A fully solvable model of fermionic interaction in 3 + 1d

Journal Article · 03 September 2023 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2023)017 · OSTI ID:2420665

Grable, Seth ^[1]; Weiner, Max ^[2]

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1. Univ. of Colorado, Boulder, CO (United States); Univ. of Colorado, Boulder, CO (United States)
2. Univ. of Colorado, Boulder, CO (United States)

Recently, Romatschke found that the poles in O(N) scalar theories do not affect observables such as temperature and pressure. Romatschke went on to show this result holds for marginal, relevant, and irrelevant operators in 3 + 1d O(N) scalar theories. We continue in this direction by studying large-N fermi-interactions in 3 + 1d. To do so, we produce a model of marginally coupled fermi-interactions which is fully renormalizable at large-N. This theory contains poles in the running coupling, however we argue these poles do not affect any physical observables. Further, our theory contains first order phase transition which separates a stable, meta-stable, and unstable phase.

• Research Organization: Univ. of Colorado, Boulder, CO (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC0017905
• OSTI ID: 2420665
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2023; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English