Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes

Boucaud, Ph.; Soto, F. De; Zafeiropoulos, Savvas; Rodríguez-Quintero, J.

doi:10.1103/physrevd.95.114503

Cited by 73 publications

(118 citation statements)

References 95 publications

(125 reference statements)

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“…At zero temperature, the three-gluon vertex shows a zero crossing in four as well as in three dimensions [2,6,46,49,[51][52][53]59,[132][133][134][135]. Analytical studies show that it is caused by the divergent ghost triangle diagram.…”

Section: Three-gluon Vertex and Its Zero Crossingmentioning

confidence: 96%

Nonperturbative finite-temperature Yang-Mills theory

et al. 2018

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We present nonperturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we compute the magnetic and electric components of the gluon propagator, and the three-and four-gluon vertices. We also show the ghost propagator and the ghost-gluon vertex at finite temperature. Our results for the propagators are confronted with lattice simulations and our Debye mass is compared to hard thermal loop perturbation theory.

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Section: Three-gluon Vertex and Its Zero Crossingmentioning

confidence: 96%

Nonperturbative finite-temperature Yang-Mills theory

et al. 2018

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“…Finally, details on the Landau gauge computation of the gauge fields, and the correlation functions defined in Eqs. (2.1) and (2.3), may be found in [35,69]. In addition, the treatment of the O(4)-breaking artifacts has been carried out as described in [56,[70][71][72].…”

Section: B the Lattice Observablesmentioning

confidence: 99%

Gluon propagator and three-gluon vertex with dynamical quarks

et al. 2020

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We present a detailed analysis of the kinetic and mass terms associated with the Landau gauge gluon propagator in the presence of dynamical quarks, and a comprehensive dynamical study of certain special kinematic limits of the three-gluon vertex. Our approach capitalizes on results from recent lattice simulations with (2+1) domain wall fermions, a novel nonlinear treatment of the gluon mass equation, and the nonperturbative reconstruction of the longitudinal three-gluon vertex from its fundamental Slavnov-Taylor identities. Particular emphasis is placed on the persistence of the suppression displayed by certain combinations of the vertex form factors at intermediate and low momenta, already known from numerous pure Yang-Mills studies. One of our central findings is that the inclusion of dynamical quarks moderates the intensity of this phenomenon only mildly, leaving the asymptotic low-momentum behavior unaltered, but displaces the characteristic "zero crossing" deeper into the infrared region. In addition, the effect of the three-gluon vertex is explored at the level of the renormalization-group invariant combination corresponding to the effective gauge coupling, whose size is considerably reduced with respect to its counterpart obtained from the ghost-gluon vertex. The main upshot of the above considerations is the further confirmation of the tightly interwoven dynamics between the two-and three-point sectors of QCD.

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“…More specifically, in the case of the three-gluon vertex, the left panel of Fig. 6 shows a compilation of the lattice data of this form factor in the symmetric configuration (defined as q 2 = p 2 = r 2 and q · p = q · r = p · r = −q 2 /2, e.g., with a 2π/3 angle between each pair of momenta) [72,73], properly normalized by dividing out the coupling [g = 2 at μ = 4.3 GeV for the data set at hand, corresponding to α s = 0.32]. Notice, in particular, the suppression of the vertex with respect to its tree-level value, as well as the sign reversal (the so-called "zero crossing") at small momenta, followed by a (logarithmic) divergence at the origin.…”

Section: Numerical Analysismentioning

confidence: 99%

Evidence of ghost suppression in gluon mass scale dynamics

et al. 2018

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In this work we study the impact that the ghost sector of pure Yang-Mills theories may have on the generation of a dynamical gauge boson mass scale, which hinges on the appearance of massless poles in the fundamental vertices of the theory, and the subsequent realization of the well-known Schwinger mechanism. The process responsible for the formation of such structures is itself dynamical in nature, and is governed by a set of Bethe-Salpeter type of integral equations. While in previous studies the presence of massless poles was assumed to be exclusively associated with the background-gauge three-gluon vertex, in the present analysis we allow them to appear also in the corresponding ghost-gluon vertex. The full analysis of the resulting Bethe-Salpeter system reveals that the contribution of the poles associated with the ghost-gluon vertex are particularly suppressed, their sole discernible effect being a slight modification in the running of the gluon mass scale, for momenta larger than a few GeV. In addition, we examine the behavior of the (background-gauge) ghost-gluon vertex in the limit of vanishing ghost momentum, and derive the corresponding version of Taylor's theorem. These considerations, together with a suitable Ansatz, permit us the full reconstruction of the pole sector of the two vertices involved.

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Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes

Cited by 73 publications

References 95 publications

Nonperturbative finite-temperature Yang-Mills theory

Nonperturbative finite-temperature Yang-Mills theory

Gluon propagator and three-gluon vertex with dynamical quarks

Evidence of ghost suppression in gluon mass scale dynamics

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