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1,538 results on '"conformal invariance"'

418. More on massive 3D gravity

Author

Townsend, Paul [Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA (United Kingdom)]

Published
2009
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448. Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ -Minimization and Precise Critical Exponents.

Author

Rychkov, Slava, El-Showk, Sheer, Paulos, Miguel, Poland, David, Simmons-Duffin, David, and Vichi, Alessandro

Subjects
*ISING model, *CRITICAL exponents, *CRITICAL phenomena (Statistical physics), *CONFORMAL invariants, *SYMMETRY
Abstract

We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge $$c$$ in the space of unitary solutions to crossing symmetry. Because extremal solutions to crossing symmetry are uniquely determined, we are able to precisely reconstruct the first several $$\mathbb {Z}_2$$ -even operator dimensions and their OPE coefficients. We observe that a sharp transition in the operator spectrum occurs at the 3d Ising dimension $$\Delta _\sigma = 0.518154(15)$$ , and find strong numerical evidence that operators decouple from the spectrum as one approaches the 3d Ising point. We compare this behavior to the analogous situation in 2d, where the disappearance of operators can be understood in terms of degenerate Virasoro representations. [ABSTRACT FROM AUTHOR]

Published
2014
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449. Covariant calculus for effective string theories.

Author

Hari Dass, N and Peter Matlock

Abstract

A covariant calculus for the construction of effective string theories is developed. Effective string theory, describing quantum string-like excitations in arbitrary dimension, has in the past been constructed using the principles of conformal field theory, but not in a systematic way. Using the freedom of choice of field definition, a particular field definition is made in a systematic way to allow an explicit construction of effective string theories with manifest exact conformal symmetry. The impossibility of a manifestly invariant description of the Polchinski-Strominger Lagrangian is demonstrated and its meaning is explained. [ABSTRACT FROM AUTHOR]

Published
2014
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450. Double gauge invariance and covariantly-constant vector fields in Weyl geometry.

Author

Kassandrov, Vladimir and Rizcallah, Joseph

Subjects
*GAUGE invariance, *VECTOR fields, *WAVE equation, *COVARIANT field theories, *MINKOWSKI space, *CONFORMAL invariants
Abstract

The wave equation and equations of covariantly-constant vector fields (CCVF) in spaces with Weyl nonmetricity turn out to possess, in addition to the canonical conformal-gauge, a gauge invariance of another type. On a Minkowski metric background, the CCVF system alone allows us to pin down the Weyl 4-metricity vector, identified herein with the electromagnetic potential. The fundamental solution is given by the ordinary Lienard-Wiechert field, in particular, by the Coulomb distribution for a charge at rest. Unlike the latter, however, the magnitude of charge is necessarily unity, 'elementary', and charges of opposite signs correspond to retarded and advanced potentials respectively, thus establishing a direct connection between the particle/antiparticle asymmetry and the 'arrow of time'. [ABSTRACT FROM AUTHOR]

Published
2014
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