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We present the first complete calculation of the analytic structure of the zero-spatial-momentum finite-temperature Landau-gauge gluon propagator carried out at one loop by a massive deformation of QCD perturbation theory -- the screened…

High Energy Physics - Theory · Physics 2026-04-06 Giorgio Comitini

In a Quantum Field Theory, the analytic structure of the 2-points correlation functions, ie the propagators, encloses information about the properties of the corresponding quanta, particularly if they are or not confined. However, in…

High Energy Physics - Lattice · Physics 2020-09-21 Alexandre F. Falcão

We suggest that proper variables for the description of non-Abelian theories are those gauge invariant ones which keep the invariance of the winding number functional with respect to topologically nontrivial (large) gauge transformations.…

High Energy Physics - Theory · Physics 2007-05-23 D. Blaschke , V. N. Pervushin , G. Roepke

Recent progress in the solution of Schwinger-Dyson equations (SDE), as well as lattice simulation of pure glue QCD, indicate that the gluon propagator and coupling constant are infrared (IR) finite. We discuss how this non-perturbative…

High Energy Physics - Phenomenology · Physics 2011-07-14 A. A. Natale

Gauge theories of the Yang-Mills type are the single most important building block of the standard model and beyond. Since Yang-Mills theories are gauge theories their elementary particles, the gauge bosons, cannot be described without…

High Energy Physics - Phenomenology · Physics 2013-03-12 Axel Maas

We derive expressions for various correlators of the gauge field and find the propagators in Hamiltonian dynamics which employs a new gauge $A^\tau=0$. This gauge is a part of the wedge form of relativistic dynamics suggested earlier as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Makhlin

We propose an alternative perturbative expansion for QCD. All scheme and scale dependence is reduced to one free parameter. Fixing this parameter with a fastest apparent convergence criterion gives sensible results in the whole energy…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Van Acoleyen , H. Verschelde

Using a generalized polar decomposition of the gauge fields into gauge-rotation and gauge-invariant parts, which Abelianises the Non-Abelian Gauss-law constraints, an unconstrained Hamiltonian formulation of QCD can be achieved. The exact…

High Energy Physics - Theory · Physics 2014-05-09 Hans-Peter Pavel

We prove an asymptotic structure theorem for glueball and meson propagators of any spin in large-N QCD and in n=1 SUSY QCD with massless quarks, that determines asymptotically the residues of the poles of the propagators in terms of their…

High Energy Physics - Theory · Physics 2015-06-15 Marco Bochicchio

We derive a gauge-invariant low-energy effective model of the SU(2) Yang-Mills theory. We find that the effective gluon propagator belongs to the Gribov-Stingl type, irrespective of the gauge choice. In the maximally Abelian gauge,…

High Energy Physics - Theory · Physics 2011-12-22 Kei-Ichi Kondo

An outline of a proof of the decomposition of linear metric perturbations into gauge-invariant and gauge-variant parts on the an arbitrary background spacetime which admits ADM decomposition is discussed. We explicitly construct the…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Kouji Nakamura

Using the previously derived confining gluon propagator, the corresponding system of equations determining the quark propagator is derived. The system of equations consists of the Schwinger-Dyson equation for the quark propagator itself,…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogokhia

We examine some issues that arise in the q-deformation of a gauge theory. If the deformation is carried out by replacing the equal time commutators of free fields by the corresponding q-commutators, the resulting propagators are not very…

q-alg · Mathematics 2009-10-28 Robert J. Finkelstein

We consider the classical equations of motion of $SU(2)$ gauge theory, without a Higgs field, in Minkowski space. We work in the spherical ansatz and develop a perturbative expansion in the coupling constant $g$ for solutions which in the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Edward Farhi , Valentin V. Khoze , Krishna Rajagopal , Robert Singleton

We study the gauge covariance of the fermion propagator in Maxwell-Chern-Simons planar quantum electrodynamics (QED$_3$) considering four-component spinors with parity-even and parity-odd mass terms both for fermions and photons. Starting…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. Bashir , A. Raya , S. Sanchez-Madrigal

Modeling the propagation of gravitational waves (GWs) through matter is complicated by the gauge freedom of linearized gravity in that once nonlinearities are taken into consideration, gauge artifacts can cause spurious acceleration of the…

General Relativity and Quantum Cosmology · Physics 2024-02-28 Deepen Garg , I. Y. Dodin

We perform complex analyses of the gluon propagator at nonzero quark chemical potential in the long-wavelength limit, using an effective model with a gluon mass term of the Landau-gauge Yang-Mills theory, which is a Landau-gauge limit of…

High Energy Physics - Theory · Physics 2021-05-24 Yui Hayashi , Kei-Ichi Kondo

In this work, we investigate gauge theories in two dimensions nonperturbatively using the Hamiltonian truncation approach. Working on a spatial interval and adopting the axial gauge, we remove all gauge field degrees of freedom and express…

High Energy Physics - Theory · Physics 2026-01-12 Rachel Houtz , James Ingoldby

The gauge principle is fundamental in formulating the Standard Model. Fermion--gauge-boson couplings are the inescapable consequence and the primary determining factor for observable phenomena. Vertices describing such couplings are simple…

Nuclear Theory · Physics 2013-05-16 Si-xue Qin , Lei Chang , Yu-xin Liu , Craig D. Roberts , Sebastian M. Schmidt

We have explicitly shown that QCD is the color gauge invariant theory at non-zero mass gap as well. It has been defined as the value of the regularized full gluon self-energy at some finite point. The mass gap is mainly generated by the…

High Energy Physics - Phenomenology · Physics 2009-12-07 V. Gogokhia