Spontaneous Parity Violation

Details Spontaneous Parity Violation Spontaneous Parity Violation

2005-06-28

arxiv.org/abs/hep-lat/0506028v1

Phys.Rev.D72:076003,2005

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages

Scientific paper

10.1103/PhysRevD.72.076003

We disprove the Vafa-Witten theorem on the impossibility of spontaneously breaking parity in vector-like gauge field theories, identifying a mechanism driven by quantum fluctuations. With the introduction of a meromorphic Lattice formulation, defined over 5 dimensions, we demonstrate that the minima of the free energy can be distinct from the maxima of the partition function : identifying and evaluating a suitable contour for the partition function defined such that asymptotic behaviour of the complex action is non-oscillatory.

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