updated, other minor changes
- Published
- 2017
11. Minisuperspace computation of the Mabuchi spectrum.
- Author
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Corinne de Lacroix, Harold Erbin, and Eirik E Svanes
- Subjects
- *
QUANTUM gravity , *CANONICAL quantization , *LIOUVILLE'S theorem - Abstract
It was shown recently that, beside the traditional Liouville action, other functionals appear in the gravitational action of two-dimensional quantum gravity in the conformal gauge, the most important one being the Mabuchi functional. In a letter we proposed a minisuperspace action for this theory and used it to perform its canonical quantization. We found that the Hamiltonian of the Mabuchi theory is equal to the one of the Liouville theory and thus that the spectrum and correlation functions match in this approximation. In this paper we provide motivations to support our conjecture. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
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