New start for local composite operators

Knecht, Kenny; Verschelde, Henri

doi:10.1103/physrevd.64.085006

Cited by 32 publications

(62 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Following [3,12,20,25], we introduce a Hubbard-Stratonovich field σ by means of the following unity 9) to remove the term proportional to τ 2 . The source τ is henceforth linearly coupled to the field σ, as can be directly seen from the action, which now reads…”

Section: Introductionmentioning

confidence: 99%

Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge

et al. 2005

Self Cite

View full text Add to dashboard Cite

The local composite operator A 2 µ is added to the Zwanziger action, which implements the restriction to the Gribov region Ω in Euclidean Yang-Mills theories in the Landau gauge. We prove that Zwanziger's action with the inclusion of the operator A 2 µ is renormalizable to all orders of perturbation theory, obeying the renormalization group equations. This allows to study the dimension two gluon condensate A 2 µ by the local composite operator formalism when the restriction to the Gribov region Ω is taken into account. The resulting effective action is evaluated at one-loop order in the MS scheme. We obtain explicit values for the Gribov parameter and for the mass parameter due to A 2 µ , but the expansion parameter turns out to be rather large. Furthermore, an optimization of the perturbative expansion in order to reduce the dependence on the renormalization scheme is performed. The properties of the vacuum energy, with or without the inclusion of the condensate A 2 µ , are investigated. In particular, it is shown that in the original Gribov-Zwanziger formulation, i.e. without the inclusion of the operator A 2 µ , the resulting vacuum energy is always positive at oneloop order, independently from the choice of the renormalization scheme and scale. In the presence of A 2 µ , we are unable to come to a definite conclusion at the order considered. In the MS scheme, we still find a positive vacuum energy, again with a relatively large expansion parameter, but there are renormalization schemes in which the vacuum energy is negative, albeit the dependence on the scheme itself appears to be strong. Concerning the behaviour of the gluon and ghost propagators, we recover the well known consequences of the restriction to the Gribov region, and this in the presence of A 2 µ , i.e. an infrared suppression of the gluon propagator and an enhancement of the ghost propagator. Such a behaviour is in qualitative agreement with the results obtained from the studies of the Schwinger-Dyson equations and from lattice simulations.

show abstract

Section: Introductionmentioning

confidence: 99%

Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge

et al. 2005

Self Cite

View full text Add to dashboard Cite

show abstract

“…Although in this gauge there is no quartic ghost interaction, these condensates can be studied by means of the LCO technique, as improved by [10,11]. In particular, by combining the LCO technique with the BRST algebraic renormalization [29], we shall be able to obtain the effective potential for cc and cc .…”

Section: Introductionmentioning

confidence: 99%

“…It plays a pivotal role in order to account for the discrepancy recently observed between the expected behavior of perturbation theory and the lattice results of the two and three point functions in the Landau gauge [7,8]. An effective potential for this condensate has been obtained in [9] by using the local composite operators (LCO) technique [10,11]. This result shows that the vacuum of pure Yang-Mills theory favors a nonvanishing value of this condensate, which gives rise to a mass term for the gluons while contributing to the dimension four condensate αF 2 through the trace anomaly.…”

Section: Introductionmentioning

confidence: 99%

Ghost condensates in Yang–Mills theories in the Landau gauge

2003

View full text Add to dashboard Cite

show abstract

“…In this sense, to ruin the copies equation in a minimal way, we could add only (16) to the original action and it will generate a theory free from infinitesimal copies. It this case, the extra terms can be included by the LCO technique, in the usual way [25][26][27][28][29]. On the other hand, once γ is at our disposal, the extra soft terms in (14) are allowed by power counting.…”

Section: A Brief Review Of the Methodsmentioning

confidence: 99%

Gribov ambiguities at the Landau-maximal Abelian interpolating gauge

Pereira

Sobreiro

2014

Eur. Phys. J. C

View full text Add to dashboard Cite

In a previous work, we presented a new method to account for the Gribov ambiguities in non-Abelian gauge theories. The method consists on the introduction of an extra constraint which directly eliminates the infinitesimal Gribov copies without the usual geometric approach. Such strategy allows one to treat gauges with non-hermitian FaddeevPopov operator. In this work, we apply this method to a gauge which interpolates among the Landau and maximal Abelian gauges. The result is a local and power counting renormalizable action, free of infinitesimal Gribov copies. Moreover, the interpolating tree-level gluon propagator is derived.

show abstract

New start for local composite operators

Cited by 32 publications

References 13 publications

Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge

Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge

Ghost condensates in Yang–Mills theories in the Landau gauge

Gribov ambiguities at the Landau-maximal Abelian interpolating gauge

Contact Info

Product

Resources

About