Solving coupled Dyson-Schwinger equations on a compact manifold

被引:29
作者
Fischer, C. S. [1 ]
Grueter, B.
Alkofer, R.
机构
[1] Univ Durham, Inst Particle Phys Phenomenol, Durham DH1 3LE, England
[2] Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany
[3] Graz Univ, Inst Phys, A-8010 Graz, Austria
关键词
non-linear integral equations; infrared behaviour; non-perturbative QCD; running coupling; Dyson-Schwinger equations;
D O I
10.1016/j.aop.2005.11.007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present results for the gluon and ghost propagators in SU(N) Yang-Mills theory on a four-torus at zero and non-zero temperatures from a truncated set of Dyson-Schwinger equations. When compared to continuum solutions at zero temperature sizeable modifications due to the finite volume of the manifold, especially in the infrared, are found. Effects due to non-vanishing temperatures T, on the other hand, are minute for T < 250 MeV. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:1918 / 1938
页数:21
相关论文
共 40 条
[1]   Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory [J].
Alkofer, R ;
Fischer, CS ;
Llanes-Estrada, FJ .
PHYSICS LETTERS B, 2005, 611 (3-4) :279-288
[2]   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
[3]   alpha(s) from the non-perturbatively renormalised lattice three-gluon vertex [J].
Alles, B ;
Henty, DS ;
Panagopoulos, H ;
Parrinello, C ;
Pittori, C ;
Richards, DG .
NUCLEAR PHYSICS B, 1997, 502 (1-2) :325-342
[4]  
Atkinson D, 1998, PHYS REV D, V58, DOI 10.1103/PhysRevD.58.094036
[5]  
Bellac M, 1996, Thermal Field Theory
[6]   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)
[7]  
Boucaud P, 2003, J HIGH ENERGY PHYS
[8]   Unquenched gluon propagator in Landau gauge [J].
Bowman, PO ;
Heller, UM ;
Leinweber, DB ;
Parappilly, MB ;
Williams, AG .
PHYSICAL REVIEW D, 2004, 70 (03)
[9]  
Cucchieri A, 2004, J HIGH ENERGY PHYS
[10]   Infrared behavior and running couplings in interpolating gauges in QCD [J].
Fischer, CS ;
Zwanziger, D .
PHYSICAL REVIEW D, 2005, 72 (05)