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arXiv 1404.7477hep-thhep-ph
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大N时D=3的U(N)Chern-Simons规范理论的质量费米子相

The Massive Fermion Phase for the U(N) Chern-Simons Gauge Theory in D=3 at Large N

William A. Bardeen

摘要:

我们利用大N极限研究了三维U(N)Chern-Simons规范理论中费米子的相结构,其中N是色数,费米子是U(N)规范群的基本表象.在大N极限下,该理论保留了其经典的共形行为,并且相当多的注意力已经被支付给可能的AdS/CFT对偶理论的共形阶段。在本文中,我们提出了一个解决方案的费米子理论的大规模阶段,是准确的领导阶特胡夫特的大N展开。我们提出了精确尺度对称性自发破缺的证据,并分析了尺度对称性破缺的Goldstone玻色子的膨胀性质。

英文摘要:

We explore the phase structure of fermions in the U(N) Chern-Simons gauge theory in three dimensions using the large N limit where N is the number of colors and the fermions are taken to be in the fundamental representation of the U(N) gauge group. In the large N limit, the theory retains its classical conformal behavior and considerable attention has been paid to a possible AdS/CFT duality of the theory in the conformal phase. In this paper we present a solution for the massive phase of the fermion theory that is exact to the leading order of 't Hooft's large N expansion. We present evidence for the spontaneous breaking of the exact scale symmetry and analyze the properties of the dilation that appears as the Goldstone boson of scale symmetry breaking.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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