Toward background field independence within the Gribov horizon

IF Justo, AD Pereira, RF Sobreiro - Physical Review D, 2022 - APS
We introduce a background gauge akin to the Landau-DeWitt gauge but deformed by the
presence of a gauge parameter for the quantization of Euclidean Yang-Mills theories. In the …

Polyakov loop, gluon mass, gluon condensate, and its asymmetry near deconfinement

D Dudal, DM van Egmond, U Reinosa, D Vercauteren - Physical Review D, 2022 - APS
We consider a BRST-invariant generalization of the “massive background Landau gauge,”
resembling the original Curci-Ferrari model that saw a revived interest due to its …

The BRST-invariant vacuum state of the Gribov–Zwanziger theory

D Dudal, CP Felix, LF Palhares, F Rondeau… - The European Physical …, 2019 - Springer
We revisit the effective action of the Gribov–Zwanziger theory, taking into due account the
BRST symmetry and renormalization (group invariance) of the construction. We compute at …

Gribov-Zwanziger type model action invariant under background gauge transformations

D Kroff, U Reinosa - Physical Review D, 2018 - APS
We propose a Gribov-Zwanziger type model action for the Landau-DeWitt gauge that
preserves, for any gauge group, the invariance under background gauge transformations. At …

[HTML][HTML] Gauge copies in the Landau–DeWitt gauge: A background invariant restriction

D Dudal, D Vercauteren - Physics Letters B, 2018 - Elsevier
The Landau background gauge, also known as the Landau–DeWitt gauge, has found
renewed interest during the past decade given its usefulness in accessing the confinement …

Accessing the topological susceptibility via the Gribov horizon

D Dudal, CP Felix, MS Guimaraes, SP Sorella - Physical Review D, 2017 - APS
The topological susceptibility, χ 4, following the work of Witten and Veneziano, plays a key
role in identifying the relative magnitude of the η′ mass, the so-called U (1) A problem. A …

Composite and background fields in non-abelian gauge models

PY Moshin, AA Reshetnyak - Symmetry, 2020 - mdpi.com
A joint introduction of composite and background fields into non-Abelian quantum gauge
theories is suggested based on the symmetries of the generating functional of Green's …

Non-abelian gauge theories with composite fields in the background field method

PY Moshin, AA Reshetnyak, RA Castro - Universe, 2022 - mdpi.com
Non-Abelian gauge theories with composite fields are examined in the background field
method. Generating functionals of Green's functions for a Yang–Mills theory with composite …

Gauge copies and the fate of background independence in Yang-Mills theories: A leading order analysis

OC Junqueira, IF Justo, DS Montes, AD Pereira… - Physical Review D, 2020 - APS
In this work we investigate the effects of the Gribov prescription to get rid of zero-modes of
the Faddeev-Popov operator at a one-loop order in perturbation theory in the Landau-DeWitt …

[HTML][HTML] Equivalence between the gauge n⋅∂ n⋅ A= 0 and the axial gauge

GL Zhou, ZX Yan, X Zhang - Nuclear Physics B, 2022 - Elsevier
Singularity of the gauge condition n⋅∂ n⋅ A= 0 at n⋅ k= 0 is studied here. Such singularity
is different from that in axial gauge and can not be regularized through analytical …