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We compute the two-loop corrections to the thermodynamical pressure of an SU(2) Yang-Mills theory being in its electric phase. Our results prove that the one-loop evolution of the effective gauge coupling constant is reliable for any…

High Energy Physics - Theory · Physics 2007-05-23 U. Herbst , R. Hofmann , J. Rohrer

In generalized Yang-Mills theories scalar fields can be gauged just as vector fields in a usual Yang-Mills theory, albeit it is done in the spinorial representation. The presentation of these theories is aesthetic in the following sense: A…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaves

In this paper we use a non-covariant gauge which makes some of the YM features manifest which otherwise do not appear explicitly in the Landau gauge used by Nielsen and Olesen.We show, in fact, that the unstable mode which makes a large…

High Energy Physics - Theory · Physics 2009-10-30 E. I. Guendelman , Aleksey Nudelman

As a first step towards a strong coupling expansion of Yang-Mills theory, the SU(2) Yang-Mills quantum mechanics of spatially constant gauge fields is investigated in the symmetric gauge, with the six physical fields represented in terms of…

High Energy Physics - Theory · Physics 2008-11-26 H. -P. Pavel

Models with higher order derivative terms in the kinetic energy appear not only as effective theories, they can be considered as elementary, renormalizable models in their own right. The extension of Higgs mechanism is discussed for…

High Energy Physics - Theory · Physics 2015-06-11 Janos Polonyi , Alicja Siwek

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

In this paper we continue the study of the truncated conformal space approach to perturbed boundary conformal field theories. This approach to perturbation theory suffers from a renormalisation of the coupling constant and a multiplicative…

High Energy Physics - Theory · Physics 2015-05-27 Gerard Watts

A detailed discussion of the renormalization properties of a class of gauges which interpolates among the Landau, Coulomb and Maximal Abelian gauges is provided in the framework of the algebraic renormalization in Euclidean Yang-Mills…

High Energy Physics - Theory · Physics 2008-11-26 M. A. L. Capri , R. F. Sobreiro , S. P. Sorella , R. Thibes

It is possible to find different sets of local coordinates in the field space of Yang-Mills theories which implement Gauss' law manifestly for physical states. The singular points of the transformations to these gauge-invariant coordinates…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. E. Haagensen

It has recently been determined that, within the framework of the Exact Renormalisation Group, continuum computations can be performed to any loop order in SU(N) Yang-Mills theory without fixing the gauge or specifying the details of the…

High Energy Physics - Theory · Physics 2009-11-11 Oliver J. Rosten

A gauge invariant infrared regularization of the Yang-Mills theory applicable beyond perturbation theory is constructed.

High Energy Physics - Theory · Physics 2015-06-12 A. A. Slavnov

The Yang--Mills gradient flow and its extension to the fermion field provide a very general method to obtain renormalized observables in gauge theory. The method is applicable also with non-perturbative regularization such as lattice. The…

High Energy Physics - Lattice · Physics 2016-06-29 Hiroshi Suzuki

There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang-Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric…

High Energy Physics - Theory · Physics 2021-10-29 Kaushlendra Kumar , Olaf Lechtenfeld , Gabriel Picanço Costa

Perturbation theory can be reformulated as dynamical theory. Then a sequence of perturbative approximations is bijective to a trajectory of dynamical system with discrete time, called the approximation cascade. Here we concentrate our…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

The perturbation theory with a variational basis is constructed and analyzed.The generalized Gaussian effective potential is introduced and evaluated up to the second order for selfinteracting scalar fields in one and two spatial…

High Energy Physics - Theory · Physics 2014-11-18 Paolo Cea , Luigi Tedesco

An explicit canonical transformation is constructed to relate the physical subspace of Yang-Mills theory to the phase space of the ADM variables of general relativity. This maps 3+1 dimensional Yang-Mills theory to local evolution of…

High Energy Physics - Lattice · Physics 2009-10-31 Pushan Majumdar , H. S. Sharatchandra

The renormalization problem of (2+1)-dimensional Yang-Mills theory quantized on the light front is considered. Extra fields analogous to those used in Pauli-Villars regularization are introduced to restore perturbative equivalence between…

High Energy Physics - Theory · Physics 2016-09-26 M. Yu. Malyshev , S. A. Paston , E. V. Prokhvatilov , R. A. Zubov , V. A. Franke

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

We investigate the temporal Wilson loop using the Hamiltonian approach to Yang-Mills theory. In simple cases such as the Abelian theory or the non-Abelian theory in (1+1) dimensions, the known results can be derived using unitary…

High Energy Physics - Theory · Physics 2013-01-18 Markus Quandt , Hugo Reinhardt , Giuseppe Burgio

We perform the dual transformation of the Yang-Mills theory in d=3 dimensions using the Wilson action on the cubic lattice. The dual lattice is made of tetrahedra triangulating a 3-dimensional curved manifold but embedded into a flat…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Diakonov , Victor Petrov