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<p>We study the dynamics and phase structure of Abelian gauge theories in <i>d</i> = 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 <i>c</i> = 1 and <i>c</i> = 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.</p>

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Phases of 2d gauge theories and symmetric mass generation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月20日

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  • Rishi Mouland,
  • David Tong,
  • Bernardo Zan

摘要

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.