Universality of spontaneous chiral symmetry breaking in gauge theories

被引:95
|
作者
Gies, H [1 ]
Wetterich, C
机构
[1] CERN, Div Theory, CH-1211 Geneva 23, Switzerland
[2] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany
来源
PHYSICAL REVIEW D | 2004年 / 69卷 / 02期
关键词
D O I
10.1103/PhysRevD.69.025001
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate one-flavor QCD with an additional chiral scalar field. For a large domain in the space of coupling constants, this model belongs to the same universality class as QCD, and the effects of the scalar become unobservable. This is connected to a "bound-state fixed point" of the renormalization flow for which all memory of the microscopic scalar interactions is lost. The QCD domain includes a microscopic scalar potential with minima at a nonzero field. On the other hand, for a scalar mass term m(2) below a critical value m(c)(2), the universality class is characterized by perturbative spontaneous chiral symmetry breaking which renders the quarks massive. Our renormalization group analysis shows how this universality class is continuously connected with the QCD universality class.
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页数:19
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