Fixed point merger in the SU(N) gauge beta functions

被引:10
作者
Kusafuka, Yuki [1 ]
Terao, Haruhiko [1 ]
机构
[1] Nara Womens Univ, Dept Phys, Nara 6308506, Japan
来源
PHYSICAL REVIEW D | 2011年 / 84卷 / 12期
关键词
WILSON RENORMALIZATION-GROUP; CONFORMAL PHASE-TRANSITION; CHIRAL-SYMMETRY-BREAKING; QUARK MASS; FLOW; TEMPERATURE; INVARIANCE; EQUATIONS; DYNAMICS; QCD;
D O I
10.1103/PhysRevD.84.125006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss qualitative behavior of the SU(N) gauge beta functions in QCD with many massless flavors. Nonperturbative beta functions can be obtained by extracting the renormalized trajectories in the exact renormalization group framework. We examine the renormalization group equations for the general four-fermi couplings as well as the gauge coupling obtained in a simple approximation scheme. It is shown that the gauge beta function possesses not only an IR but also a UV fixed point in the conformal window. These fixed points merge with each other and disappear at the edge of the conformal window. The scaling dimensions of the quark mass operator at the fixed points are also shown.
引用
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页数:17
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