Spontaneous Parity Violation

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.

6 pages

References in corpus (19)

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Cited by in corpus (10)

• Renormalization group running of neutrino parameters
• Singular values of the Dirac operator in dense QCD-like theories
• The Partition Function Zeroes of Quantum Critical Points
• Parity realization in Vector-like theories from Fermion Bilinears
• Elucidating the Vacuum Structure of the Aoki Phase
• Exact Nonperturbative Renormalization
• Phase structure of a generalized Nambu Jona-Lasinio model with Wilson fermions in the mean field or large $N$-expansion
• Lorentz Covariance and the Dimensional Crossover of 2d-Antiferromagnets
• The Quantum Noise of Ferromagnetic $\pi$-Bloch Domain Walls
• The Lattice $\beta$-function of Quantum Spin Chains