arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0910.0764hep-thcond-mat.str-elhep-lat
收藏

具有左右不对称性的d=3手征费米子模型的相变和临界行为

Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry

Holger Gies, Lukas Janssen, Stefan Rechenberger, Michael M. Scherer

摘要:

本文研究了具有U(N_L)_L × U(1)_R手征对称性的三维相对论费米子模型的临界行为,该模型类似于粒子物理学标准模型中的Higgs-Yukawa扇区.我们对所有可能的四费米子相互作用项和相应的离散对称性进行了分类。在标量宇称守恒通道中,对于足够强的相关性,系统可以经历二阶相变到手征对称破缺相,这是电弱相变的3d模拟。当N_L >= 1时,我们用临界指数$ν$和费米子及标量反常维数确定了这种相变的临界行为.我们的模型定义了新的普适类,可以作为原型的强相关手性费米子的研究。

英文摘要:

We investigate the critical behavior of three-dimensional relativistic fermion models with a U(N_L)_L x U(1)_R chiral symmetry reminiscent of the Higgs-Yukawa sector of the standard model of particle physics. We classify all possible four-fermion interaction terms and the corresponding discrete symmetries. For sufficiently strong correlations in a scalar parity-conserving channel, the system can undergo a second-order phase transition to a chiral-symmetry broken phase which is a 3d analog of the electroweak phase transition. We determine the critical behavior of this phase transition in terms of the critical exponent $ν$ and the fermion and scalar anomalous dimensions for N_L >= 1. Our models define new universality classes that can serve as prototypes for studies of strongly correlated chiral fermions.

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。

↑