Functional Renormalization for Chiral and $U_A(1)$ Symmetries at Finite Temperature
Functional Renormalization for Chiral and $U_A(1)$ Symmetries at Finite Temperature
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DOI：
10.1103/physrevd.86.105016
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发表时间：
2012-09
影响因子：
5
通讯作者：
Yin Jiang;P. Zhuang
中科院分区：
文献类型：
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作者：
Yin Jiang;P. Zhuang
将泛函重整化群应用于SU（3）线性σ模型，研究了有限温度下的手征对称性和U_A（1）反常。将经典场周围的定域势展开，导出了重整化参数的流方程。在手征极限下，手征凝聚体的流动方程与其他方程解耦，可以解析求解。Goldstone定理在真空和有限温度下都是成立的，手征和U_A（1）对称性恢复的两个相变都发生在同一个临界温度。在一般的手征对称性破缺情况下，这两种对称性在高温极限下部分缓慢地恢复，并且标量和赝标介子质量受恢复的控制.
We investigated the chiral symmetry and U_A(1) anomaly at finite temperature by applying the functional renormalization group to the SU(3) linear sigma model. Expanding the local potential around the classical fields, we derived the flow equations for the renormalization parameters. In chiral limit, the flow equation for the chiral condensate is decoupled from the others and can be analytically solved. The Goldstone theorem is guaranteed in vacuum and at finite temperature, and the two phase transitions for the chiral and U_A(1) symmetry restoration happen at the same critical temperature. In general case with explicit chiral symmetry breaking, the two symmetries are partially and slowly restored, and the scalar and pseudoscalar meson masses are controlled by the restoration in the limit of high temperature.