Mass gaps of a Z 3 gauge theory with three fermion flavors in 1 + 1 dimensions

Florio, Adrien; Weichselbaum, Andreas; Valgushev, Semeon; Pisarski, Robert D.

doi:10.1103/PhysRevD.110.045013

Mass gaps of a $Z_{3}$ gauge theory with three fermion flavors in $1 + 1$ dimensions

Journal Article · Mon Aug 12 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.110.045013· OSTI ID:2429033

Florio, Adrien; ; ;

We consider a $Z_{3}$ gauge theory coupled to three degenerate massive flavors of fermions, which we term Quantum Z(3) Dynamics, QZD. The spectrum can be computed in $1 + 1$ dimensions using tensor networks. In weak coupling the spectrum is that of the expected mesons and baryons, although the corrections in weak coupling are nontrivial, analogous to those of nonrelativistic QED in $1 + 1$ dimensions. In strong coupling, besides the usual baryon, the singlet meson is a baryon-antibaryon state. For two special values of the coupling constant, the lightest baryon is degenerate with the lightest octet meson, and the lightest singlet meson, respectively.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704; SC0021892

OSTI ID:: 2429033

Alternate ID(s):: OSTI ID: 2396616

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 4 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Mass gaps of a Z 3 gauge theory with three fermion flavors in 1 + 1 dimensions

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Mass gaps of a $Z_{3}$ gauge theory with three fermion flavors in $1 + 1$ dimensions