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Yang-Mills theory is studied at finite temperature within the Hamiltonian approach in Coulomb gauge by means of the variational principle using a Gaussian type ansatz for the vacuum wave functional. Temperature is introduced by…

High Energy Physics - Theory · Physics 2015-04-22 J. Heffner , H. Reinhardt

In this work we discuss an analytic approach towards the solution of pure Yang-Mills theory in 3+1 dimensional spacetime which strongly suggests that the recent strategy already applied to pure Yang-Mills theory in 2+1 can be extended to…

High Energy Physics - Theory · Physics 2007-05-23 Laurent Freidel

The natural constraints for the weak-field approximation to composite gravity, which is obtained by expressing the gauge vector fields of the Yang-Mills theory based on the Lorentz group in terms of tetrad variables and their derivatives,…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Hans Christian Öttinger

Classical Isometrodynamics is quantized in the Euclidean plus axial gauge. The quantization is then generalized to a broad class of gauges and the generating functional for the Green functions of Quantum Isometrodynamics (QID) is derived.…

Mathematical Physics · Physics 2009-08-13 Christian Wiesendanger

A geometrization of the Yang-Mills field, by which an SU(2) gauge theory becomes equivalent to a 3-space geometry - or optical system - is examined. In a first step, ambient space remains Euclidean and current problems on flat space can be…

Mathematical Physics · Physics 2016-09-07 R. Aldrovandi , A. L. Barbosa

Quantum Yang-Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of…

High Energy Physics - Theory · Physics 2017-08-23 Dmitri Diakonov

We examine an extension of the ideas of quantum cosmology and, in particular, the proposal of Hartle and Hawking for the boundary conditions of the Universe, to models which incorporate Yang-Mills fields. Inhomogeneous perturbations about a…

High Energy Physics - Theory · Physics 2010-11-01 D. Kapetanakis , G. Koutsoumbas , A. Lukas , P. Mayr

We construct a unified covariant derivative that contains the sum of an affine connection and a Yang-Mills field. With it we construct a lagrangian that is invariant both under diffeomorphisms and Yang-Mills gauge transformations. We assume…

General Relativity and Quantum Cosmology · Physics 2007-07-10 Max Chaves

Massless Dirac equation for spinor multiplets is minimally coupled with a unitary representation of an arbitrary compact semisimple gauge group. The spectrum of the second quantized interaction Hamiltonian has a positive mass gap running…

General Physics · Physics 2020-04-22 Alexander Dynin

We study renormalizability aspects of the spectral action for the Yang-Mills system on a flat 4-dimensional background manifold, focusing on its asymptotic expansion. Interpreting the latter as a higher-derivative gauge theory, a…

Mathematical Physics · Physics 2015-05-28 Walter D. van Suijlekom

We construct a lattice formulation of a mass-deformed two-dimensional N=(8,8) super Yang-Mills theory with preserving two supercharges exactly. Gauge fields are represented by compact unitary link variables, and the exact supercharges on…

High Energy Physics - Lattice · Physics 2015-03-17 Masanori Hanada , So Matsuura , Fumihiko Sugino

We study a deSitter/Anti-deSitter/Poincare Yang-Mills theory of gravity in d-space-time dimensions in an attempt to retain the best features of both general relativity and Yang-Mills theory: quadratic curvature, dimensionless coupling and…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Jack Gegenberg , Gabor Kunstatter

The renormalization of N=1 Super Yang-Mills theory is analysed in the Wess-Zumino gauge, employing the Landau condition. An all orders proof of the renormalizability of the theory is given by means of the Algebraic Renormalization…

High Energy Physics - Theory · Physics 2014-05-19 M. A. L. Capri , D. R. Granado , M. S. Guimaraes , I. F. Justo , L. Mihaila , S. P. Sorella , D. Vercauteren

In the present work, multiplicative renormalization \cite{dixon} for Yang-Mills theories is reviewed. While this subject is not new, it is suggested that a clear understanding of these methods leads to a systematic way for interpreting the…

High Energy Physics - Theory · Physics 2025-06-10 Osvaldo Santillán , Alejandro Morano

We consider a Yang-Mills type gauge theory of gravity based on the conformal group SO(4,2) coupled to a conformally invariant real scalar field. The goal is to generate fundamental dimensional constants via spontaneous breakdown of the…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Jack Gegenberg , Gabor Kunstatter

Studies of noncommutative gauge theory have mainly focused on noncommutative spacetimes with constant noncommutative structure, with little known about actions for noncommutative 4D Yang-Mills theory beyond this case. We construct an action…

High Energy Physics - Theory · Physics 2023-02-07 Tim Meier , Stijn J. van Tongeren

We propose a systematic way of finding solutions to classical Yang-Mills equation with nontrivial topology. This approach is based on one of Wightman axioms for quantum field theory, which is referred to as form invariance condition in this…

High Energy Physics - Theory · Physics 2021-07-02 Jun Nian , Yachao Qian

We study the large N dynamics of two massless Yang-Mills coupled matrix quantum mechanics, by minimization of a loop truncated Jevicki-Sakita effective collective field Hamiltonian. The loop space constraints are handled by the use of…

High Energy Physics - Theory · Physics 2023-12-06 Kagiso Mathaba , Mbavhalelo Mulokwe , João P. Rodrigues

Yang-Mills theories are an important building block of the standard model and in particular of quantum chromodynamics. Its correlation functions describe the behavior of its elementary particles, the gauge bosons. In quantum chromodynamics,…

High Energy Physics - Phenomenology · Physics 2020-04-23 Markus Q. Huber

The equations of a relative equilibrium in a pure Yang--Mills gauge theory with the Coulomb gauge fixing are obtained. They are derived as a direct consequence of the results of our previous work on Wong's equations in gauge theory.The…

Mathematical Physics · Physics 2017-11-15 S. N. Storchak