Infrared exponents and running coupling of SU(N) Yang-Mills theories

被引：179

作者：

Fischer, CS ^{[1
]}

Alkofer, R ^{[1
]}

机构：

[1] Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany

来源：

PHYSICS LETTERS B | 2002年 / 536卷 / 1-2期

关键词：

confinement; non-perturbative QCD; running coupling constant; gluon propagator; Dyson-Schwinger equations; infrared behaviour;

D O I：

10.1016/S0370-2693(02)01809-9

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present approximate solutions for the gluon and ghost propagators as well as the running coupling in Landau gauge Yang-Mills theories, We solve the corresponding Dyson-Schwinger equations in flat Euclidean spacetime without any angular approximation. This supplements recently obtained results employing a four-torus, i.e., a compact spacetime manifold, as infrared regulator. We confirm previous findings deduced from an extrapolation with tori of different volumes: the gluon propagator is weakly vanishing in the infrared and the ghost propagator is highly singular. For non-vanishing momenta our propagators are in remarkable agreement with recent lattice calculations. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：177 / 184

页数：8

共 23 条

[1] The infrared behaviour of QCD Green's functions - Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states [J].

Alkofer, R ;

von Smekal, L .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 353 (5-6) :281-465

[2]

ALKOFER R, HEPPH0105142

[3] QCD in the infrared with exact angular integrations [J].

Atkinson, D ;

Bloch, JCR .

MODERN PHYSICS LETTERS A, 1998, 13 (13) :1055-1062

[4]

Atkinson D, 1998, PHYS REV D, V58, DOI 10.1103/PhysRevD.58.094036

[5] Multiplicative renormalizability of gluon and ghost propagators in QCD [J].

Bloch, JCR .

PHYSICAL REVIEW D, 2001, 64 (11)

[6]

BONNET FD, 2000, PHYS REV D, V62

[7] Infinite volume and continuum limits of the Landau-gauge gluon propagator [J].

Bonnet, FDR ;

Bowman, PO ;

Leinweber, DB ;

Williams, AG ;

Zanotti, JM .

PHYSICAL REVIEW D, 2001, 64 (03)

[8] STUDIES OF CONFINEMENT - HOW QUARKS AND GLUONS PROPAGATE [J].

BROWN, N ;

PENNINGTON, MR .

PHYSICAL REVIEW D, 1988, 38 (07) :2266-2276

[9] Elusiveness of infrared critical exponents in Landau gauge Yang-Mills theories [J].

Fischer, CS ;

Alkofer, R ;

Reinhardt, H .

PHYSICAL REVIEW D, 2002, 65 (09) :940081-9400819

[10]

Groom DE, 2000, EUR PHYS J C, V15, P1

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