Phases of 2d Gauge Theories and Symmetric Mass Generation

• URL: http://arxiv.org/abs/2509.12305v1
• Date: Mon, 15 Sep 2025 18:00:00 GMT
• Title: Phases of 2d Gauge Theories and Symmetric Mass Generation
• Authors: Rishi Mouland, David Tong, Bernardo Zan,
• Abstract summary: We study the dynamics and phase structure of Abelian gauge theories in $d=1+1$ dimensions.<n>We build up to the study of 2d chiral gauge theories, which hold particular interest because they provide a mechanism for symmetric mass generation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the dynamics and phase structure of Abelian gauge theories in $d=1+1$ dimensions. These include $U(1)$ gauge theory coupled to a scalar and a fermion, as well as the two-flavour Schwinger model with different charges. Both theories exhibit a surprisingly rich phase diagram as masses are varied, with both $c=1$ and $c=1/2$ critical lines or points. We build up to the study of 2d chiral gauge theories, which hold particular interest because they provide a mechanism for symmetric mass generation, a phenomenon in which fermions become gapped without breaking chiral symmetries.

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