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It is shown that in the absence of free abelian gauge fields, the conserved currents of (classical) Yang-Mills gauge models coupled to matter fields can be always redefined so as to be gauge invariant. This is a direct consequence of the…

High Energy Physics - Theory · Physics 2009-10-28 Glenn Barnich , Friedemann Brandt , Marc Henneaux

We present a strong coupling expansion that permits to develop analysis of quantum field theory in the infrared limit. Application to a quartic massless scalar field gives a massive spectrum and the propagator in this regime. We extend the…

High Energy Physics - Phenomenology · Physics 2009-03-17 Marco Frasca

The boundstate problem in 2+1-dimensional large-N Yang-Mills theory is accurately solved using the light-front Hamiltonian of transverse lattice gauge theory. We conduct a thorough investigation of the space of couplings on coarse lattices,…

High Energy Physics - Lattice · Physics 2009-10-31 S. Dalley , B. van de Sande

We study the dominant non-perturbative power corrections to the ghost and gluon propagators in Landau gauge pure Yang-Mills theory using OPE and lattice simulations. The leading order Wilson coefficients are proven to be the same for both…

High Energy Physics - Lattice · Physics 2010-03-19 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , A. Y. Lokhov , J. Micheli , O. Pene , J. Rodriguez-Quintero , C. Roiesnel

We study the Hamiltonian approach to Yang-Mills theory in Coulomb gauge in Rayleigh-Schroedinger perturbation theory. The static gluon and ghost propagator as well as the potential between static colour sources are calculated to one-loop…

High Energy Physics - Theory · Physics 2011-04-14 Davide R. Campagnari , Hugo Reinhardt , Axel Weber

We propose a description of the gluon scattering amplitudes as the inverse Mellin transforms of the conformal correlators of light operators in two-dimensional Liouville theory tensored with WZW-like chiral currents on the celestial sphere.…

High Energy Physics - Theory · Physics 2023-08-22 Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

It is shown that the quantization of the unphysical degrees of freedom, which leads to the Mandelstam--Leibbrandt prescription for the infrared spurious singularities in the continuum light cone gauge, does indeed suggest some quite natural…

High Energy Physics - Theory · Physics 2007-05-23 Roberto Soldati

The light-front (LF) quantization of QCD in light-cone (l.c.) gauge is discussed. The Dirac method is employed to construct the LF Hamiltonian and theory quantized canonically. The Dyson-Wick perturbation theory expansion based on LF-time…

High Energy Physics - Phenomenology · Physics 2017-08-23 Prem P. Srivastava , Stanley J. Brodsky

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the…

High Energy Physics - Theory · Physics 2017-08-23 K. -I. Kondo

${\cal N}=4$ Super Yang-Mills theory is a highly constrained theory, and therefore a valuable tool to test the understanding of less constrained Yang-Mills theories. Our aim is to use it to test our understanding of both the Landau gauge…

High Energy Physics - Phenomenology · Physics 2016-03-09 Axel Maas , Stefan Zitz

In order to construct a gauge invariant two-point function in a Yang-Mills theory, we propose the use of the all-order gauge invariant transverse configurations A^h. Such configurations can be obtained through the minimization of the…

High Energy Physics - Theory · Physics 2017-03-01 M. A. L. Capri , D. Dudal , A. D. Pereira , D. Fiorentini , M. S. Guimaraes , B. W. Mintz , L. F. Palhares , S. P. Sorella

Accurate non-perturbative calculations of glueballs are performed using light-front quantised SU(N) gauge theory, to leading order of the 1/N expansion. Based on early work of Bardeen and Pearson, disordered gauge-covariant link variables M…

High Energy Physics - Lattice · Physics 2010-11-19 S. Dalley , B. van de Sande

Many of the exciting features of the Standard Model of the elementary particles are inherently non-perturbative. A theoretical understanding of many physics aspects beyond the Standard Model of elementary particles also requires a…

High Energy Physics - Lattice · Physics 2024-02-12 Navdeep Singh Dhindsa

In this talk we consider the mass-deformed Yang-Mills theory in the covariant gauge which is obtained by just adding a gluon mass term to the Yang-Mills theory with the covariant gauge fixing term and the associated Faddeev-Popov ghost…

High Energy Physics - Theory · Physics 2018-12-04 Kei-Ichi Kondo , Yutaro Suda , Masaki Ohuchi , Ryutaro Matsudo , Yui Hayashi

In this Thesis we present a comprehensive study of perturbative and non-perturbative non-Abelian gauge theories in the light of gauge-fixing procedures, focusing our attention on the BRST formalism in Yang-Mills theory. We propose first a…

High Energy Physics - Theory · Physics 2007-12-07 Marco Ghiotti

Pure Yang-Mills theories on the $S_1\times R$ cylinder are quantized in light-cone gauge $A_-=0$ by means of ${\bf equal-time}$ commutation relations. Positive and negative frequency components are excluded from the ``physical" Hilbert…

High Energy Physics - Theory · Physics 2007-05-23 A. Bassetto , L. Griguolo , G. Nardelli

The construction of a consistent measure for Yang-Mills is a precondition for an accurate formulation of non-perturbative approaches to QCD, both analytical and numerical. Using projective limits as subsets of Cartesian products of…

High Energy Physics - Theory · Physics 2017-11-13 R. Vilela Mendes

The inclusion of a mass-like term for the gluon in Yang-Mills theories quantized in the Landau gauge has proven to be an effective way of reproducing lattice results for gauge-fixed correlation functions within perturbative computations.…

High Energy Physics - Theory · Physics 2026-03-20 D. M. van Egmond , L. C. Ferreira , A. D. Pereira , G. Peruzzo , S. P. Sorella

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance…

High Energy Physics - Theory · Physics 2009-11-11 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , A. J. da Silva

Starting from the temporal gauge Hamiltonian for classical pure Yang-Mills theory with the gauge group SU(2) a canonical transformation is initiated by parametrising the Gauss law generators with three new canonical variables. The…

High Energy Physics - Theory · Physics 2007-05-23 Antti Salmela