scholarly journals Effect of the ultraviolet part of the gluon propagator on the heavy quark propagator

1999 ◽  
Vol 59 (3) ◽  
Author(s):  
C. J. Burden
Keyword(s):  
Heavy Quark ◽  
Gluon Propagator ◽  
Quark Propagator

scholarly journals Quark propagator, instantons, and gluon propagator

1999 ◽  
Vol 60 (6) ◽  
Author(s):  
L. S. Kisslinger ◽  
M. Aw ◽  
A. Harey ◽  
O. Linsuain
Keyword(s):  
Gluon Propagator ◽  
Quark Propagator

NONPERTURBATIVE APPROACHES TO DETERMINING THE BEHAVIOR OF THE GLUON PROPAGATOR AND QUARK PROPAGATOR IN QUANTUM CHROMODYNAMICS BY SCHWINGER-DYSON EQUATIONS

1991 ◽  
Vol 06 (19) ◽  
pp. 3321-3345 ◽  
Author(s):  
A. HÄDICKE
Keyword(s):  
Quantum Chromodynamics ◽  
Gluon Propagator ◽  
Background Field ◽  
Mass Function ◽  
Field Method ◽  
Quark Propagator ◽  
Infrared Singularity ◽  
Dynamical Mass ◽  
Covariant Gauge ◽  
Background Field Method

The attempts to describe the behavior of the gluon propagator and quark propagator by using truncated Schwinger-Dyson equations and Slavnov-Taylor identities are reviewed. Special attention is paid to the problem of infrared behavior of Green’s functions. The most important attempts to calculate the gluon propagator using the axial as well as the covariant gauge are critically discussed. Furthermore, an approach concerning the gluon propagator is presented, with the background-field method as its basis. All the calculations confirm more or less the existence of an infrared singularity in the gluon propagator of the form q−4 in momentum space. The calculations to determine the behavior of the dynamical mass function of quarks, where the results concerning the gluon propagator are taken into account, show that chiral symmetry is dynamically broken. Furthermore, it turns out that there is no polelike singularity in the quark propagator. These results agree with the expectations from the confinement philosophy.

MODEL FOR GLUON PROPAGATOR FROM ANALYSIS IN RENORMALIZATION GROUP

1994 ◽  
Vol 09 (26) ◽  
pp. 2421-2429 ◽  
Author(s):  
V.V. KISELEV
Keyword(s):  
Renormalization Group ◽  
Heavy Quark ◽  
Gluon Propagator ◽  
Quark Potential ◽  
Heavy Quark Potential

The gluon propagator is considered on the basis of one-loop calculations in the renormalization group. To describe a set of nonperturbative phenomena such as heavy quark potential, gluon and quark condensates, constituent masses of light quarks, this analysis allows one to propose a model for the gluon propagator in the vicinity of ir region.

NONPERTURBATIVE QUARK PROPAGATOR APPROACH TO QCD AT LARGE DISTANCES

1994 ◽  
Vol 09 (05) ◽  
pp. 759-793 ◽  
Author(s):  
V. SH. GOGOHIA
Keyword(s):  
Gluon Propagator ◽  
Chiral Limit ◽  
Renormalization Constant ◽  
Quark Propagator ◽  
Quark Confinement ◽  
Quark Sector ◽  
Symmetry Breakdown ◽  
Gauge Fixing ◽  
Covariant Gauge ◽  
Multiplicative Renormalizability

A nonperturbative approach to QCD at large distances in the context of the Schwinger-Dyson equations and corresponding Slavnov-Taylor identity in the quark sector is presented. Making only one widely accepted assumption that the full gluon propagator becomes an infrared singular like (q2)−2 in the arbitrary covariant gauge, we find three and only three confinement-type solutions for the quark propagator (quark confinement theorem). Two of them vanish after the removal of the infrared regulation parameter. The third solution does not depend on this latter parameter, but it has no pole and it implies dynamical chiral symmetry breakdown (DCSB), which means a close connection between quark confinement and DCSB. We also show that multiplication solely by the quark infrared renormalization constant would make all the Green’s functions infrared finite (multiplicative renormalizability). The final forms of the renormalized (infrared finite) quark SD equations do not explicitly depend on a gauge-fixing parameter (“gauge invariance”). Our approach is free of ghost complications despite the fact that they play an essential role in nonperturbative dynamics. Our approach also implies the existence of a characteristic scale at which confinement, DCSB and other nonperturbative effects become essential. We solve explicitly the SD equation with corresponding ST identity for the above-mentioned IR finite quark propagator in the chiral limit and apply an effective potential in order to determine completely this solution.

DIPOLE GLUON PROPAGATOR AND QUARKONIUM SPECTROSCOPY

1991 ◽  
Vol 06 (15) ◽  
pp. 1409-1414 ◽  
Author(s):  
Z.E. CHIKOVANI ◽  
L.L. JENKOVSZKY ◽  
F. PACCANONI
Keyword(s):  
Mass Spectrum ◽  
Heavy Quark ◽  
Gluon Propagator ◽  
Gluon Condensate ◽  
Lattice Calculations ◽  
Quark Potential ◽  
Heavy Quark Potential

By using a model for the non-perturbative gluon propagator, suggested by analyticity, we determine the heavy quark potential and calculate the mass spectrum of the [Formula: see text] and [Formula: see text] systems. The same model reproduces the results of lattice calculations for the gluon condensate.

scholarly journals WHAT THE INFRARED BEHAVIOR OF QCD VERTEX FUNCTIONS IN LANDAU GAUGE CAN TELL US ABOUT CONFINEMENT

2007 ◽  
Vol 16 (09) ◽  
pp. 2720-2732 ◽  
Author(s):  
R. ALKOFER ◽  
C. S. FISCHER ◽  
F. J. LLANES-ESTRADA ◽  
K. SCHWENZER
Keyword(s):  
Renormalization Group ◽  
Chiral Symmetry ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Quark Propagator ◽  
Lattice Data ◽  
Gluon Vertex ◽  
Infrared Behavior ◽  
Renormalization Group Equations ◽  
Infrared Singularities

The infrared behavior of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson–Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon vertex functions are presented. Positivity violation of the gluon propagator, and thus gluon confinement, is demonstrated. Results of the Dyson–Schwinger equations for a finite volume are compared to corresponding lattice data. It is analytically demonstrated that a linear rising potential between heavy quarks can be generated by infrared singularities in the dressed quark-gluon vertex. The selfconsistent mechanism that generates these singularities necessarily entails the scalar Dirac amplitudes of the full vertex and the quark propagator. These can only be present when chiral symmetry is broken, either explicitly or dynamically.

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