Confinement and graded partition functions for N = 4 SYM

Gauge theories with confining phases at low temperatures tend to deconfine at high temperatures. In some cases, for example in supersymmetric theories, confinement can persist for all temperatures provided the partition function includes a grading by (−1)F. When it is possible to define partition fu...

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Bibliographic Details
Published in:Physical review. D 2021-03, Vol.103 (6), p.1, Article 066013
Main Authors: Cherman, Aleksey, Dhumuntarao, Aditya
Format: Article
Language:English
Subjects:
Confinement
Coupling
Gauge theory
Low temperature
Partitions (mathematics)
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Summary:Gauge theories with confining phases at low temperatures tend to deconfine at high temperatures. In some cases, for example in supersymmetric theories, confinement can persist for all temperatures provided the partition function includes a grading by (−1)F. When it is possible to define partition functions that smoothly interpolate between no grading and (−1)F grading, it is natural to ask if there are other choices of grading that have the same effect as (−1)F on confinement. We explore how this works for N=4 SYM on S1×S3 in the large N limit at both small and large coupling. We find evidence for a continuous range of grading parameters that preserve confinement for all temperatures at large coupling, while at small coupling only a discrete set of gradings preserves confinement.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.103.066013