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Spontaneous Parity Violation

High Energy Physics - Lattice 2008-11-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-lat/0506028,
  title  = {Spontaneous Parity Violation},
  author = {P. R. Crompton},
  journal= {arXiv preprint arXiv:hep-lat/0506028},
  year   = {2008}
}

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6 pages