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Prog. Theor. Phys. Vol. 109 No. 5 (2003) pp. 843-851

[ Full Text PDF : FREE ACCESS (147K) ]

θ-Vacuum

— Phase Transitions and/or Symmetry Breaking at θ= π —

Vicente Azcoiti,1 Angelo Galante2,3 and Victor Laliena1

1Departamento de Fí sica Teórica, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
2Dipartimento di Fisica dell'Università di L'Aquila, 67100 L'Aquila, Italy
3INFN, Laboratori Nazionali del Gran Sasso, 67010 Assergi, L'Aquila, Italy

(Received January 8, 2003)

Abstract:

Assuming that a quantum field theory with a θ-vacuum term in the action shows non-trivial θ-dependence and provided that some reasonable properties of the probability distribution function of the order parameter hold, we argue that the theory either breaks spontaneously CP at θ= π or shows a singular behavior at some critical θc between 0 and π. This result, which applies to any model with a pure imaginary contribution to the euclidean action consisting in a quantized charge coupled to a phase, as QCD, is illustrated with two simple examples; one of them intimately related to Witten's result on SU(N) in the large N limit.


URL : http://ptp.ipap.jp/link?PTP/109/843/
DOI : 10.1143/PTP.109.843

[ Full Text PDF : FREE ACCESS (147K) ] Citation:

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