Evaluation of the Spontaneous Chiral Symmetry Breaking Scale in General Gauge Theories with Non-Perturbative Renormalization Group

被引:7
作者
Aoki, Ken-Ichi [1 ]
Miyashita, Kazuhiro [1 ]
机构
[1] Kanazawa Univ, Inst Theoret Phys, Kanazawa, Ishikawa 9201192, Japan
来源
PROGRESS OF THEORETICAL PHYSICS | 2009年 / 121卷 / 04期
关键词
FINITE-TEMPERATURE; EQUATION; MODEL;
D O I
10.1143/PTP.121.875
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the non-perturbative renormalization group in general vector-like gauge theories. The complete set of local four-fermi operators allowed by the chiral symmetry is taken into account. The beta functions for all those operators with gauge interactions are calculated. Within the four-fermi operator space, we propose two simple methods of evaluating the spontaneous chiral symmetry breaking scale. The large-N part of the system is separately evaluated and approximates the total system very well.
引用
收藏
页码:875 / 884
页数:10
相关论文
共 21 条
[1]   CALCULATING THE DECAY CONSTANT F-PI [J].
AOKI, K ;
BANDO, M ;
KUGO, T ;
MITCHARD, MG ;
NAKATANI, H .
PROGRESS OF THEORETICAL PHYSICS, 1990, 84 (04) :683-701
[2]   Non-ladder extended renormalization group analysis of the dynamical chiral symmetry breaking [J].
Aoki, K ;
Takagi, K ;
Terao, H ;
Tomoyose, M .
PROGRESS OF THEORETICAL PHYSICS, 2000, 103 (04) :815-832
[3]   AN EXTENDED MOST ATTRACTIVE CHANNEL SCENARIO [J].
AOKI, K ;
BANDO, M .
PHYSICS LETTERS B, 1983, 126 (1-2) :101-105
[4]  
AOKI K, UNPUB
[5]  
Aoki KI, 1998, PROG THEOR PHYS SUPP, P129, DOI 10.1143/PTPS.131.129
[6]   Rapidly converging truncation scheme of the exact renormalization group [J].
Aoki, KI ;
Morikawa, K ;
Souma, W ;
Sumi, JI ;
Terao, H .
PROGRESS OF THEORETICAL PHYSICS, 1998, 99 (03) :451-466
[7]   Wilson renormalization group equations for the critical dynamics of chiral symmetry [J].
Aoki, KI ;
Morikawa, K ;
Sumi, JI ;
Terao, H ;
Tomoyose, M .
PROGRESS OF THEORETICAL PHYSICS, 1999, 102 (06) :1151-1162
[8]   Analysis of the Wilsonian effective potentials in dynamical chiral symmetry breaking [J].
Aoki, KI ;
Morikawa, K ;
Sumi, JI ;
Terao, H ;
Tomoyose, M .
PHYSICAL REVIEW D, 2000, 61 (04)
[9]   The effectiveness of the local potential approximation in the Wegner-Houghton renormalization group [J].
Aoki, KI ;
Morikawa, K ;
Souma, W ;
Sumi, JI ;
Terao, H .
PROGRESS OF THEORETICAL PHYSICS, 1996, 95 (02) :409-420
[10]   Introduction to the non-perturbative renormalization group and its recent applications [J].
Aoki, KI .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2000, 14 (12-13) :1249-1326