From propagators to glueballs in the Gribov-Zwanziger framework

Vandersickel, Nele; Dudal, David; Oliveira, Orlando; Sorella, S. P.

doi:10.1063/1.3574961

Cited by 61 publications

(154 citation statements)

References 17 publications

Supporting

Mentioning

152

Contrasting

Unclassified

Order By: Relevance

“…The curve obtained is shown in the left panel of Fig. 5; it 9 In earlier works, Y (k) was determined either by setting Γ µαβ (q, r, p) = Γ (0) µαβ (q, r, p) [66,67], or by using the first relation in Eq. (3.11), where the functional form of C 3 (s), denoted by f (s) in [111], is given by Eq.…”

Section: The Main Ingredients Of the Numerical Analysismentioning

confidence: 97%

“…The nonperturbative aspects of the gluon propagator, both in pure Yang-Mills theory and in QCD, are believed to be relevant for our understanding of a wide range of important physical phenomena, such as the dynamical generation of a mass gap, confinement, chiral symmetry breaking, and the formation of bound states such as mesons, baryons, glueballs, hybrids, and exotics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. A particularly interesting feature of the gluon propagator, which manifests itself both in the Landau gauge and away from it, is the saturation of its scalar form factor, ∆(q 2 ), in the deep infrared, i.e., ∆(0) = c > 0.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Gluon mass scale through nonlinearities and vertex interplay

et al. 2019

View full text Add to dashboard Cite

We present a novel analysis of the gluon gap equation, where its full nonlinear structure is duly taken into account. In particular, while in previous treatments the linearization of this homogeneous integral equation introduced an indeterminacy in the scale of the corresponding mass, the current approach determines it uniquely, once the value of the gauge coupling at a given renormalization point is used as input. A crucial ingredient for this construction is the "kinetic term" of the gluon propagator, whose form is not obtained from the complicated equation governing its evolution, but is rather approximated by suitable initial Ansätze, which are subsequently improved by means of a systematic iterative procedure. The multiplicative renormalization of the central equation is carried out following an approximate method, which is extensively employed in the studies of the standard quark gap equation. This approach amounts to the effective substitution of the vertex renormalization constants by kinematically simplified form factors of the three-and four-gluon vertices. The resulting numerical interplay, exemplified by the infrared suppression of the three-gluon vertex and the mild enhancement of the four-gluon vertex, is instrumental for obtaining positive-definite and monotonically decreasing running gluon masses. The resulting gluon propagators, put together from the gluon masses and kinetic terms obtained with this method, match rather accurately the data obtained from large-volume lattice simulations.

show abstract

Section: The Main Ingredients Of the Numerical Analysismentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Gluon mass scale through nonlinearities and vertex interplay

et al. 2019

View full text Add to dashboard Cite

show abstract

“…In particular, whether the differences between fundamental matter, associated with the Wilson confinement criterion, and adjoint matter, which is always affected by string-breaking, should be visible [1]. At various times, this has been associated with anything from non-trivial analytic structures to various types of singularities, both of propagators and vertices, see [2][3][4][5][6][7][8][9] for reviews.…”

Section: Introductionmentioning

confidence: 99%

Quenched SU(2) scalar-gluon vertex in minimal Landau gauge

Maas

2019

Phys. Rev. D

View full text Add to dashboard Cite

The question of whether confining effects are visible in correlation functions is a long-standing one. Complementing investigations on the propagators of fundamental and adjoint scalar matter particles here the quenched scalar-gluon vertex is investigated. For this purpose a multitude of lattice setups in two, three, and four dimensions is analyzed in quenched SU(2) lattice gauge theory. Though both cases are quantitatively different, neither a qualitative difference nor any singularities are observed.

show abstract

“…The existence of such spurious configurations known as Gribov copies is the so-called Gribov problem. For a pedagogical review of this subject, we refer to [27][28][29][30]. Let us emphasize that the previous argument is restricted to Gribov copies generated by infinitesimal gauge transformations.…”

Section: The Gribov Problem In the Landau Gaugementioning

confidence: 99%

A non-perturbative study of matter field propagators in Euclidean Yang–Mills theory in linear covariant, Curci–Ferrari and maximal Abelian gauges

et al. 2017

View full text Add to dashboard Cite

In this work, we study the propagators of matter fields within the framework of the refined GribovZwanziger theory, which takes into account the effects of the Gribov copies in the gauge-fixing quantization procedure of Yang-Mills theory. In full analogy with the pure gluon sector of the refined Gribov-Zwanziger action, a non-local long-range term in the inverse of the FaddeevPopov operator is added in the matter sector.

show abstract

From propagators to glueballs in the Gribov-Zwanziger framework

Cited by 61 publications

References 17 publications

Gluon mass scale through nonlinearities and vertex interplay

Gluon mass scale through nonlinearities and vertex interplay

Quenched SU(2) scalar-gluon vertex in minimal Landau gauge

A non-perturbative study of matter field propagators in Euclidean Yang–Mills theory in linear covariant, Curci–Ferrari and maximal Abelian gauges

Contact Info

Product

Resources

About