Aspects of the Gribov-Zwanziger framework

  title={Aspects of the Gribov-Zwanziger framework},
  author={David Dudal and Nele Vandersickel and Henri Verschelde and Silvio Paolo Sorella},
  journal={arXiv: High Energy Physics - Theory},
The existence of gauge (Gribov) copies disturbs the usual Faddeev-Popov quantization procedure in the Landau gauge. It is a very hard job to treat these in the continuum, even in a partial manner. A decent way to do so was worked out by Gribov, and later on by Zwanziger. The final point was a renormalizable action (the Gribov-Zwanziger action), implementing the restriction of the path integration to the so-called Gribov region, which is free of a subset of gauge copies, but not of all copies… 

Renormalizability of the linearly broken formulation of the BRST symmetry in the presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories

In previous work by M. A. L. Capri, A. J. Gomez, M. S. Guimaraes, V. E. R. Lemes, S. P. Sorella, and D. G. Tedesco [Phys. Rev. D 82, 105019 (2010)], we have shown that the soft breaking of the

Gluon confinement, i-particles and BRST soft breaking

A few issues on gluon confinement are addressed with the help of a renormalizable gauge model obtained by introducing a replica of the Faddeev–Popov action and a soft breaking of the BRST symmetry.

Aspects of confinement in QCD from lattice simulations

We study confinement in quantum chromodynamics via numerical simulations in the framework of lattice gauge theory. In Landau gauge, the mechanism of confinement is related to the infrared behavior of

Confinement interpretation in a Yang-Mills + Higgs theory when considering Gribov's ambiguity

This work presents concisely the results obtained from the analysis of the two-point function of the gauge field in the SU(2) and SU(2) U(1) gauge theories, in the Landau gauge, coupled to a scalar

Revisiting Gribov’s copies inside the horizon

This work avoids the reducibility problem which hampered the standard construction of van Baal, and is able to build a valid example with spherical symmetry in the presence of a background of a Polyakov instanton in a Euclidian 3D spacetime.

Constructing local composite operators for glueball states from a confining Gribov propagator

The construction of BRST invariant local operators with the quantum numbers of the lightest glueball states, JPC=0++,2++,0−+, is worked out by making use of an Euclidean confining renormalizable

Aspects of the Gribov problem in Euclidean Yang-Mills theories

The content of the present thesis is based on the papers [arXiv:1510.07886 [hep-th]][arXiv:1505.02287 [hep-th]][arXiv:1401.6303 [hep-th]][arXiv:1309.1402 [hep-th]][arXiv:1305.4155

On the non-Abelian extension of the aether term

In this paper we prove that an aether term can be generated from radiative corrections of the (non-minimal) coupling between the gauge and the matter fields, in a Lorentz-breaking extended Yang-Mills

Predicting Planck scale and Newtonian constant from a Yang-Mills gauge theory: 1 and 2-loops estimates

Recently, a model for an emergent gravity based on $SO(5)$ Yang-Mills action in Euclidian 4-dimensional spacetime was proposed. In this work we provide some 1 and 2-loops computations and show that



The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory

We have found a nilpotent quantum symmetry of Yang-Mills theory restricted to the Gribov region. In fact, we give a set of transformations for the filds a la BRST that leaves the Gribov-Zwanziger

Indirect determination of the Kugo-Ojima function from lattice data

We study the structure and non-perturbative properties of a special Green's function, u(q2), whose infrared behavior has traditionally served as the standard criterion for the realization of the

A candidate for the scalar glueball operator within the Gribov-Zwanziger framework

This proceeding gives an overview of the renormalization of $F^2_{\mu\nu}$ using the Faddeev-Popov action and the more complicate Gribov-Zwanziger action, which deals with Gribov copies. We show that

Infrared exponents and the strong-coupling limit in lattice Landau gauge

We study the gluon and ghost propagators of lattice Landau gauge in the strong-coupling limit β=0 in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behavior of these

The one loop $$ \overline {\text{MS}} $$ static potential in the Gribov-Zwanziger lagrangian

We compute the static potential in the Gribov-Zwanziger Lagrangian as a function of the Gribov mass, γ, in the $$ \overline {\text{MS}} $$ scheme in the Landau gauge at one loop. The usual gauge

The Universal Renormalization Factors Z_1/Z_3 and Color Confinement Condition in Non-Abelian Gauge Theory

The ratio Z_1/Z_3 of vertex and wave-function renormalization factors, which is universal (i.e., matter-independent), is shown to equal 1+u which gives the residue of the scalar pole $\propto p_\mu

How Many Degrees of Freedom Has the Gluon

In constituent models, glueballs are described as bound states of effective gluons. The dynamical mass generation lead to a gluon mass without violating gauge invariance. One can then consider three

Introduction to the Gribov Ambiguities In Euclidean Yang-Mills Theories

An elementary introduction to the Gribov ambiguities and their consequences on the infrared behavior of Euclidean Yang-Mills theories is presented.