Landau background gauge fixing and the IR properties of Yang-Mills Green functions

Grassi, Pietro Antonio; Hurth, Tobias; Quadri, Andrea

doi:10.1103/physrevd.70.105014

Cited by 67 publications

(97 citation statements)

References 58 publications

(38 reference statements)

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“…While the former equation has been known since a long time, the latter has been derived up to now only in the background Landau gauge [31]. However, once the sources required to establish the ST and the antiST identities are introduced, it can be readily seen that there is nothing special in the Landau gauge choice and one can indeed construct a local antighost equation valid for a general R ξ -gauge.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, the last equation above represents the generalization to any ξ of the corresponding well-known identity in the Landau gauge [31,42,43]; once evaluated at zero momenta, this relation yields the deformation of the Kugo-Ojima confinement criterion [44] in R ξ gauges.…”

Section: A Two-point Ghost Sectormentioning

confidence: 99%

“…established in the background Landau gauge in [31] and believed to be valid only for that specific gauge-fixing choice.…”

Section: Local Antighost Equationmentioning

confidence: 99%

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Anti-BRST symmetry and background field method

Binosi¹,

Quadri²

2013

Phys. Rev. D

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We show that the requirement that a SU(N) Yang-Mills action (gauge fixed in a linear covariant gauge) is invariant under both the Becchi-Rouet-Stora-Tyutin (BRST) symmetry as well as the corresponding antiBRST symmetry, automatically implies that the theory is quantized in the (linear covariant) background field method (BFM) gauge. Thus, the BFM and its associated background Ward identity naturally emerge from antiBRST invariance of the theory and need not be introduced as an ad hoc gauge fixing procedure. Treating ghosts and antighosts on an equal footing, as required by a BRST-antiBRST invariant formulation of the theory, gives also rise to a local antighost equation that together with the local ghost equation completely resolve the algebraic structure of the ghost sector for any value of the gauge fixing parameter. We finally prove that the background fields are stationary points of the background effective action obtained when the quantum fields are integrated out.

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Section: Introductionmentioning

confidence: 99%

Section: A Two-point Ghost Sectormentioning

confidence: 99%

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Anti-BRST symmetry and background field method

Binosi¹,

Quadri²

2013

Phys. Rev. D

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“…In the background Landau gauge a further identity holds, the antighost equation [29]. However we will not make use of it in the present construction since it cannot be generalized to different Lorentz-covariant gauges.…”

Section: Slavnov Taylor IImentioning

confidence: 99%

Massive Yang-Mills theory based on the nonlinearly realized gauge group

2008

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We propose a subtraction scheme for a massive Yang-Mills theory realized via a nonlinear representation of the gauge group (here SU(2)). It is based on the subtraction of the poles in D − 4 of the amplitudes, in dimensional regularization, after a suitable normalization has been performed. Perturbation theory is in the number of loops and the procedure is stable under iterative subtraction of the poles. The unphysical Goldstone bosons, the Faddeev-Popov ghosts and the unphysical mode of the gauge field are expected to cancel out in the unitarity equation. The spontaneous symmetry breaking parameter is not a physical variable. We use the tools already tested in the nonlinear sigma model: hierarchy in the number of Goldstone boson legs and weak power-counting property (finite number of independent divergent amplitudes at each order). It is intriguing that the model is naturally based on the symmetry SU (2) L local ⊗ SU (2) R global. By construction the physical amplitudes depend on the mass and on the self-coupling constant of the gauge particle and moreover on the scale parameter of the radiative corrections. The Feynman rules are in the Landau gauge.

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“…q 2 Notice that in the Landau gauge, an important exact (all-order) relation exists, linking G(q 2 ) and L(q 2 ) to the ghost dressing function F(q 2 ), namely [16,17] …”

Section: Pos(qcd-tnt-ii)006mentioning

confidence: 99%

The dynamical equation of the effective gluon mass

Binosi¹

2012

Proceedings of International Workshop on QCD Green's Functions, Confinement and Phenomenology — PoS(QCD-TNT-II)

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The gauge-invariant generation of a dynamical, momentum-dependent gluon mass is intimately connected with the presence of non-perturbative massless poles in the vertices of the theory, which trigger the well-known Schwinger mechanism. In the deep infrared the integral equation that governs this effective gluon mass assumes a particularly simple form, which may be derived following two seemingly different, but ultimately equivalent procedures. In particular, it may be obtained either as a deviation from a special identity that enforces the masslessness of the gluon in the absence of massless poles, or as a direct consequence of the appearance of a non-vanishing bound-state wave function, associated with the details of the actual formation of these massless poles. In this presentation we demonstrate that, due to profound relations between the various ingredients, the two versions of the gluon mass equation are in fact absolutely identical.

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Landau background gauge fixing and the IR properties of Yang-Mills Green functions

Cited by 67 publications

References 58 publications

Anti-BRST symmetry and background field method

Anti-BRST symmetry and background field method

Massive Yang-Mills theory based on the nonlinearly realized gauge group

The dynamical equation of the effective gluon mass

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