Spontaneous breaking of discrete symmetries in QCD on a small volume

Journal Article · Tue Nov 20 04:00:00 EST 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2823768· OSTI ID:21039316

Lucini, B ^[1]; Patella, A ^[2]; Pica, C ^[3]

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1. Department of Physics, Swansea University, Singleton Park, Swansea SA2 8PP (United Kingdom)
2. Scuola Normale Superiore, Piazza dei Cavalieri 27, 56126 Pisa (Italy) and INFN Pisa, Largo B. Pontecorvo 3 Ed. C, 56127 Pisa (Italy)
3. Physics Department, Brookhaven National Laboratory, Upton, NY 11973 (United States)

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.

• OSTI ID: 21039316
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 957; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
BARYONS
COMPACTIFICATION
COMPUTERIZED SIMULATION
GAUGE INVARIANCE
LATTICE FIELD THEORY
ORDER PARAMETERS
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
REFLECTION
SYMMETRY
SYMMETRY BREAKING