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Baryon currents in QCD with compact dimensions

2007/02/28 by Biagio Lucini, Agostino Patella, Claudio Pica · 2 citations
Physics and Astronomy · #Baryon #Baryon number #Fermion #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice gauge theory #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Theoretical physics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.75.121701

published as Phys.Rev.D75:121701,2007 · Minor changes, typos corrected; version accepted for publication in Phys. Rev. D

arxiv created 2007/05/21 · openalex publication_date 2007/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

On a compact space with nontrivial 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 a physical signature for this phenomenon is a nonzero 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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