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arXiv 2408.04855hep-th
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三维Gross-Neveu-Thirring模型的宇称破坏边缘形变

Parity Violating Marginal Deformation of the 3D Gross-Neveu-Thirring Model

Gordon W. Semenoff, Riley A. Stewart

AI总结:

本研究通过大N展开与重整化群分析宇称破坏形变的三维Gross-Neveu-Thirring混合模型,确定了稳定耦合区间与不动点判据,发现含轻/无质量伸缩子的电荷能隙相及含类Wilson-Fisher不动点的共形窗口,提供了新型非超对称宇称时间反演破坏的三维共形场论实例。

摘要:

本文采用大N展开和重整化群方法,研究了由显式宇称破坏算符形变的临界三维Gross-Neveu模型与Thirring模型的混合模型。研究确定了理论保持稳定的耦合常数区间,并找到了该区间内不动点出现的判据。在特定的Chern-Simons能级范围内,我们发现了稳定的电荷能隙相,该相具有自发破缺的近似标度不变性和一个参量上很轻的伸缩子。将Chern-Simons能级调至稳定边缘时,会出现严格的标度不变性,且该不变性自发破缺,伴随一个无质量伸缩子。在另一个较窄的Chern-Simons能级范围内,我们发现了一个共形窗口,理论在此区间流向类Wilson-Fisher不动点,这是一种新颖(且罕见)的非超对称、非平凡、破坏宇称与时间反演的三维共形场论,包含标量场、旋量场和矢量场。

英文摘要:

A hybrid of the critical three dimensional Gross-Neveu and Thirring models deformed by explicit parity breaking operators is studied in the large N expansion and using the renormalization group. The regime of coupling constants where the theory is stable is identified and criteria for the occurrence of fixed points in that regime are found. For a certain range of Chern-Simons level, we find stable charge-gapped phase with spontaneously broken approximate scale invariance and a parametrically light dilaton. The Chern-Simons level can be tuned to the stability edge resulting in exact scale invariance which is spontaneously broken, accompanied by a massless dilaton. For another, narrow range of Chern-Simons levels we find a conformal window where the theory flows to a Wilson-Fisher-like fixed point and is a novel (and rare) example of a non-supersymmetric non-trivial parity and time reversal violating three dimensional conformal field theory with scalar, spinor and vector fields.

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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