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A method for systematically including topological degrees of freedom in perturbation theory is developed. This is not bound by the restrictions of semi-classical techniques. The Yang-Mills theory in three Euclidean dimensions is considered…

High Energy Physics - Theory · Physics 2007-05-23 E. Harikumar , Indrajit Mitra , H. S. Sharatchandra

In order to understand the confining decoupling solution of the Yang-Mills theory in the Landau gauge, we consider the massive Yang-Mills model which is defined by just adding a gluon mass term to the Yang-Mills theory with the…

High Energy Physics - Theory · Physics 2020-02-26 Kei-Ichi Kondo , Masaki Watanabe , Yui Hayashi , Ryutaro Matsudo , Yutaro Suda

The evolution of physical and gauge degrees of freedom in the Einstein and Yang-Mills theories are separated in a gauge-invariant manner. We show that the equations of motion of these theories can always be written in flux-conservative…

General Relativity and Quantum Cosmology · Physics 2012-08-27 A. Abrahams , A. Anderson , Y. Choquet-Bruhat , J. W. York,

The quantisation of gauge invariant systems usually proceeds through some gauge fixing procedure of one type or another. Typically for most cases, such gauge fixings are plagued by Gribov ambiguities, while it is only for an admissible…

High Energy Physics - Theory · Physics 2008-11-26 Victor M. Villanueva , Jan Govaerts , Jose-Luis Lucio-Martinez

Non-perturbative properties of QCD, such as color confinement, are encoded in the infrared behavior of correlation functions, e.g. propagators and vertices. Various analytic predictions have been suggested for these quantities in various…

High Energy Physics - Lattice · Physics 2010-11-15 Axel Maas , Attilio Cucchieri , Tereza Mendes

We suggest an extension of the gauge principle which includes tensor gauge fields. The extended non-Abelian gauge transformations of the tensor gauge fields form a new large group. On this group one can define field strength tensors, which…

High Energy Physics - Theory · Physics 2009-11-11 George Savvidy

The thermodynamics of gauge theories on the noncommutative plane is studied in perturbation theory. For U(1) noncommutative Yang-Mills we compute the first quantum correction to the ideal gas free energy density and study their behavior in…

High Energy Physics - Theory · Physics 2009-10-31 G. Arcioni , M. A. Vazquez-Mozo

In a recent article [1], we have identified new signatures for the Yang-Mills deconfinement transition, based on the finite-temperature longitudinal or (chromo-)electric gluon propagator as computed in the center-symmetric Landau gauge.…

High Energy Physics - Theory · Physics 2023-09-25 Duifje Maria van Egmond , Urko Reinosa

We extend the covariant variational approach for SU(N) Yang-Mills theory in Landau gauge to non-zero temperatures. The renormalization of the zero-temperature case is revisited and it is shown that the same counterterms are sufficient to…

High Energy Physics - Theory · Physics 2015-08-05 Markus Quandt , Hugo Reinhardt

Green's functions are gauge-dependent quantities. Thus, the manifestation of confinement in these correlation functions also depends on the gauge. Here we use lattice gauge theory to study the gluon and the ghost propagators in a gauge (the…

High Energy Physics - Lattice · Physics 2009-03-27 Axel Maas , Attilio Cucchieri , Tereza Mendes

The infrared behavior of Yang-Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson-Schwinger studies are discussed. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Axel Maas

A new fomulation of the Yang-Mills theory which allows to avoid the problem of Gribov ambiguity of the gauge fixing is proposed.

High Energy Physics - Theory · Physics 2014-11-18 A. A. Slavnov

According to the introduction of a minimal length to quantum field theory which is directly related to a generalized uncertainty principle the implementation of the gauge principle becomes much more intricated. It has been shown in another…

High Energy Physics - Phenomenology · Physics 2011-09-29 Martin Kober

We show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable…

High Energy Physics - Theory · Physics 2015-01-14 T. R. S. Santos , R. F. Sobreiro

Two kinds of Yang-Mills fields are found upon the concepts of mass eigenstate and nonmass eigenstate. The Yang-Mills fields of the first kind were proposed by Yang and Mills, which couple to the mass eigenstates with the same rest mass,…

High Energy Physics - Phenomenology · Physics 2009-06-16 Xin-Bing Huang

The standard Feynman diagrammatic approach to quantum field theories assumes that perturbation theory approximates the full quantum theory at small coupling even when a mathematically rigorous construction of the latter is absent. On the…

Mathematical Physics · Physics 2018-02-21 Timothy Nguyen

We prove the perturbative renormalisability of pure SU(2) Yang-Mills theory in the abelian gauge supplemented with mass terms. Whereas mass terms for the gauge fields charged under the diagonal U(1) allow to preserve the standard form of…

High Energy Physics - Theory · Physics 2009-11-07 U. Ellwanger , N. Wschebor

I consider the problem of generalising the Abelian Coulomb gauge condition to the non-Abelian Yang-Mills theory, with an arbitrary compact and semi-simple gauge group. It is shown that a straightforward generalisation exists, which reduces…

High Energy Physics - Theory · Physics 2007-05-23 Christofer Cronstrom

Gauge symmetries remove unphysical states and guarantee that field theories are free from the pathologies associated with these states. In this work we find a set of general conditions that guarantee the removal of unphysical states in…

High Energy Physics - Theory · Physics 2021-07-29 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gerardo García-Moreno

Alexei Kotov and Thomas Strobl have introduced a covariantized formulation of Yang-Mills-Higgs gauge theories whose main motivation was to replace the Lie algebra with Lie algebroids. This allows the introduction of a possibly non-flat…

Mathematical Physics · Physics 2021-01-21 Simon-Raphael Fischer
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