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We consider some typical gauge models in the causal approach: Yang-Mills and pure massless gravity up to the second order of the perturbation theory. We prove that the loop contributions are coboundaries, up to super-renormalizable terms in…

High Energy Physics - Theory · Physics 2013-01-15 Dan-Radu Grigore

We propose an approach that views U(N_c) Yang-Mills theory as the critical point of an induced gauge model on the lattice. Similar recent proposals based on the color-flavor transformation rely on taking the limit of an infinite number of…

Mathematical Physics · Physics 2007-05-23 J. Budczies , M. R. Zirnbauer

Quantum properties of topological Yang-Mills theory in (anti-)self-dual Landau gauge were recently investigated by the authors. We extend the analysis of renormalizability for two generalized classes of gauges; each of them depending on one…

High Energy Physics - Theory · Physics 2018-12-03 O. C. Junqueira , A. D. Pereira , G. Sadovski , R. F. Sobreiro , A. A. Tomaz

Some non perturbative aspects of the pure SU(3) Yang-Mills theory are investigated assuming a specific form of the beta function, based on a recent modification by Ryttov and Sannino of the known one for supersymmetric gauge theories. The…

High Energy Physics - Phenomenology · Physics 2010-12-09 Francesco Sannino , Joseph Schechter

An equivariantly gauge-fixed non-abelian gauge theory is a theory in which a coset of the gauge group, not containing the maximal abelian subgroup, is gauge fixed. Such theories are non-perturbatively well-defined. In a finite volume, the…

High Energy Physics - Lattice · Physics 2013-03-14 Maarten Golterman , Yigal Shamir

Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic…

High Energy Physics - Phenomenology · Physics 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote

In the case of non-abelian gauge theories, the standard Faddeev-Popov (FP) gauge-fixing procedure in the Landau gauge is known to be incomplete due to the presence of gauge-equivalent field configurations. A widespread belief is that the…

High Energy Physics - Theory · Physics 2020-09-11 Urko Reinosa

We investigate Polyakov's proposal of constructing Yang-Mills theories by using non critical type 0 strings. We break conformal invariance by putting the system at finite temperature and find that the entropy of the cosmological solutions…

High Energy Physics - Theory · Physics 2008-11-26 Gabriele Ferretti , Dario Martelli

We revisit the construction of topological Yang-Mills theories of the Witten type with arbitrary space-time dimension and number of ``shift supersymmetry'' generators, using a superspace formalism. The super-BF structure of these theories…

High Energy Physics - Theory · Physics 2009-11-10 Clisthenis P. Constantinidis , Olivier Piguet , Wesley Spalenza

We reinterpret the Faddeev-Popov gauge-fixing procedure of Yang-Mills theories as the definition of a topological quantum field theory for gauge group elements depending on a background connection. This has the advantage of relating…

High Energy Physics - Theory · Physics 2008-11-26 Laurent Baulieu , Martin Schaden

A nonabelian class of massless/massive nonlinear gauge theories of Yang-Mills vector potentials coupled to Freedman-Townsend antisymmetric tensor potentials is constructed in four spacetime dimensions. These theories involve an extended…

Mathematical Physics · Physics 2009-11-07 Stephen C. Anco

We examine the problem of counting bound states of BPS black holes on local Calabi-Yau threefolds which are fibrations over a Riemann surface by computing the partition function of q-deformed Yang-Mills theory on the Riemann surface. We…

High Energy Physics - Theory · Physics 2009-11-11 Nicola Caporaso , Michele Cirafici , Luca Griguolo , Sara Pasquetti , Domenico Seminara , Richard J. Szabo

We discuss and then resolve a tension between how physicists treat gauge bosons and the celebrated "Wu-Yang dictionary", which identifies particle physics terminology with that of principal bundles and principal connections. We show how…

History and Philosophy of Physics · Physics 2026-03-23 India Bhalla-Ladd , Eleanor March , James Owen Weatherall

The study of the Dyson-Schwinger equations of Landau gauge Yang-Mills theory has revealed two types of solutions for the gluon and ghost propagators, with a scaling and a massive (decoupling) behavior in the extreme infrared, respectively.…

High Energy Physics - Theory · Physics 2013-05-30 Axel Weber

$SU(N)$ Yang-Mills theory in three dimensions, with a Chern-Simons term of level $k$ (an integer) added, has two dimensionful coupling constants, $g^2 k$ and $g^2 N$; its possible phases depend on the size of $k$ relative to $N$. For $k \gg…

High Energy Physics - Theory · Physics 2014-11-18 John M. Cornwall

We present high-precision lattice calculations of the thermodynamics of Yang-Mills theories with different gauge groups. In the confining phase, we show that the equation of state is described remarkably well by a gas of massive,…

High Energy Physics - Lattice · Physics 2015-10-06 Alessandro Nada

We study the Gribov problem within a Hamiltonian formulation of pure Yang-Mills theory. For a particular gauge fixing, a finite volume modification of the axial gauge, we find an exact characterization of the space of gauge-inequivalent…

High Energy Physics - Theory · Physics 2009-10-30 T. Heinzl

An efficient way of resolving Gauss' law in Yang-Mills theory is presented by starting from the projected gauge invariant partition function and integrating out one spatial field variable. In this way one obtains immediately the description…

High Energy Physics - Theory · Physics 2008-11-26 H. Reinhardt

We put forward a continuum approach for computing finite temperature correlation functions in Yang-Mills theory. This is done in a functional renormalisation group setting which allows for the construction of purely thermal RG-flows. This…

High Energy Physics - Phenomenology · Physics 2011-12-23 Leonard Fister , Jan M. Pawlowski

We study a model of quantum Yang-Mills theory with a finite number of gauge invariant degrees of freedom. The gauge field has only a finite number of degrees of freedom since we assume that space-time is a two dimensional cylinder. We…

High Energy Physics - Theory · Physics 2011-07-19 K. S. Gupta , R. J. Henderson , S. G. Rajeev , O. T. Turgut
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