Spontaneous breaking of discrete symmetries in QCD on a small volume
Sep, 2007
4 pages
Part of Proceedings on 13th International Symposium on Particles, strings, and cosmology (PASCOS 2007) : London, UK, July 2-7, 2007, 229-232
Published in:
- AIP Conf.Proc. 957 (2007) 1, 229-232
Contribution to:
- , 229-232
- PASCOS 2007
- Published: Nov 26, 2007
e-Print:
- 0709.0909 [hep-lat]
DOI:
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Abstract: (AIP)
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 (J) 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.- 11.15.Ex
- 12.38.-t
- 11.30.Qc
- spontaneous symmetry breaking
- quantum chromodynamics
- gauge field theory
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