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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 272, Pages 9–19
(Mi tm3270)
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This article is cited in 1 scientific paper (total in 1 paper)
Phase transitions and theta vacuum energy
Miguel Aguadoa, Manuel Asoreyb a Max-Planck-Institut für Quantenoptik, Garching, Germany
b Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, Zaragoza, Spain
Abstract:
The analytic behaviour of $\theta$-vacuum energy is related to the existence of phase transitions in QCD and $\mathbb C\mathrm P^N$ sigma models. The absence of singularities different from Lee–Yang zeros only permits $\wedge$ cusp singularities in the vacuum energy density and never $\vee$ cusps. This fact, together with the Vafa–Witten diamagnetic inequality, provides a key missing link in the Vafa–Witten proof of parity symmetry conservation in vector-like gauge theories and $\mathbb C\mathrm P^N$ sigma models. However, this property does not exclude the existence of a first phase transition at $\theta=\pi$ or a second order phase transition at $\theta=0$, which might be very relevant for interpretation of the anomalous behaviour of the topological susceptibility in the $\mathbb C\mathrm P^1$ sigma model.
Received in May 2010
Citation:
Miguel Aguado, Manuel Asorey, “Phase transitions and theta vacuum energy”, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 272, MAIK Nauka/Interperiodica, Moscow, 2011, 9–19; Proc. Steklov Inst. Math., 272 (2011), 3–12
Linking options:
https://www.mathnet.ru/eng/tm3270 https://www.mathnet.ru/eng/tm/v272/p9
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Abstract page: | 529 | Full-text PDF : | 55 | References: | 34 |
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