Infrared phases of \(2d\) QCD
From MaRDI portal
Publication:6041734
DOI10.1007/JHEP02(2023)157arXiv2108.02202OpenAlexW4321091466MaRDI QIDQ6041734
Author name not available (Why is that?)
Publication date: 12 May 2023
Published in: (Search for Journal in Brave)
Abstract: We derive the necessary and sufficient conditions for a 2d QCD theory of massless gluons and left and right chiral quarks in arbitrary representations of a gauge group G to develop a mass gap. These results are obtained from spectral properties of the lightcone and temporal QCD Hamiltonians. The conditions can be explicitly solved, and we provide the complete list of all 2d QCD theories that have a quantum mechanical gap in the spectrum, while any other theory not in the list is gapless. The list of gapped theories includes QCD models with quarks in vector-like as well as chiral representations. The gapped theories consist of several infinite families of classical gauge groups with quarks in rank 1 and 2 representations, plus a finite number of isolated cases. We also put forward and analyze the effective infrared description of QCD - TQFTs for gapped theories and CFTs for gapless theories - and exhibit several interesting features in the infrared, such as the existence of non-trivial global 't Hooft anomalies and emergent supersymmetry. We identify 2d QCD theories that flow in the infrared to celebrated CFTs such as minimal models, bosonic and supersymmetric, and Wess-Zumino-Witten and Kazama-Suzuki models.
Full work available at URL: https://arxiv.org/abs/2108.02202
No records found.
No records found.
This page was built for publication: Infrared phases of \(2d\) QCD
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6041734)
