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In this note we discuss a couple of technical issues relevant to solving the Dyson-Schwinger equation for the gluon propagator in Landau gauge Yang-Mills theory. In the deep infrared functional methods extract a one-parameter family of…

High Energy Physics - Phenomenology · Physics 2015-05-20 Christian S. Fischer , Lorenz von Smekal

The Schwinger-Dyson formalism is used to check the consistency of instanton model solutions for the quark propagator with recent models of confining gluon propagators. We find that the models are not consistent. A major discrepancy is the…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. S. Kisslinger , M. Aw , A. Harey , O. Linsuain

We study the spin factor problem both in $3+1$ and $2+1$ dimensions which are essentially different for spin factor construction. Doing all Grassmann integrations in the corresponding path integral representations for Dirac propagator we…

High Energy Physics - Theory · Physics 2014-11-18 D. M. Gitman , S. I. Zlatev

We consider a simple action for a fractional spin particle and a path integral representation for the propagator is obtained in a gauge such that the constraint embodied in the Lagrangian is not an obstacle. We obtain a propagator for the…

High Energy Physics - Theory · Physics 2007-05-23 Wellington da Cruz

A formalism of gauge and Lorentz covariant Schwinger-Dyson equation is built up for fermion propagator in presence of arbitrary external gauge field within ladder approximation. Different type external electromagnetic field dependent trial…

High Energy Physics - Phenomenology · Physics 2011-08-31 Xiang Chen , Ying Zhang , Fa-Min Chen , Qing Wang

Using SU(2) lattice QCD in two dimensions, we study diagonal and off-diagonal gluon propagators in the maximally Abelian gauge (MAG) with U(1)$_3$ Landau gauge fixing. These propagators are investigated both in momentum space and coordinate…

High Energy Physics - Lattice · Physics 2014-11-11 Shinya Gongyo

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

We study the propagation of scalar fields on various backgrounds in three dimensional higher spin gravity. Our main emphasis is on obtaining the bulk-boundary propagator, which can be efficiently computed using group theory and higher spin…

High Energy Physics - Theory · Physics 2015-06-11 Per Kraus , Eric Perlmutter

Propagators of diagonal and off-diagonal gluons are studied numerically in the Maximally Abelian gauge of the SU(2) lattice gauge theory. We have found the strong enhancement of the diagonal gluon in the infrared region. The enhancement…

High Energy Physics - Lattice · Physics 2009-11-10 V. G. Bornyakov , M. N. Chernodub , F. V. Gubarev , S. M. Morozov , M. I. Polikarpov

We calculated the SU(2) gluon propagator in Landau gauge on an anisotropic coarse lattice with the improved action. The standard and the improved scheme are used to fix the gauge in this work. Even on the coarse lattice the lattice gluon…

High Energy Physics - Lattice · Physics 2009-10-31 Ying Chen , Bing He , He Lin , Ji-Min Wu

We have obtained propagators in the position space as an expansion over Landau levels for the charged scalar particle, fermion, and massive vector boson in a constant external magnetic field. The summation terms in the resulting expressions…

High Energy Physics - Theory · Physics 2022-03-23 S. N. Iablokov , A. V. Kuznetsov

We study the necessary conditions for obtaining infrared finite solutions from the Schwinger-Dyson equation governing the dynamics of the gluon propagator. The equation in question is set up in the Feynman gauge of the background field…

High Energy Physics - Phenomenology · Physics 2008-11-26 Arlene C. Aguilar , Joannis Papavassiliou

Based on the Dyson-Schwinger equation, we compute the resummed gluon propagator in a holonomous plasma that is described by introducing a constant background field for the vector potential $A_{0}$. Due to the transversality of the…

High Energy Physics - Phenomenology · Physics 2021-09-22 Yun Guo , Zhenpeng Kuang

The deconfinement phase transition of pure Yang-Mills theory at finite temperature is reflected in the behavior of gauge-fixed gluonic correlation functions. This is one of many examples of how physical information can be extracted from…

High Energy Physics - Lattice · Physics 2012-03-16 Axel Maas , Jan M. Pawlowski , Lorenz von Smekal , Daniel Spielmann

In previous work, a lattice scalar propagator was rigorously defined in $d=1$ flat space and shown to equal the known Klein-Gordon propagator of QFT. This work generalizes this lattice propagator to manifolds whose universal cover is the…

Mathematical Physics · Physics 2023-11-30 Rory O'Dwyer

It is well known that the propagator for a massive scalar field is ill-defined in the coordinate space for $d\geq2$, in particular it diverges at the light-cone; we show that by using Lorentz symmetry breaking weighted measures, an infinite…

High Energy Physics - Theory · Physics 2024-09-17 R. Cartas-Fuentevilla , S. González-Salud , R. Bárcena-Ramos , J. Berra-Montiel

The Landau gauge lattice gluon propagator is discussed for different sets of lattices. Particular attention is given to its infrared properties. Our results show that the lattice propagator can be made compatible with either the…

High Energy Physics - Lattice · Physics 2011-07-14 O. Oliveira , P. J. Silva

We consider the gluon propagator in the Landau gauge at low spacelike momenta and with the dressing function $Z(Q^2)$ at the two-loop order. We incorporate the nonperturbative effects by making the (noninteger) powers of the QCD coupling in…

High Energy Physics - Phenomenology · Physics 2014-09-01 Pedro Allendes , Cesar Ayala , Gorazd Cvetič

The static longitudinal and transverse gluon propagators in the Landau gauge are studied in $2+1$ lattice QCD with nonzero isospin chemical potential $\mu_I$. Parameterization of the momentum dependence of the propagators is provided for…

High Energy Physics - Lattice · Physics 2021-09-21 V. G. Bornyakov , A. A. Nikolaev , R. N. Rogalyov , A. S. Terentev

The concept of a propagator is useful and is a well-known object in diffusion NMR experiments. Here, we investigate the related concept; the propagator for the magnetisation or the Green's function of the Torrey-Bloch equations. The…

Statistical Mechanics · Physics 2015-03-25 Robin A. Damion