Three-gluon vertex in Landau gauge

被引:123
作者
Eichmann, Gernot [1 ]
Williams, Richard [1 ]
Alkofer, Reinhard [2 ]
Vujinovic, Milan [2 ]
机构
[1] Univ Giessen, Inst Theoret Phys, D-35392 Giessen, Germany
[2] Karl Franzens Univ Graz, Inst Phys, A-8010 Graz, Austria
来源
PHYSICAL REVIEW D | 2014年 / 89卷 / 10期
基金
奥地利科学基金会;
关键词
YANG-MILLS THEORY; DYSON-SCHWINGER EQUATIONS; EXTENDED ITERATIVE SCHEME; INFRARED BEHAVIOR; SYMMETRY-BREAKING; GREENS-FUNCTIONS; 4-GLUON VERTEX; QCD; RENORMALIZATION; VERTICES;
D O I
10.1103/PhysRevD.89.105014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present the first Dyson-Schwinger calculation of the three-gluon vertex in Landau-gauge QCD in which its full covariant structure is back-coupled self-consistently. We truncate a Bose-symmetrized version of the Dyson-Schwinger equation at the level of one-loop diagrams, model the four-gluon vertex, and neglect terms that contain nonprimitively divergent n-point functions; the ghost-gluon vertex is taken bare to good approximation. Fit functions for the ghost and gluon propagators that interpolate between scaling and decoupling are presented. In all aspects of our study, Bose symmetry is manifest, from the truncation to the basis decomposition and to the momentum invariants. We explore the uniform and soft-collinear infrared limits and obtain the expected infrared exponents. The presence of a zero crossing in the tree-level component of the vertex is confirmed for both scaling- and decoupling-type scenarios. The zero crossing appears at a scale similar to 1 GeV; however, its location might be sensitive to the four-gluon vertex and missing components in the Dyson-Schwinger equation.
引用
收藏
页数:20
相关论文
共 67 条
[1]   Effects of divergent ghost loops on the Green's functions of QCD [J].
Aguilar, A. C. ;
Binosi, D. ;
Ibanez, D. ;
Papavassiliou, J. .
PHYSICAL REVIEW D, 2014, 89 (08)
[2]   Chiral symmetry breaking with lattice propagators [J].
Aguilar, A. C. ;
Papavassiliou, J. .
PHYSICAL REVIEW D, 2011, 83 (01)
[3]   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)
[4]  
Ahmadiniaz N., 2013, PoS QCD-TNT-III, P002, DOI [10.22323/1.193.0002, DOI 10.22323/1.193.0002]
[5]   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
[6]   Infrared behavior of three-point functions in Landau gauge Yang-Mills theory [J].
Alkofer, R. ;
Huber, M. Q. ;
Schwenzer, K. .
EUROPEAN PHYSICAL JOURNAL C, 2009, 62 (04) :761-781
[7]   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
[8]   Infrared singularities in Landau gauge Yang-Mills theory [J].
Alkofer, Reinhard ;
Huber, Markus Q. ;
Schwenzer, Kai .
PHYSICAL REVIEW D, 2010, 81 (10)
[9]   The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement [J].
Alkofer, Reinhard ;
Fischer, Christian S. ;
Llanes-Estrada, Felipe J. ;
Schwenzer, Kai .
ANNALS OF PHYSICS, 2009, 324 (01) :106-172
[10]   On the Landau-gauge adjoint quark propagator [J].
August, Daniel ;
Maas, Axel .
JOURNAL OF HIGH ENERGY PHYSICS, 2013, (07)