Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge

Capri, M. A. L.; Fiorentini, D.; Sorella, S. P.

doi:10.1016/j.aop.2015.03.006

Cited by 6 publications

(11 citation statements)

References 52 publications

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“…(11). Using a more general set of sources, this can be proven to all orders of perturbation theory, see for instance [44]. In particular, an important consequence of the proof is the absence of pure vacuum terms in J.…”

Section: Soft Brst Breaking and Emergent Non-perturbative Quark Dynamicsmentioning

confidence: 91%

Confinement and dynamical chiral symmetry breaking in a non-perturbative renormalizable quark model

et al. 2016

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Inspired by the construction of the Gribov-Zwanziger action in the Landau gauge, we introduce a quark model exhibiting both confinement and chiral symmetry aspects. An important feature is the incorporation of spontaneous chiral symmetry breaking in a renormalizable fashion. The quark propagator in the condensed vacuum turns out to be of a confining type. Besides a real pole, it exhibits complex conjugate poles. The resulting spectral form is explicitly shown to violate positivity, indicative of its unphysical character. Moreover, the ensuing quark mass function fits well to existing lattice data. To further validate the physical nature of the model, we identify a massless pseudoscalar (i.e. a pion) in the chiral limit and present estimates for the ρ meson mass and decay constant. * david.dudal@kuleuven-kulak.be † msguimaraes@uerj.br ‡ l.palhares@thphys.uni-heidelberg.de § sorella@uerj.br 1 arXiv:1303.7134v4 [hep-ph] 6 Jan 2016 1. We refer to Section 2 for some more details, next to the existing literature [45].

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Section: Soft Brst Breaking and Emergent Non-perturbative Quark Dynamicsmentioning

confidence: 91%

Confinement and dynamical chiral symmetry breaking in a non-perturbative renormalizable quark model

et al. 2016

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“…As outlined in [14,54,55], in analogy with the Gribov-Zwanziger gauge field horizon function, eq. ( 6), we have provided a rationale for the introduction of an effective generalized horizon matter function, namely…”

Section: The Horizon Function For the Mattermentioning

confidence: 99%

“…Willing thus investigating the procedure of [14,54,55] in a BRST invariant environment for the fermionic field in the linear covariant gauges, we start by considering the following starting action…”

Section: The Horizon Function For the Mattermentioning

confidence: 99%

An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges

Capri,

Sorella,

Terin

2021

Preprint

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We introduce, within the Refined-Gribov-Zwanziger setup, a composite BRST invariant fermionic operator coupled to the inverse of the Faddeev-Popov operator. As a result, an effective BRST invariant action in Euclidean space-time is constructed, enabling us to pave the first step towards the study of the behaviour of the fermion propagator in the infrared region in the class of the linear covariant gauges. The aforementioned action is proven to be renormalizable to all orders by means of the algebraic renormalization procedure.

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“…As discussed in [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23], the GZ action (12) breaks the standard BRST symmetry of the Faddeev-Popov action in a soft way, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, as far as the UV renormalization of the GZ action is concerned, the standard softly broken BRST symmetry turns out to be very helpful. In fact, using the tools of the algebraic renormalization [24], the softly broken identity (16) can be converted into useful Slavnov-Taylor identities which imply the all order UV renormalizability of expression (12), see for example [10,20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

On general ultraviolet properties of a class of confining propagators

et al. 2016

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We study the ultraviolet properties of theories whose fundamental fields display a confining, Gribov-type, propagator. These are propagators that exhibit complex poles and violate positivity, thus precluding a physical propagating particle interpretation. We show that the properties of this type of confining propagators do not change the ultraviolet behavior of the theory, in the sense that no new ultraviolet primitive divergences are generated, thus securing the renormalizability of these confining theories. We illustrate these properties by studying a variety of models, including bosonic and fermionic confined degrees of freedom. The more intricate case of Super Yang-Mills with N = 1 supersymmetries in the Wess-Zumino gauge is taken as example in order to prove these statements to all orders by means of the algebraic renormalization set up. *

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Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge

Cited by 6 publications

References 52 publications

Confinement and dynamical chiral symmetry breaking in a non-perturbative renormalizable quark model

Confinement and dynamical chiral symmetry breaking in a non-perturbative renormalizable quark model

An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges

On general ultraviolet properties of a class of confining propagators

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