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Baryon currents in QCD with compact dimensions

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arxiv hep-th/0702167 v2 pith:H5FE7STS submitted 2007-02-20 hep-th hep-lathep-ph

classification hep-thhep-lathep-ph
keywords compactcurrentdimensionsaroundbaryonbaryonicbeyondbreak
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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  1. Topological properties around the Roberge-Weiss transition in $N_f = 2 + 1 + 1$ QCD

    hep-lat 2026-08 conditional novelty 6.0 of 10

    Along the Roberge-Weiss line in 2+1+1 flavor QCD, the topological charge cumulant b2 becomes compatible with the dilute instanton gas value as soon as T exceeds T_RW, like in pure gauge theory.

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