Spontaneous breaking of discrete symmetries in QCD on a small volume

Abstract

In a compact space with non-trivial cycles, for sufficiently small values of the compact dimensions, charge conjugation (C), spatial reflection (P) and time reversal (T) are spontaneously broken in QCD. The order parameter for the symmetry breaking is the trace of the Wilson line wrapping around the compact dimension, which acquires an imaginary part in the broken phase. We show that a physical signature for the symmetry breaking is a persistent baryonic current wrapping in the compact directions. The existence of such a current is derived analytically at first order in perturbation theory and confirmed in the non-perturbative regime by lattice simulations.

arXiv comment4 pages, 2 figures, based on the poster presented by B. Lucini at Pascos 07

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Cited by in corpus (1)

• Discrete symmetry breaking and baryon currents in U(N) and SU(N) gauge theories