scholarly journals Discretization effects on renormalized gauge-field Green’s functions, scale setting, and the gluon mass

2018 ◽  
Vol 98 (11) ◽  
Author(s):  
Ph. Boucaud ◽  
F. De Soto ◽  
K. Raya ◽  
J. Rodríguez-Quintero ◽  
S. Zafeiropoulos
Keyword(s):  
Gauge Field ◽  
Green's Functions ◽  
Green’S Functions ◽  
Gluon Mass

Effective Locality QCD calculations and the Gribov copy problem

2020 ◽  
Vol 35 (27) ◽  
pp. 2050230 ◽  
Author(s):  
T. Grandou ◽  
R. Hofmann
Keyword(s):  
Gauge Field ◽  
Strong Coupling ◽  
Degrees Of Freedom ◽  
Green's Functions ◽  
Green’S Functions ◽  
Strong Coupling Limit ◽  
Unexpected Result ◽  
Remarkable Property ◽  
Gauge Invariant

Standard functional manipulations have been proven to imply a remarkable property satisfied by the fermionic Green’s functions of QCD and dubbed effective locality. Resulting from a full gauge invariant summation of the gauge field degrees of freedom, effective locality is a non-perturbative property of QCD. This unexpected result has lead to suspect that the famous Gribov copy problem had been somewhat overlooked. It is argued that it is not so. The analysis is conducted in the strong coupling limit, relevant to the Gribov problem.

Green's functions in an exterior gauge field

1987 ◽  
Vol 30 (9) ◽  
pp. 780-783
Author(s):  
V. P. Barashev ◽  
I. M. Likhttsier ◽  
Sh. M. Shvartsman
Keyword(s):  
Gauge Field ◽  
Green's Functions ◽  
Green’S Functions

Generating functionals for Green's functions in gauge field theories

1987 ◽  
Vol 70 (3) ◽  
pp. 278-285 ◽  
Author(s):  
M. Bordag ◽  
L. Kaschlun ◽  
V. A. Matveev ◽  
D. Robaschik
Keyword(s):  
Gauge Field ◽  
Green's Functions ◽  
Green’S Functions ◽  
Gauge Field Theories ◽  
Field Theories

A study of the path-integral quantization of Abelian gauge theories when no explicit gauge-fixing term is included in the bilinear part of the gauge-field action

1985 ◽  
Vol 63 (10) ◽  
pp. 1334-1336
Author(s):  
Stephen Phillips
Keyword(s):  
Gauge Field ◽  
Path Integral ◽  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
Abelian Gauge ◽  
Gaussian Form ◽  
Path Integral Quantization ◽  
Field Action ◽  
Gauge Fixing

The mathematical problem of inverting the operator [Formula: see text] as it arises in the path-integral quantization of an Abelian gauge theory, such as quantum electrodynamics, when no gauge-fixing Lagrangian field density is included, is studied in this article.Making use of the fact that the Schwinger source functions, which are introduced for the purpose of generating Green's functions, are free of divergence, a result that follows from the conversion of the exponentiated action into a Gaussian form, the apparently noninvertible partial differential equation, [Formula: see text], can, by the addition and subsequent subtraction of terms containing the divergence of the source function, be cast into a form that does possess a Green's function solution. The gauge-field propagator is the same as that obtained by the conventional technique, which involves gauge fixing when the gauge parameter, α, is set equal to one.Such an analysis suggests also that, provided the effect of fictitious particles that propagate only in closed loops are included for the study of Green's functions in non-Abelian gauge theories in Landau-type gauges, then, in quantizing either Abelian gauge theories or non-Abelian gauge theories in this generic kind of gauge, it is not necessary to add an explicit gauge-fixing term to the bilinear part of the gauge-field action.

Coordinate - Independent Green's Functions for the Chiral - Invariant Pion Model

1973 ◽  
Vol 28 (3-4) ◽  
pp. 386-393 ◽  
Author(s):  
K. Meetz
Keyword(s):  
Gauge Field ◽  
Green's Functions ◽  
Green’S Functions ◽  
Auxiliary Variables ◽  
Field Equations ◽  
Feynman Graphs

AbstractA coordinate-independent formulation of the chiral-symmetric pion theory is developed using a dreibein field which introduces a redundant gauge field into the field equations. There is a particular gauge, where the field variables transform linearly under chiral transformations and the field equations reduce to those of the Sugawara-model. Quantization of Sugawara's field equations is obtained in terms of Green's functions. The field equations for the coordinate-independent Green's functions are translated into equations for coordinate Green's functions by introduction of the coordinates as auxiliary variables. The latter field equations incorporate the additional Feynman graphs discovered before.

Sign in / Sign up

Export Citation Format

Share Document