A renormalization group analysis of leading logarithms in ChPT

被引:8
作者
Bissegger, M. [1 ]
Fuhrer, A. [1 ]
机构
[1] Univ Bern, Inst Theoret Phys, CH-3012 Bern, Switzerland
来源
EUROPEAN PHYSICAL JOURNAL C | 2007年 / 51卷 / 01期
关键词
D O I
10.1140/epjc/s10052-007-0292-9
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We give strong evidence that the linear sigma model at small external momenta is an effective theory for the leading logarithms of chiral perturbation theory. Based on this evidence an attempt is made to sum the leading logarithms of chiral perturbation theory to all orders. We illustrate why this summation nonetheless fails when one uses standard renormalization group techniques of renormalizable quantum field theories.
引用
收藏
页码:75 / 82
页数:8
相关论文
共 12 条
[1]   Closed-form summation of renormalization-group-accessible logarithmic contributions to semileptonic B decays and other perturbative processes -: art. no. 014010 [J].
Ahmady, MR ;
Chishtie, FA ;
Elias, V ;
Fariborz, AH ;
Fattahi, N ;
McKeon, DGC ;
Sherry, TN ;
Steele, TG .
PHYSICAL REVIEW D, 2002, 66 (01) :140101-1401025
[2]  
BETTINELLI D, ARXIVHEPTH0611063
[3]  
Bijnens J, 1998, NUCL PHYS B, V517, P639
[4]   Pion-pion scattering at low energy [J].
Bijnens, J ;
Colangelo, G ;
Ecker, G ;
Gasser, J ;
Sainio, ME .
NUCLEAR PHYSICS B, 1997, 508 (1-2) :263-310
[5]   Chiral logarithms beyond two loops [J].
Bissegger, M. ;
Fuhrer, A. .
PHYSICS LETTERS B, 2007, 646 (2-3) :72-79
[6]   Renormalization group equations for effective field theories [J].
Büchler, M ;
Colangelo, G .
EUROPEAN PHYSICAL JOURNAL C, 2003, 32 (03) :427-442
[7]   CHIRAL PERTURBATION-THEORY - EXPANSIONS IN THE MASS OF THE STRANGE QUARK [J].
GASSER, J ;
LEUTWYLER, H .
NUCLEAR PHYSICS B, 1985, 250 (03) :465-516
[8]   CHIRAL PERTURBATION-THEORY TO ONE LOOP [J].
GASSER, J ;
LEUTWYLER, H .
ANNALS OF PHYSICS, 1984, 158 (01) :142-210
[9]   RENORMALIZATION OF SIGMA-MODEL [J].
LEE, BW .
NUCLEAR PHYSICS B, 1969, B 9 (05) :649-&
[10]   SCALAR 2-LOOP INTEGRALS FOR GAUGE BOSON SELF-ENERGY DIAGRAMS WITH A MASSLESS FERMION LOOP [J].
SCHARF, R ;
TAUSK, JB .
NUCLEAR PHYSICS B, 1994, 412 (03) :523-552