On the gauge-invariant operator<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">min</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math>in Euclidean Yang-Mills theories

Capri, M. A. L.; Fiorentini, D.; Guimaraes, M. S.; Mintz, B. W.; Palhares, L. F.; Sorella, S. P.

doi:10.1016/j.nuclphysbps.2016.12.031

Cited by 2 publications

(3 citation statements)

References 60 publications

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“…For a review on the latter see [70], for recent progress within a BRST-invariant formulation see e.g. [71][72][73][74][75][76].…”

Section: E Confinementmentioning

confidence: 99%

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

Pawlowski¹,

Schneider²,

Wink³

2022

Preprint

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We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled systems of functional renormalisation group for the momentumdependent ghost and gluon propagator, ghost-gluon, and three-and four-gluon vertex dressings. The equations for both, transverse and longitudinal correlation functions are solved self-consistently: all correlation functions are fed back into the loops. Additionally, we also use the Slavnov-Taylor identities for computing the longitudinal correlation functions on the basis of the above results. Then, the gauge consistency of the solutions is checked by comparing the respective longitudinal correlation functions. We find good agreement of these results, hinting at the gauge consistency of our setup.

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“…For a review on the latter see [70], for recent progress within a BRST-invariant formulation see e.g. [71][72][73][74][75][76].…”

Section: E Confinementmentioning

confidence: 99%

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

Pawlowski¹,

Schneider²,

Wink³

2022

Preprint

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“…where ξ a ≡ π a 0 m 2 . If we identify ξ a as a Stueckelberg field [40,41], then the expression (47) is the same as the obtained in [38,39], in which they have considered a field h = e igξ a S a (with S a being the generators of the gauge group SU(N)) acting on A a µ , in order to obtain an action put in a local form.…”

Section: Massive Su (N ) Yang-mills Modelmentioning

confidence: 99%

“…In fact, the issue of the gauge invariance for non-Abelian vector fields has been addressed in [36] where the dressing functions written in trems of infinite sum of non-local terms are used to define invariant quantities. Here we can mention that, for the non-Abelian Stückelberg mechanism with mass term, the invariance requeriment implies a non-polynomial action [37][38][39]. Therefore, it is natural to be expected that, unlike the Abelian cases, Yang-Mills models, whose gauge transformations depend on the covariant derivative, will generate invariant variables without truncations in the power series.…”

Section: Introductionmentioning

confidence: 99%

Restoring the gauge invariance in non-Abelian second-class theories

F.¹,

Costa²,

Fiorentini³

et al. 2022

Preprint

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In this paper, we propose a generalization of an improved gauge unfixing formalism in order to generate gauge symmetries in the non-Abelian valued systems. This generalization displays a proper and formal reformulation of second-class systems within the phase space itself. We then present our formalism in a manifestly gauge invariant resolution of the SU (N ) massive Yang-Mills and SU (2) Skyrme models where gauge invariant variables are derived allowing then the achievement of Dirac brackets, gauge invariant Hamiltonians and first-class Lagrangians.

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On the gauge-invariant operatorAmin2in Euclidean Yang-Mills theories

Cited by 2 publications

References 60 publications

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

On Gauge Consistency In Gauge-Fixed Yang-Mills Theory

Restoring the gauge invariance in non-Abelian second-class theories

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