We investigate a dynamical mass generation mechanism for the off-diagonal gluons and ghosts in $\mathrm{S}\mathrm{U}(N)$ Yang-Mills theories, quantized maximal Abelian gauge. Such can be seen as evidence dominance that It originates from condensation of mixed gluon-ghost operator dimension two, which lowers vacuum energy. construct an effective potential this by combined use local composite operators technique with algebraic renormalization we discuss gauge parameter independence results....

We show that the soft breaking of Becchi, Rouet, Stora, and Tyutin (BRST) symmetry arising in Gribov-Zwanziger theory can be converted into a linear upon introduction set BRST quartets auxiliary fields. Because its compatibility with quantum action principle, linearly broken directly suitable useful Slavnov-Taylor identities. As consequence, it turns out renormalization aspects addressed by means cohomology nilpotent local operator.

The nonlocal mass operator $Tr \int d^4x F_{μν} (D^2)^{-1} F_{μν}$ is considered in Yang-Mills theories Euclidean space-time. It shown that the can be cast local form through introduction of a set additional fields. A and polynomial action thus identified. Its multiplicative renormalizability proven by means algebraic renormalization class linear covariant gauges. anomalous dimensions fields are computed at one loop order. few remarks on possible role this for issue gauge invariance...

The infrared behavior of the gluon and ghost propagators is studied in $SU(2)$ Euclidean Yang-Mills theory maximal Abelian gauge within Gribov-Zwanziger framework. nonperturbative effects associated with Gribov copies dimension-two condensates are simultaneously encoded into a local renormalizable Lagrangian. resulting turns out to be good agreement lattice data.

A BRST perturbative analysis of SU(N) Yang-Mills theory in a class maximal Abelian gauges is presented. We point out the existence new nonintegrated renormalizable Ward identity which allows to control dependence from diagonal ghosts. This identity, called ghost equation, plays crucial role for stability model under radiative corrections implying, particular, vanishing anomalous dimension Moreover, corresponding Cartan subgroup easily derived equation. Finally, simple proof fact that beta...

The effects of the Gribov copies on gluon and ghost propagators are investigated in SU(2) Euclidean Yang-Mills theory quantized maximal Abelian gauge. diagonal component propagator displays characteristic Gribov-type behavior. off-diagonal is found to be Yukawa type, with a dynamical mass originating from dimension two condensate $⟨{A}_{\ensuremath{\mu}}^{a}{A}_{\ensuremath{\mu}}^{a}⟩$, which also taken into account. Finally, exhibits infrared enhancement.

We pursue the study of $SU(2)$ Euclidean Yang-Mills theory in maximal Abelian gauge by taking into account effects Gribov horizon. The approximation, previously introduced [M. A. L. Capri, V. E. R. Lemes, F. Sobreiro, S. P. Sorella, and Thibes, Phys. Rev. D 72, 085021 (2005).], is improved through introduction horizon function, which constructed under requirements localizability renormalizability. By following Zwanziger's treatment function Landau gauge, we prove that, when cast local form,...

The properties of the Gribov region in $SU(2)$ Euclidean Yang-Mills theories maximal Abelian gauge are investigated. This turns out to be bounded all off-diagonal directions, while it is unbounded along diagonal one. soft breaking Becchi-Rouet-Stora-Tyutin invariance due restriction domain integration path integral scrutinized. Owing unboundedness direction, with respect transformations preserved, a property which at origin local $U(1)$ Ward identity gauge.

In this paper we address the issue of Gribov copies in SU(N), N > 2, Euclidean Yang–Mills theories quantized maximal Abelian gauge. A few properties region gauge are established. Similar to case SU(2), turns out be convex, bounded along off-diagonal directions field space, and unbounded diagonal ones. The implementation restriction functional integral is discussed through introduction horizon function, whose construction will outlined detail. influence on behavior gluon ghost propagators...

The local composite gluon-ghost operator $({1/2}A^{aμ}A_μ^{a}+α\bar{c}^{a}c^{a})$ is analysed in the framework of algebraic renormalization SU(N) Yang-Mills theories Landau, Curci-Ferrari and maximal abelian gauges. We show, to all orders perturbation theory, that this multiplicatively renormalizable. Furthermore, its anomalous dimension not an independent parameter being given by a general expression valid these also verify relations we obtain for dimensions explicit 3-loop calculations...

On the SL(2, ℝ) symmetry in Yang-Mills Theories Landau, Curci-Ferrari and Maximal Abelian Gauge, David Dudal, Henri Verschelde, Vitor Emanuel Rodino Lemes, Marcelo S. Sarandy, Silvio Paolo Sorella, Marco Picariello

We investigate the quantum effects of nonlocal gauge invariant operator $\frac{1}{{}{D}^{2}}{F}_{\mu \nu}\ast \frac{1}{{}{D}^{2}}{F}^{\mu \nu}$ in noncommutative U(1) action and its consequences to infrared sector theory. Nonlocal operators such kind were proposed solve problem theories evading questions on explicit breaking Lorentz invariance. More recently, a first step localization this was accomplished by means introduction an extra tensorial matter field, loop analysis carried out...

In previous work arXiv:1009.4135 we have shown that the soft breaking of BRST symmetry arising within Gribov-Zwanziger framework can be converted into a linear breaking, while preserving nilpotency operator. Due to its compatibility with Quantum Action Principle, linearly broken directly translates set Slavnov-Taylor identities. We show these identities guarantee multiplicative renormalizability both and Refined theories all orders. The known property only two renormalization factors are...

We continue the study of a local, gauge invariant Yang-Mills action containing mass parameter, which we constructed in previous paper starting from nonlocal dimension two operator F_{μν} (D^2)^{-1} F_{μν}. return briefly to renormalizability model, can be proven all orders perturbation theory by embedding it more general model with larger symmetry content. point out existence nilpotent BRST symmetry. Although our contains extra (anti)commuting tensor fields and coupling constants, prove that...

The effects of the Gribov copies on gluon and ghost propagators are investigated in SU(2) Euclidean Yang-Mills theory quantized maximal Abelian gauge. By following Gribov's original approach, extended to gauge, we able show that diagonal component propagator displays characteristic type behavior. off-diagonal is found be Yukawa type, with a dynamical mass originating from dimension two condensate, which also taken into account. Furthermore, exhibits infrared enhancement. Finally, make...

Ghost condensates of dimension two are analyzed in a class nonlinear gauges pure Yang–Mills theories. These related to the breaking SL (2, R) symmetry, present these gauges.

Three-dimensional Yang-Mills gauge theories in the presence of Chern-Simons action are seen as being generated by pure topological term through nonlinear covariant redefinitions field.