Author:
Schindler Moses A.,Schindler Stella T.,Ogilvie Michael C.
Abstract
Abstract
A longstanding issue in the study of quantum chromodynamics (QCD) is its behavior at nonzero baryon density, which has implications for many areas of physics. The path integral has a complex integrand when the quark chemical potential is nonzero and therefore has a sign problem, but it also has a generalized
PT
symmetry. We review some new approaches to
PT
-symmetric field theories, including both analytical techniques and methods for lattice simulation. We show that
PT
-symmetric field theories with more than one field generally have a much richer phase structure than their Hermitian counterparts, including stable phases with patterning behavior. The case of a
PT
-symmetric extension of a φ4 model is explained in detail. The relevance of these results to finite density QCD is explained, and we show that a simple model of finite density QCD exhibits a patterned phase in its critical region.
Subject
General Physics and Astronomy
Cited by
1 articles.
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