Orbifold equivalence for finite density QCD and effective field theory
Orbifold equivalence for finite density QCD and effective field theory
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有限密度 QCD 和有效场理论的轨道等效
DOI：
10.1007/jhep06(2011)034
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发表时间：
2011
影响因子：
5.4
通讯作者：
B. Tiburzi
中科院分区：
文献类型：
--
作者：
A. Cherman;B. Tiburzi
在大Nc极限下，由于大Nc轨道等价性，一些明显不同的规范理论被证明是等价的。我们使用有效场论技术来探索orbifold等价，专注于最近发现的SO（2NC）规范理论和QCD之间的关系的具体情况。只要我们用某些“双迹”项来变形SO（2 N c）理论，那么在有限重子化学势μ B上，与QCD的等价性就被认为是成立的。与有限μ B下的SU（Nc）QCD相比，形变SO（2Nc）理论在手征极限下可以不存在符号问题. SO（2Nc）理论中双迹形变的目的是防止重子数对称性在有限密度下自发破缺，这是与大Nc QCD等价的必要条件.本文给出的有效场论分析阐明了双迹形变的物理意义，并有力地支持了形变SO（2Nc）理论与有限密度下大NcQCD之间的等价性.
In the large N c limit, some apparently different gauge theories turn out to be equivalent due to large N c orbifold equivalence. We use effective field theory techniques to explore orbifold equivalence, focusing on the specific case of a recently discovered relation between an SO (2N c) gauge theory and QCD. The equivalence to QCD has been argued to hold at finite baryon chemical potential, μ B, so long as one deforms the SO (2N c) theory by certain “double-trace” terms. The deformed SO (2N c) theory can be studied without a sign problem in the chiral limit, in contrast to SU (N c) QCD at finite μ B. The purpose of the double-trace deformation in the SO (2N c) theory is to prevent baryon number symmetry from breaking spontaneously at finite density, which is necessary for the equivalence to large N c QCD to be valid. The effective field theory analysis presented here clarifies the physical significance of double-trace deformations, and strongly supports the proposed equivalence between the deformed SO (2N c) theory and large N c QCD at finite density.