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The non-perturbative BRST quartet mechanism in infrared Landau gauge QCD is presented. It is demonstrated that positivity violation for transverse gluons allows to identify the gluon's non-perturbative BRST quartet. To describe the…

高能物理 - 理论 · 物理学 2013-01-23 Natalia Alkofer , Reinhard Alkofer

The BRST quartet mechanism in infrared Landau gauge QCD is investigated. Based on the observed positivity violation for transverse gluons $A_{\mathrm {tr}}$ the field content of the non-perturbative BRST quartet generated by $A_{\mathrm…

高能物理 - 理论 · 物理学 2011-09-14 Natalia Alkofer , Reinhard Alkofer

The BRST quartet mechanism is briefly reviewed. A special emphasis is given to the distinction of perturbative versus non-perturbative quartets. The field contents of the non-perturbative BRST quartets generated by transverse gluons or…

高能物理 - 理论 · 物理学 2011-09-06 Natalia Alkofer , Reinhard Alkofer

In this paper we study the two-body bound states for gluons and ghosts in a massive Yang-Mills theory which is obtained by generalizing the ordinary massless Yang-Mills theory in a manifestly Lorentz covariant gauge. First, we give a…

高能物理 - 理论 · 物理学 2019-12-06 Hitoshi Fukamachi , Kei-Ichi Kondo , Shogo Nishino , Toru Shinohara

A closed system of equations for the propagators of Landau gauge QCD is obtained in a truncation scheme for their Dyson-Schwinger equations which implements the Slavnov-Taylor identities for the 3-point vertex functions while neglecting…

高能物理 - 唯象学 · 物理学 2007-05-23 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

The Schwinger-Dyson, Bethe-Salpeter system of equations are the link between coloured quarks and gluons, and colourless hadrons and their properties. This talk reviews some aspects of these studies from the infrared behaviour of ghosts to…

核理论 · 物理学 2015-03-19 M. R. Pennington

We consider a local, renormalizable, BRST-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields. It possess a non-perturbative vacuum that spontaneously breaks BRST-invariance. The vacuum condition…

高能物理 - 唯象学 · 物理学 2008-11-26 Daniel Zwanziger

We present a practical method for the solution of the quark-gluon vertex for use in Bethe--Salpeter and Dyson--Schwinger calculations. The efficient decomposition into the necessary covariants is detailed, with the numerical algorithm…

高能物理 - 唯象学 · 物理学 2015-06-11 Richard Williams

Some features of the solutions to the truncated Dyson-Schwinger equations(DSEs) for the propagators of QCD in Landau gauge are summarized. In particular, the Kugo-Ojima confinement criterion is realized, and positivity of transverse gluons…

高能物理 - 唯象学 · 物理学 2009-10-31 Reinhard Alkofer , Lorenz von Smekal

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

高能物理 - 唯象学 · 物理学 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

In BRST-quantised Yang-Mills theory the existence of BRST symmetry imposes significant constraints on the analytic structure of the continuum theory. In particular, the presence of this symmetry in the non-perturbative regime implies that…

高能物理 - 理论 · 物理学 2021-11-05 Shirley Weishi Li , Peter Lowdon , Orlando Oliveira , Paulo J. Silva

The Bethe-Salpeter equation for a pseudoscalar bound-system, with i) a ladder kernel with massive gluons, ii) dynamically-dressed quark mass function and iii) an extended quark-gluon vertex, is solved in Minkowski space by using the…

高能物理 - 唯象学 · 物理学 2023-05-23 A. Castro , W. de Paula , E. Ydrefors , T. Frederico , G. Salme

The early idea that a non-perturbative gluon condensate affects the spectrum of heavy quarks is revisited in the light of modern simulation techniques. We evaluate the low lying spectrum of bound states of two heavy quarks for large…

高能物理 - 格点 · 物理学 2009-10-31 Jochen Fingberg

To investigate the possibility of a ghost-antighost condensate the coupled Dyson--Schwinger equations for the gluon and ghost propagators in Yang--Mills theories are derived in general covariant gauges, including ghost-antighost symmetric…

高能物理 - 理论 · 物理学 2008-11-26 R. Alkofer , C. S. Fischer , H. Reinhardt , L. von Smekal

Some ingredients of the BRST construction for quantum Lie algebras are applied to a wider class of quadratic algebras of constraints. We build the BRST charge for a quantum Lie algebra with three generators and ghost-anti-ghosts commuting…

数学物理 · 物理学 2014-11-18 A. P. Isaev , S. O. Krivonos , O. V. Ogievetsky

The Dyson-Schwinger quark equation is solved for the quark-gluon vertex using the most recent lattice data available in the Landau gauge for the quark, gluon and ghost propagators, the full set of longitudinal tensor structures in the…

高能物理 - 唯象学 · 物理学 2019-02-20 O. Oliveira , W. de Paula , T. Frederico , J. P. B. C de Melo

We extend the QCD Lagrangian to include Pauli-Villars (PV) gluons, quarks, and ghosts in such a way as to retain BRST invariance in an arbitrary covariant gauge. The extended Lagrangian can provide a starting point for nonperturbative…

高能物理 - 理论 · 物理学 2015-06-18 Sophia S. Chabysheva , John R. Hiller

The interpretation of virtual gluons as ghosts in the non-linear gluonic structure of QCD permits the formulation and realization of a manifestly gauge-invariant and Lorentz covariant theory of interacting quarks/anti-quarks, for all values…

高能物理 - 理论 · 物理学 2010-02-11 H. M. Fried , Y. Gabellini , T. Grandou , Y. -M. Sheu

It is thought that strong interactions within the Standard Model can generate bound-states in which non-Abelian gauge-bosons play a dual role, serving both as force and matter fields. In this context we introduce a novel approach to the…

BRST invariance supplies a sufficient condition for the observability of fields. We show that there is a global obstruction to the observability of quarks and gluons and argue that they will not become observables at finite temperature. We…

高能物理 - 理论 · 物理学 2009-10-28 Martin Lavelle , David McMullan
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