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A few years ago the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green's functions of QCD: effective locality. This feature of QCD is non-perturbative as it results…

High Energy Physics - Theory · Physics 2017-11-22 Herbert M. Fried , Thierry Grandou , Ralf Hofmann

About ten years ago the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green's functions of QCD and dubbed effective locality. This feature of QCD is non-perturbative as…

High Energy Physics - Theory · Physics 2020-02-18 Thierry Grandou , Ralf Hofmann

A few years ago the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green's functions of QCD, and called effective locality. This feature of QCD is non-perturbative as it…

High Energy Physics - Theory · Physics 2019-10-17 Thierry Grandou , Peter H. Tsang

About twelve years ago the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green's functions of $QCD$. This non-perturbative phenomenon is dubbed Effective Locality. In a…

High Energy Physics - Theory · Physics 2023-03-23 H. M. Fried , Y. Gabellini , T. Grandou

The QCD non-perturbative property of Effective Locality whose essential meaning has been disclosed recently, is here questioned about the chiral symmetry breaking phenomenon, one of the two major issues of the non-perturbative phase of QCD.…

High Energy Physics - Theory · Physics 2019-09-04 Thierry Grandou , Ralf Hofmann , Peter H. Tsang

Following a previous calculation of quark scattering in eikonal approximation, this paper presents a new, analytic and rigorous approach to the calculation of QCD phenomena. In this formulation a basic distinction between the conventional…

High Energy Physics - Phenomenology · Physics 2015-01-20 H. M. Fried , T. Grandou , Y. -M. Sheu

In a recent paper it was shown how quark scattering in a quenched, eikonal model led to a momentum-transfer dependent amplitude expressed in terms of Halpern's functional integral; and how the requirement of manifest gauge invariance…

High Energy Physics - Theory · Physics 2015-05-18 H. M. Fried , M. Gattobigio , T. Grandou , Y. -M. Sheu

I review some key aspects of the ongoing progress in our understanding of the infrared dynamics of the QCD Green's functions, derived from the close synergy between Schwinger-Dyson equations and lattice simulations. Particular attention is…

High Energy Physics - Phenomenology · Physics 2015-09-02 J. Papavassiliou

Using as ingredients the non-perturbative solutions of various QCD Green's function obtained from Schwinger-Dyson equations (SDEs), we study two versions of the QCD effective charge. The first one obtained from the pinch technique gluon…

High Energy Physics - Phenomenology · Physics 2014-11-20 Arlene C. Aguilar

Recent studies of QCD Green's functions and their applications in hadronic physics are reviewed. We briefly discuss the issues of gauge fixing, BRS invariance and positivity. Evidence for the violation of positivity by quarks and transverse…

High Energy Physics - Phenomenology · Physics 2010-02-18 Reinhard Alkofer , Lorenz von Smekal

A particular choice of renormalization, within the simplifications provided by the non-perturbative property of Effective Locality, leads to a completely finite, renormalized theory of QCD, in which all correlation functions can, in…

High Energy Physics - Theory · Physics 2015-05-20 H. M. Fried , P. H. Tsang , Y. Gabellini , T. Grandou , Y. -M. Sheu

High energy strong interaction physics is successfully described by the local renormalizable gauge theory called Quantum-Chromo-Dynamics (QCD) with quarks and gluons as ``elementary'' degrees of freedom, while intermediate energy strong…

Nuclear Theory · Physics 2007-05-23 F. Kleefeld

In eikonal and quenched approximations at least, it is argued that the strong coupling fermionic QCD amplitudes obtained with the help of the newly discovered effective locality property, depart from a dependence on the sole $SU_c(3)$…

High Energy Physics - Theory · Physics 2017-10-10 T. Grandou

In this paper we present a study based on the use of functional techniques on the issue of insertions of massive fermionic fields in the two-dimensional massless Gauged Thirring Model. As it will be shown, the fermionic mass contributes to…

High Energy Physics - Theory · Physics 2014-08-22 R. Bufalo , B. M. Pimentel

We briefly review an effective theory of QCD at high baryon density, describing the relevant modes near the Fermi surface. The high density effective theory has properties of reparametrization invariance and gauge invariance, maintained in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Deog Ki Hong

In eikonal and quenched approximation, it is argued that the strong coupling fermionic QCD Green's functions and related amplitudes depart from a sole dependence on the SUc(3) quadratic Casimir operator, C2f, evaluated over the fundamental…

High Energy Physics - Theory · Physics 2016-10-05 H. M. Fried , T. Grandou , R. Hofmann

Using an exact integrodifferential equation we study the properties of the gauge invariant quark Green's function, defined with a path-ordered gluon field phase factor along a straight line, in two-dimensional QCD in the large-N_c limit.…

High Energy Physics - Phenomenology · Physics 2011-02-11 H. Sazdjian

We discuss random matrix models in terms of elementary operations on Blue's functions (functional inverse of Green's functions). We show that such operations embody the essence of a number of physical phenomena whether at/or away from the…

High Energy Physics - Theory · Physics 2009-09-25 Romuald A. Janik , Maciej A. Nowak , Gabor Papp , Ismail Zahed

A local and renormalizable version of a modified PQCD introduced in previous works is presented. The construction indicates that it could be equivalent to massless QCD. The case in which only quark condensate effects are retained is…

High Energy Physics - Phenomenology · Physics 2012-01-16 Alejandro Cabo Montes de Oca

The interplay of topological electronic band structures and strong interparticle interactions provides a promising path towards the constructive design of robust, long-range entangled many-body systems. As a prototype for such systems, we…

Strongly Correlated Electrons · Physics 2025-02-19 Steffen Bollmann , Chandan Setty , Urban F. P. Seifert , Elio J. König
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