Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results

被引：456

作者：

Dudal, D. ^{[1
]}

Gracey, J. A. ^{[2
]}

Sorella, S. P. ^{[3
]}

Vandersickel, N. ^{[1
]}

Verschelde, H. ^{[1
]}

机构：

[1] Univ Ghent, Dept Math Phys & Astron, B-9000 Ghent, Belgium

[2] Univ Liverpool, Div Theoret Phys, Dept Math Sci, Liverpool L69 3BX, Merseyside, England

[3] Univ Estado Rio de Janeiro, Dept Fis Teor, Inst Fis, BR-20550013 Rio De Janeiro, Brazil

来源：

PHYSICAL REVIEW D | 2008年 / 78卷 / 06期

基金：

英国科学技术设施理事会;

关键词：

D O I：

10.1103/PhysRevD.78.065047

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Recent lattice data have reported an infrared suppressed, positivity violating gluon propagator which is nonvanishing at zero momentum and a ghost propagator which is no longer enhanced. This paper discusses how to obtain analytical results which are in qualitative agreement with these lattice data within the Gribov-Zwanziger framework. This framework allows one to take into account effects related to the existence of gauge copies, by restricting the domain of integration in the path integral to the Gribov region. We elaborate to great extent on a previous short paper by presenting additional results, also confirmed by the numerical simulations. A detailed discussion on the soft breaking of the Becchi-Rouet-Stora- Tyutin symmetry arising in the Gribov-Zwanziger approach is provided.

引用

页数：30

共 53 条

[1] Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations [J].

Aguilar, A. C. ;

Binosi, D. ;

Papavassiliou, J. .

PHYSICAL REVIEW D, 2008, 78 (02)

[2] Analytic properties of the Landau gauge gluon and quark propagators [J].

Alkofer, R ;

Detmold, W ;

Fischer, CS ;

Maris, P .

PHYSICAL REVIEW D, 2004, 70 (01) :014014-1

[3] 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

[4]

[Anonymous], ARXIVMATHPH0010025

[5]

Bloch JCR, 2004, NUCL PHYS B, V687, P76, DOI [10.1016/j.nuclphysb.2004.03.021, 10.1016/j.nuciphysb.2004.03.021]

[6]

Bogolubsky I. L., 2007, P SCI LAT2007, VLAT2007, P290

[7]

Boucaud P, 2001, PHYS REV D, V63, DOI 10.1103/PhysRevD.63.114003

[8] On the IR behaviour of the Landau-gauge ghost propagator [J].

Boucaud, Ph. ;

Leroy, J. P. ;

Le Yaouanc, A. ;

Micheli, J. ;

Pene, O. ;

Rodriguez-Quintero, J. .

JOURNAL OF HIGH ENERGY PHYSICS, 2008, (06)

[9] Scaling behavior and positivity violation of the gluon propagator in full QCD [J].

Bowman, Patrick O. ;

Heller, Urs M. ;

Leinweber, Derek B. ;

Parappilly, Maria B. ;

Sternbeck, Andre ;

von Smekal, Lorenz ;

Williams, Anthony G. ;

Zhang, Jianbo .

PHYSICAL REVIEW D, 2007, 76 (09)

[10] The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator Tr ∫ d4xFμν(D2)-1Fμν in the Landau gauge [J].

Capri, M. A. L. ;

Dudal, D. ;

Lemes, V. E. R. ;

Sobreiro, R. F. ;

Sorella, S. P. ;

Thibes, R. ;

Verschelde, H. .

EUROPEAN PHYSICAL JOURNAL C, 2007, 52 (02) :459-476

← 1 2 3 4 5 6 →