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2 results on '"higher-order: 6"'

1. Gravity in binary systems at the fifth and sixth post-Newtonian order

Author

Blümlein, J., Maier, A., Marquard, P., and Schäfer, G.

Subjects
effective field theory: nonrelativistic, velocity, higher-order: 6, higher-order: 5, gravitational radiation, 6 [higher-order], FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), expansion: higher-order, General Relativity and Quantum Cosmology, Hamiltonian, nonrelativistic [effective field theory], High Energy Physics - Phenomenology, weak interaction, High Energy Physics - Phenomenology (hep-ph), binary: coalescence, higher-order [expansion], gravitation, conservation law, ddc:530, coalescence [binary], capture, 5 [higher-order]
Abstract

Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a non-relativistic effective field theory. We give predictions for central observables and determine the required coefficients for the construction of an Effective One-Body Hamiltonian, extending the applicability of our results to the late inspiral and merger phases., Comment: 10 pages, 1 figure. Contribution to the proceedings of Loops and Legs in Quantum Field Theory - LL2022

Published
2022
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2. On the algorithm to find S-related Lie algebras

Author

Felip Nadal, Nelson Merino, Carlos Inostroza, Igor Kondrashuk, AstroParticule et Cosmologie (APC (UMR_7164)), Observatoire de Paris, PSL Research University (PSL)-PSL Research University (PSL)-Université Paris Diderot - Paris 7 (UPD7)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), AstroParticule et Cosmologie ( APC - UMR 7164 ), Centre National de la Recherche Scientifique ( CNRS ) -Institut National de Physique Nucléaire et de Physique des Particules du CNRS ( IN2P3 ) -Observatoire de Paris-Université Paris Diderot - Paris 7 ( UPD7 ) -Commissariat à l'énergie atomique et aux énergies alternatives ( CEA ), Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Observatoire de Paris, PSL Research University (PSL)-PSL Research University (PSL)-Université Paris Diderot - Paris 7 (UPD7), and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)

Subjects
High Energy Physics - Theory, History, [ INFO ] Computer Science [cs], Java, Computer science, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], group theory, FOS: Physical sciences, algebra: Lie, 02 engineering and technology, 01 natural sciences, Education, Lie algebra, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Order (group theory), [INFO]Computer Science [cs], Mathematics - Numerical Analysis, 0101 mathematics, Abelian group, numerical calculations, Mathematical Physics, computer.programming_language, higher-order: 6, 010102 general mathematics, group: abelian, Mathematical Physics (math-ph), Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), 16. Peace & justice, Computer Science Applications, Algebra, High Energy Physics - Theory (hep-th), 020201 artificial intelligence & image processing, [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph], computer, Physics - Computational Physics
Abstract

In this article we describe the Java library that we have recently constructed to automatize the S-expansion method, a powerful mathematical technique allowing to relate different Lie algebras. An important input in this procedure is the use of abelian semigroups and thus, we start with a brief review about the classification of non-isomorphic semigroups made in the literature during the last decades, and explain how the lists of non-isomorphic semigroups up to order 6 can be used as inputs in many of the methods of our library. After describing the main features of the classes that compose our library we present a new method called fillTemplate which tuns out to be very useful to answer whether two given algebras can be S-related., Comment: 6 pages, Talk at ACAT 2017, Seattle, USA, to appear in Proceedings of ACAT 2017

Published
2017
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