Remarks on QCD 4 with fundamental and adjoint matter

Anber, Mohamed M.; Lohitsiri, Nakarin; Sulejmanpasic, Tin

Abstract

We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter — either bosonic or fermionic. Symmetries, their ’t Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk phases. The first part of the paper is dedicated to a single fundamental fermion or boson. As long as the adjoint Weyl fermion is massless, this theory always possesses a ℤ2Nχ chiral symmetry, which breaks spontaneously, supporting N vacua and domain walls between them for a generic mass of the matter fields. We argue, however, that the domain walls generically undergo a phase transition, and we establish the corresponding 3d gauge theories on the walls. The rest of the paper is dedicated to studying the multi-flavor fundamental matter. Here, the phases crucially depend on the ratio of the number of colors and the number of fundamental flavors. We also discuss the limiting scenarios of heavy adjoint and fundamentals, which align neatly with our current understanding of QCD and N = 1 super Yang-Mills theory.

Citation

Anber, M. M., Lohitsiri, N., & Sulejmanpasic, T. (2023). Remarks on QCD 4 with fundamental and adjoint matter. Journal of High Energy Physics, 2023(12), Article 63. https://doi.org/10.1007/jhep12%282023%29063

• Journal Article Type: Article
• Acceptance Date: Nov 27, 2023
• Online Publication Date: Dec 12, 2023
• Publication Date: 2023-12
• Deposit Date: Dec 20, 2023
• Publicly Available Date: Dec 20, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 12
• Article Number: 63
• DOI: https://doi.org/10.1007/jhep12%282023%29063
• Keywords: Anomalies in Field and String Theories, Discrete Symmetries, Confinement, Nonperturbative Effects
• Public URL: https://durham-repository.worktribe.com/output/2027606