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タイトル: | Semiclassics with 't Hooft flux background for QCD with 2-index quarks |
著者: | Tanizaki, Yuya https://orcid.org/0000-0003-1283-1808 (unconfirmed) Unsal, Mithat |
著者名の別形: | 谷崎, 佑弥 |
キーワード: | Anomalies in Field and String Theories Confinement Spontaneous Symmetry Breaking |
発行日: | Aug-2022 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2022 |
号: | 8 |
論文番号: | 38 |
抄録: | We study quantum chromodynamics including the two-index symmetric or anti-symmetric quark (QCD(Sym/ASym)) on small ℝ² × T² with a suitable magnetic flux. We first discuss the ’t Hooft anomaly of these theories and claim that discrete chiral symmetry should be spontaneously broken completely to satisfy the anomaly matching condition. The T² compactification with the magnetic flux preserves the ’t Hooft anomaly, and the 2d effective theory is constrained by the same anomaly of 4d QCD(Sym/ASym). We demonstrate the spontaneous breakdown of chiral symmetry using the dilute gas of center vortices, which confirms the prediction of the ’t Hooft anomaly. We also find that each vacuum maintains the charge conjugation symmetry, and this gives affirmative support for the nonperturbative large-N orientifold equivalence between QCD(Sym/ASym) and N = 1 supersymmetric SU(N) Yang-Mills theory. |
著作権等: | This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Copyright © 2022, The Author(s) |
URI: | http://hdl.handle.net/2433/276728 |
DOI(出版社版): | 10.1007/JHEP08(2022)038 |
出現コレクション: | 学術雑誌掲載論文等 |
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