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We study a class of three-waveguide axially varying structures whose dynamics are described by the su(3) algebra. Their analytic propagator can be found based on the corresponding Lie group generators. In particular, we show that the field…

I give explicit fromulae for full propagators of vector and scalar fields in a generic spin-1 gauge model quantized in an arbitrary linear covariant gauge. The propagators, expressed in terms of all-order one-particle-irreducible…

High Energy Physics - Phenomenology · Physics 2019-06-26 Adrian Lewandowski

Although gauge-boson propagators in asymptotically-free gauge theories satisfy a dispersion relation, they do not satisfy the K\"allen-Lehmann (KL) representation because the spectral function changes sign. We argue that this is a simple…

High Energy Physics - Phenomenology · Physics 2009-11-10 John M. Cornwall

We study the wave propagation in nonlinear electrodynamical models. Particular attention is paid to the derivation and the analysis of the Fresnel equation for the wave covectors. For the class of general nonlinear Lagrangian models, we…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yuri N. Obukhov , Guillermo F. Rubilar

We perform a calculation of the isospin and hypercharge vector current propagators ($\Delta_{V33}^{\mu\nu}(q^2)$ and $\Delta_{V88}^{\mu\nu}(q^2)$) to two loops in chiral perturbation theory. The analysis is carried out with straightforward…

High Energy Physics - Phenomenology · Physics 2009-10-28 Eugene Golowich , Joachim Kambor

We calculate the dressed gluon and ghost propagators of Landau gauge Yang-Mills theory in the complex momentum plane from their Dyson-Schwinger equations. To this end, we develop techniques for a direct calculation such that no…

High Energy Physics - Phenomenology · Physics 2020-11-18 Christian S. Fischer , Markus Q. Huber

Gauge fields are special in the sense that they are invariant under gauge transformations and they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix gauge.

Nuclear Theory · Physics 2007-05-23 J. H. O. Sales

It has been questioned if gluon distributions defined in different representations of $SU(N)$ are the same. The question has arisen in the connection to the recently proposed resolution of the so-called axial gauge puzzle. We give a proof…

High Energy Physics - Phenomenology · Physics 2024-09-09 J. P. Ma , G. P. Zhang

Contrary to common belief, the longitudinal vector meson and scalar meson propagators have very different forms in spontaneously broken gauge theories. We choose the Abelian-Higgs model as an example and show that the longitudinal vector…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hung Cheng , S. P. Li

We study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract $\Lambda_{\text{QCD}}$ -…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov , C. Roiesnel

The gluon propagator in Landau gauge is calculated in quenched QCD on a large (32^3X64) lattice at beta=6.0. In order to assess finite volume and finite lattice spacing artefacts, we also calculate the propagator on a smaller volume for two…

High Energy Physics - Lattice · Physics 2007-05-23 D. B. Leinweber , J. I. Skullerud , A. G. Williams

Gauge theories play a fundamental role in particle physics, nuclear physics, and cosmology. The basic idea of these theories is that the Lagrangian density should be invariant under some transformations. Lagrangian invariance implies a…

High Energy Physics - Theory · Physics 2022-12-21 Jale Y. Sungu , Arzu Turkan , Elsen Veli Veliev

We derive the photon propagator in light-shell gauge, which was first introduced in the context of light-shell effective theory.

High Energy Physics - Phenomenology · Physics 2016-05-11 Howard Georgi , Greg Kestin , Aqil Sajjad

We investigate gluon propagators and the effective mass of the gluon fields in the MA gauge with U(1)$_3 \times$ U(1)$_8$ Landau gauge fixing in SU(3) lattice QCD. The Monte Carlo simulation is performed on $16^4$ at $\beta$=5.7, 5.8 and…

High Energy Physics - Lattice · Physics 2013-01-15 Shinya Gongyo , Hideo Suganuma , Takumi Iritani

We evaluate numerically the momentum-space gluon propagator in the lattice Landau gauge, for three- and four-dimensional pure SU(2) lattice gauge theory. Although there are large finite-size effects, we always observe, in the limit of large…

High Energy Physics - Lattice · Physics 2007-05-23 Attilio Cucchieri

A general method for treating non-Gaussian wave functionals in quantum field theory is presented and applied to the Hamiltonian approach to Yang-Mills theory in Coulomb gauge in order to include a three-gluon kernel in the exponential of…

High Energy Physics - Theory · Physics 2015-05-20 Davide R. Campagnari , Hugo Reinhardt

We investigate the propagators of 4D SU(2) gauge theory in Landau gauge by Monte Carlo simulations. To be able to compare with perturbative calculations we use large $\beta$ values. There the breaking of the Z(2) symmetry causes large…

High Energy Physics - Lattice · Physics 2009-10-30 G. Damm , W. Kerler , V. K. Mitrjushkin

We study the influence of Gribov copies on gluon and ghost propagators in lattice Landau gauge. For the gluon propagator, Gribov noise seems to be of the order of magnitude of the numerical accuracy. On the contrary, for the ghost…

High Energy Physics - Lattice · Physics 2009-10-30 Attilio Cucchieri , Tereza Mendes

The gluon propagator in Landau gauge is calculated on the lattice for SU(2) gauge theory. In particular the manifestation of confinement in the gluon propagator is studied. Removing the confining center vortices from the Yang-Mills ensemble…

High Energy Physics - Lattice · Physics 2015-06-25 K. Langfeld , H. Reinhardt , J. Gattnar

We give a simple proof of perturbative unitarity in gauge theories and quantum gravity using a special gauge that allows us to separate the physical poles of the free propagators, which are quantized by means of the Feynman prescription,…

High Energy Physics - Theory · Physics 2019-12-10 Damiano Anselmi