Asymmetry of the dimension-two gluon condensate: The zero temperature case

Vercauteren, David; Verschelde, Henri

doi:10.1103/physrevd.80.065017

Cited by 11 publications

(13 citation statements)

References 26 publications

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“…This also implies that the electric-magnetic asymmetry observed [431,432] in dimension-two gluon condensates [433] at finite temperature is driven just by the electric sector [249]. Only the soft electric part is then left.…”

Section: Intermediate Momenta and Temperaturesmentioning

confidence: 88%

Gauge bosons at zero and finite temperature

2013

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Gauge theories of the Yang-Mills type are the single most important building block of the standard model of particle physics and beyond. They are an integral part of the strong and weak interactions, and in their Abelian version of electromagnetism. Since Yang-Mills theories are gauge theories their elementary particles, the gauge bosons, cannot be described without fixing a gauge. Therefore, to obtain their properties a quantized and gauge-fixed setting is necessary.Beyond perturbation theory, gauge-fixing in non-Abelian gauge theories is obstructed by the Gribov-Singer ambiguity, which requires the introduction of non-local constraints. The construction and implementation of a method-independent gauge-fixing prescription to resolve this ambiguity is the single most important first step to describe gauge bosons beyond perturbation theory. Proposals for such a procedure, generalizing the perturbative Landau gauge, are described here. Their implementation are discussed for two example methods, lattice gauge theory and the quantum equations of motion.After gauge-fixing, it is possible to study gauge bosons in detail. The most direct access is provided by their correlation functions. The corresponding two-and three-point correlation functions are presented at all energy scales. These give access to the properties of the gauge bosons, like their absence from the asymptotic physical state space, particle-like properties at high energies, and the running coupling. Furthermore, auxiliary degrees of freedom are introduced during gauge-fixing, and their properties are discussed as well. These results are presented for two, three, and four dimensions, and for various gauge algebras.Finally, the modifications of the properties of gauge bosons at finite temperature are presented. Evidence is provided that these reflect the phase structure of Yang-Mills theory. However, it is found that the phase transition is not deconfining the gauge bosons, although the bulk thermodynamical behavior is of a Stefan-Boltzmann type. The resolution of this apparent contradiction is also presented. In addition, this resolution provides an explicit and constructive solution to the Linde problem.Thus, the technical and conceptual framework presented here can be taken as a basis how to determine correlation functions in Yang-Mills theory, therefore opening up the avenue to investigate theories of direct practical relevance. The status of this effort will be briefly described, alongside with connections to other approaches to Yang-Mills theory beyond perturbation theory.

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Section: Intermediate Momenta and Temperaturesmentioning

confidence: 88%

Gauge bosons at zero and finite temperature

2013

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“…This condensate then made its appearance in a variety of works, see e.g. [22,[62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79]. In the works [49,50], the relation was explored between this condensate and magnetic degrees of freedom, which are generally believed to play an important role for confinement.…”

Section: An Important Asset In the Computation D(pmentioning

confidence: 99%

Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate⟨A2⟩in the Landau gauge

2010

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We consider the gluon propagator D(p 2 ) at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate the tree level analytical prediction in terms of the (Refined) Gribov-Zwanziger framework. It turns out that an important role is played by the presence of the widely studied dimension two gluon condensate A 2 . Including this effect allows to obtain an acceptable fit up to 1á 1.5 GeV, while corroborating the Refined Gribov-Zwanziger prediction for the gluon propagator. We also discuss the infinite volume extrapolation, leading to the estimate D(0) = 8.3 ± 0.5 GeV −2 . As a byproduct, we can also provide the prediction g 2 A 2 ≈ 3 GeV 2 obtained at the renormalization scale µ = 10 GeV.

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“…In [18] the effective action in the presence of a dimension two condensate and of an asymmetry was computed. Since the starting point for the calculations when T 0 are identical, we shortly review the steps taken in [18].…”

Section: Preliminariesmentioning

confidence: 99%

“…In this paper we extend the computations in order to include finite temperature effects, with the aim of shedding more light on the results of [12]. In section II we give a short review of what was found in [18], which is then continued by a computation of the finite temperature effective action in section III. In section IV we find and discuss the minima of the potential, the values of the different condensates and their temperature dependence.…”

Section: Introductionmentioning

confidence: 99%

Asymmetry of the dimension-two gluon condensate: The finite temperature case

Vercauteren

Verschelde

2010

Phys. Rev. D

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A recently proposed phenomenological model, which includes non perturbative effects from dimension two gluon condensates, is applied to analyze the available lattice data for the heavy quark free energy in the deconfined phase of quenched QCD. For large q ¯ q separations we recover previous results for the Polyakov loop, exhibiting unequivocal condensate contributions. For the q ¯ q potential at finite temperature and finite separation we find that a good overall description of the lattice data can be achieved once the condensate is properly accounted for. In addition, the model predicts a duality between the zero temperature potential as a function of the q ¯ q separation, on the one hand, and the quark selfenergy as a function of the temperature, on the other, which turns out to be satisfied to a high degree by the lattice data.

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Asymmetry of the dimension-two gluon condensate: The zero temperature case

Cited by 11 publications

References 26 publications

Gauge bosons at zero and finite temperature

Gauge bosons at zero and finite temperature

Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate⟨A2⟩in the Landau gauge

Asymmetry of the dimension-two gluon condensate: The finite temperature case

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