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Baryon currents in QCD with compact dimensions

Presenter: Agostino Patella — Scuola Normale Superiore, Pisa

Biagio Lucini, Agostino Patella, Claudio Pica

On a compact space with non-trivial cycles, for sufficiently small values of the radii of the compact dimensions, SU(N) gauge theories coupled with fermions in the fundamental representation spontaneously break charge conjugation, time reversal and parity. We show at one loop in perturbation theory that physical signature for this phenomenon is a non-zero baryonic current wrapping around the compact directions. The persistence of this current beyond the perturbative regime is checked by lattice simulations.