PoS - Proceedings of Science
Volume 398 - The European Physical Society Conference on High Energy Physics (EPS-HEP2021) - T11: Quantum Field and String Theory
Vacuum replicas in field-theory models of Coulomb QCD
P. Bicudo, E. Garnacho Velasco, F.J. Llanes-Estrada*, J.E. Ribeiro, V. Serrano Herreros and J. Vallejo Fernández
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Pre-published on: February 17, 2022
Published on: May 12, 2022
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
vacuum like 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.
DOI: https://doi.org/10.22323/1.398.0721
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