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High Energy Physics - Phenomenology

arXiv:2109.13386 (hep-ph)
[Submitted on 9 Sep 2021]

Title:Vacuum replicas in field-theory models of Coulomb QCD

Authors:Pedro J. de A. Bicudo, Eduardo Garnacho Velasco, Felipe J. Llanes-Estrada, J. Emilio Ribeiro, Víctor Serrano Herreros, Jorge Vallejo Fernández
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Abstract:Dynamical symmetry breaking can happen through a Higgs mechanism but also spontaneously within a strongly-enough coupled theory. We treat a field-theoretical quark model of QCD based on a linear+Coulomb Cornell potential (to account for the longitudinal interaction), together with a transverse interaction (to account for Coulomb-gauge gluons) in BCS approximation. After extracting the well-known BCS ground state on which abundant hadron phenomenology implementing dynamical chiral symmetry breaking has been built, we find two excited replica vacuumlike states shown in figure 1. At the BCS level they are classically unstable, but second quantization blocks transitions between them in volumes much larger than a hadron size. Mesons built over the replica vacua have relative masses similar to normal mesons on the ordinary vacuum; we find no negative-mass mode, confirming their stability found earlier with a harmonic oscillator potential.
Comments: 4 pages, 4 plots, proceedings of EPS-HEP21
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2109.13386 [hep-ph]
  (or arXiv:2109.13386v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.2109.13386

Submission history

From: Felipe J. Llanes-Estrada [view email]
[v1] Thu, 9 Sep 2021 06:24:21 UTC (356 KB)
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