Temperature-reflection symmetry

We point out the presence of a T arrow right -T temperature-reflection (T-reflection) symmetry for the partition functions of many physical systems. Without knowledge of the origin of the symmetry, we have only been able to test the existence of T-reflection symmetry in systems with exactly calculab...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2015-05, Vol.91 (10), Article 106004
Main Authors: Başar, Gökçe, Cherman, Aleksey, McGady, David A., Yamazaki, Masahito
Format: Article
Language:English
Subjects:
Cosmology
Field theory
Gravitation
Invariants
Mathematical models
Partitions
Statistical mechanics
Symmetry
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Summary:We point out the presence of a T arrow right -T temperature-reflection (T-reflection) symmetry for the partition functions of many physical systems. Without knowledge of the origin of the symmetry, we have only been able to test the existence of T-reflection symmetry in systems with exactly calculable partition functions. We show that T-reflection symmetry is present in a variety of conformal and nonconformal field theories and statistical mechanics models with known partition functions. For example, all minimal model partition functions in two-dimensional conformal field theories are invariant under T-reflections. An interesting property of the T-reflection symmetry is that it can be broken by shifts of the vacuum energy.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.91.106004