T hooft anomaly matching for QCD

T hooft anomaly matching for QCD
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QCD 的 T 蹄异常匹配

DOI:
10.1103/physrevlett.80.2517
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发表时间:
1997
影响因子:
8.6
通讯作者:
J. Terning
J. Terning
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
J. Terning

文献摘要

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提出了一套非平凡的F型QCD的Hooft异常匹配理论。匹配理论是具有“对偶”夸克和重子的农阿贝尔规范理论,而不是胡夫特最初寻找的纯粹的重子禁闭理论。匹配的仪表组必须具有FPM 6维表示法。这样的对应关系让人想起Seiberg关于超对称(SUSY)QCD的对偶性,而这些理论是对非SUSY对偶性的条件。然而,异常匹配本身并不具有足够的限制性,目前还不能建立QCD的对偶性。至少,多个异常匹配解的存在应该对猜想的非超系统二元性提出警告。
I present a set of theories which display non-trivial 'tHooft anomaly matching for QCD with F flavors. The matching theories arenon-Abelian gauge theories with "dual" quarks and baryons, rather thanthe purely confining theories of baryons that 't Hooft originallysearched for. The matching gauge groups are required to have an Fpm 6dimensional representation. Such a correspondence is reminiscent ofSeiberg's duality for supersymmetric (SUSY) QCD, and these theories arecandidates for non-SUSY duality. However anomaly matching by itself isnot sufficiently restrictive, and duality for QCD cannot be establishedat present. At the very least, the existence of multiple anomaly matchingsolutions should provide a note of caution regarding conjectured non-SUSYdualities.