Infrared divergences, mass shell singularities and gauge dependence of the dynamical fermion mass

被引：13

作者：

Das, Ashok K. ^{[1
,2
]}

Frenkel, J. ^{[3
]}

Schubert, C. ^{[4
]}

机构：

[1] Univ Rochester, Dept Phys & Astron, Rochester, NY 14627 USA

[2] Saha Inst Nucl Phys, Kolkata 700064, W Bengal, India

[3] Univ Sao Paulo, Inst Fis, BR-05508090 Sao Paulo, Brazil

[4] Michoacan Univ, Inst Phys, Morelia 58040, Michoacan, Mexico

来源：

PHYSICS LETTERS B | 2013年 / 720卷 / 4-5期

基金：

巴西圣保罗研究基金会;

关键词：

SCHWINGER MODEL; BEHAVIOR; POLE; RENORMALIZATION; SYMMETRY; BREAKING; ABSENCE; QCD;

D O I：

10.1016/j.physletb.2013.02.036

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the behavior of the dynamical fermion mass when infrared divergences and mass shell singularities are present in a gauge theory. In particular, in the massive Schwinger model in covariant gauges we find that the pole of the fermion propagator is divergent and gauge dependent at one loop, but the leading singularities cancel in the quenched rainbow approximation. On the other hand, in physical gauges, we find that the dynamical fermion mass is finite and gauge independent at least up to one loop. (c) 2013 Elsevier B.V. All rights reserved.

引用

页码：414 / 418

页数：5

共 24 条

[1] RENORMALIZATION OF GAUGE THEORIES [J].

BECCHI, C ;

ROUET, A ;

STORA, R .

ANNALS OF PHYSICS, 1976, 98 (02) :287-321

[2] RENORMALIZATION OF ABELIAN HIGGS-KIBBLE MODEL [J].

BECCHI, C ;

ROUET, A ;

STORA, R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 42 (02) :127-162

[3] THE NIELSEN IDENTITIES FOR THE 2-POINT FUNCTIONS OF QED AND QCD [J].

BRECKENRIDGE, JC ;

LAVELLE, MJ ;

STEELE, TG .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1995, 65 (01) :155-164

[4] VACUUM POLARIZATION AND ABSENCE OF FREE QUARKS [J].

CASHER, A ;

KOGUT, J ;

SUSSKIND, L .

PHYSICAL REVIEW D, 1974, 10 (02) :732-745

[5] MORE ABOUT MASSIVE SCHWINGER MODEL [J].

COLEMAN, S .

ANNALS OF PHYSICS, 1976, 101 (01) :239-267

[6]

COLEMAN S, 1975, ANN PHYS-NEW YORK, V93, P267, DOI 10.1016/0003-4916(75)90212-2

[7]

Das A., 1997, FINITE TEMPERATURE F

[8] INFRARED BEHAVIOR IN NON-ABELIAN GAUGE THEORIES [J].

FRENKEL, J ;

MEULDERMANS, R ;

MOHAMMAD, I ;

TAYLOR, JC .

PHYSICS LETTERS B, 1976, 64 (02) :211-212

[9] CLASS OF GHOST-FREE NON-ABELIAN GAUGE THEORIES [J].

FRENKEL, J .

PHYSICAL REVIEW D, 1976, 13 (08) :2325-2334

[10] REAL AND VIRTUAL IR BEHAVIOR IN YANG-MILLS THEORY [J].

FRENKEL, J ;

MEULDERMANS, R ;

MOHAMMAD, I ;

TAYLOR, JC .

NUCLEAR PHYSICS B, 1977, 121 (01) :58-76

← 1 2 3 →