期刊
PHYSICS LETTERS B
卷 554, 期 1-2, 页码 33-37出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0370-2693(02)03273-2
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We argue that the Vafa-Witten proof on absence of spontaneous parity breaking in QCD has the following two loopholes: first, when perturbed by an external field coupled to a parity-odd quark operator, the QCD vacuum energy could be a decreasing function of the field, contrary to the observation used in the proof. The difference comes from that the effective gluonic operator has in general a parity-even part which does not contribute to the path integral as a pure phase. Second, when perturbed by an external field coupled to a parity-odd gluonic operator, the vacuum energy is always a rising function of the field, independent of the existence of spontaneous parity breaking. This is because the parity-odd gluonic perturbations contribute to the path integral as a pure phase, and could not serve to select a physical vacuum should parity be spontaneously broken. (C) 2002 Elsevier Science B.V. All rights reserved.
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