Dyson-Schwinger Approach to Hamiltonian QCD

被引:1
作者
Campagnari, Davide [1 ]
Reinhardt, Hugo [1 ]
Huber, Markus Q. [2 ]
Vastag, Peter [1 ]
Ebadati, Ehsan [1 ]
机构
[1] Univ Tubingen, Inst Theoret Phys, Morgenstelle 14, D-72076 Tubingen, Germany
[2] Karl Franzens Univ Graz, Inst Phys, NAWI Graz, Univ Pl 5, A-8010 Graz, Austria
来源
XIITH QUARK CONFINEMENT AND THE HADRON SPECTRUM | 2017年 / 137卷
关键词
CHIRAL-SYMMETRY-BREAKING;
D O I
10.1051/epjconf/201713703004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Dyson-Schwinger equations are an established, powerful non-perturbative tool for QCD. In the Hamiltonian formulation of a quantum field theory they can be used to perform variational calculations with non-Gaussian wave functionals. By means of the DSEs the various n-point functions, needed in expectation values of observables like the Hamilton operator, can be thus expressed in terms of the variational kernels of our trial ansatz. Equations of motion for these variational kernels are derived by minimizing the energy density and solved numerically.
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共 22 条
[1]   CHIRAL SYMMETRY-BREAKING IN COULOMB GAUGE QCD [J].
ADLER, SL ;
DAVIS, AC .
NUCLEAR PHYSICS B, 1984, 244 (02) :469-491
[2]   CHIRAL SYMMETRY-BREAKING IN AN INSTANTANEOUS APPROXIMATION TO COULOMB GAUGE QCD [J].
ALKOFER, R ;
AMUNDSEN, PA .
NUCLEAR PHYSICS B, 1988, 306 (02) :305-342
[3]  
Berezin F. A., 1966, Pure Appl. Phys., V24
[4]   Coulomb-Gauge Gluon Propagator and the Gribov Formula [J].
Burgio, G. ;
Quandt, M. ;
Reinhardt, H. .
PHYSICAL REVIEW LETTERS, 2009, 102 (03)
[5]   Revised variational approach to QCD in Coulomb gauge [J].
Campagnari, Davide R. ;
Ebadati, Ehsan ;
Reinhardt, Hugo ;
Vastag, Peter .
PHYSICAL REVIEW D, 2016, 94 (07)
[6]   Dyson-Schwinger approach to Hamiltonian quantum chromodynamics [J].
Campagnari, Davide R. ;
Reinhardt, Hugo .
PHYSICAL REVIEW D, 2015, 92 (06)
[7]   Hamiltonian approach to QCD in Coulomb gauge: Perturbative treatment of the quark sector [J].
Campagnari, Davide R. ;
Reinhardt, Hugo .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2015, 30 (17)
[8]   Non-Gaussian wave functionals in Coulomb gauge Yang-Mills theory [J].
Campagnari, Davide R. ;
Reinhardt, Hugo .
PHYSICAL REVIEW D, 2010, 82 (10)
[9]   Subcritical solution of the Yang-Mills Schrodinger equation in the Coulomb gauge [J].
Epple, D. ;
Reinhardt, H. ;
Schleifenbaum, W. ;
Szczepaniak, A. P. .
PHYSICAL REVIEW D, 2008, 77 (08)
[10]   Confining solution of the Dyson-Schwinger equations in Coulomb gauge [J].
Epple, D. ;
Reinhardt, H. ;
Schleifenbaum, W. .
PHYSICAL REVIEW D, 2007, 75 (04)