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An explicit realization of 't Hooft's loop operator in continuum Yang-Mills theory is given.

High Energy Physics - Theory · Physics 2009-11-07 H. Reinhardt

Review of the papers on the new method of the Yang-Mills field quantization applicable both in perturbation theory and beyond it is presented. It is shown that in the modified formulation of the Yang-Mills theory leading to the formal…

High Energy Physics - Theory · Physics 2015-03-13 A. A. Slavnov

Several exact, cylindrically symmetric solutions to Einstein's vacuum equations are given. These solutions were found using the connection between Yang-Mills theory and general relativity. Taking known solutions of the Yang-Mills equations…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Douglas Singleton

The classical action for pure Yang--Mills gauge theory can be formulated as a deformation of the topological $BF$ theory where, beside the two-form field $B$, one has to add one extra-field $\eta$ given by a one-form which transforms as the…

High Energy Physics - Theory · Physics 2008-11-26 A. S. Cattaneo , P. Cotta-Ramusino , F. Fucito , M. Martellini , M. Rinaldi , A. Tanzini , M. Zeni

We construct static solutions to a SU(2) Yang--Mills (YM) dilaton model in 4+1 dimensions subject to bi-azimuthal symmetry. The YM sector of the model consists of the usual YM term and the next higher order term of the YM hierarchy, which…

High Energy Physics - Theory · Physics 2008-11-26 Eugen Radu , Ya. Shnir , D. H. Tchrakian

We present decoupled, separable forms of the linearized Einstein equations sourced by a string trailing behind an external quark moving through a thermal state of N=4 super-Yang-Mills theory. We solve these equations in the approximations…

High Energy Physics - Theory · Physics 2008-11-26 Steven S. Gubser , Silviu S. Pufu

We describe the structure of string vacuum states in the supersymmetric matrix model for M theory compactified on a circle in the large-N limit. We show that the theory admits topological instanton field configurations which at…

High Energy Physics - Theory · Physics 2009-10-30 Ian I. Kogan , Richard J. Szabo

Above Planck energies, the spacetime might become non--Riemannian, as it is known fron string theory and inflation. Then geometries arise in which nonmetricity and torsion appear as field strengths, side by side with curvature. By gauging…

General Relativity and Quantum Cosmology · Physics 2016-08-15 José Socorro , Claus Lämmerzahl , Alfredo Macías , Eckehard W. Mielke

We present a brief review of the cohomological solutions of self-coupling interactions of the fields in the free Yang-Mills theory. All consistent interactions among the fields have been obtained using the antifield formalism through…

General Physics · Physics 2017-07-20 A. Danehkar

A general procedure to reveal an Abelian structure of Yang-Mills theories by means of a (nonlocal) change of variables, rather than by gauge fixing, in the space of connections is proposed. The Abelian gauge group is isomorphic to the…

High Energy Physics - Theory · Physics 2009-10-31 Sergei V. Shabanov

We show that double field theory arises from the color-kinematic double copy of Yang-Mills theory. A precise double copy prescription for the Yang-Mills action at quadratic and cubic order is provided that yields the double field theory…

High Energy Physics - Theory · Physics 2022-03-02 Felipe Diaz-Jaramillo , Olaf Hohm , Jan Plefka

We show how to formulate Yang-Mills Theory in \m{2+1} dimensions as a hamitonian system within a simplicial regularization and construct its quantization, with special attention to the mass gap. An approximate conformal invariance of the…

High Energy Physics - Theory · Physics 2017-08-23 S. G. Rajeev

The solution of symmetry equation of Yang-Mills self dual system is found in explicit form of its raising Hamiltonian operator. Thus explicit form of equations of self dual Yang Mills hierarchy is constructed.

High Energy Physics - Lattice · Physics 2008-02-12 A. N. Leznov

Witten has recently proposed a string theory in twistor space whose D-instanton contributions are conjectured to compute N=4 super-Yang-Mills scattering amplitudes. An alternative string theory in twistor space was then proposed whose open…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Berkovits , Lubos Motl

We compute the ultraviolet divergences in the self-dual Yang-Mills theory, both in the purely perturbative (zero instanton charge) and topologically non-trivial sectors. It is shown in particular that the instanton measure is precisely the…

High Energy Physics - Theory · Physics 2018-02-23 Andrey Losev , Igor Polyubin , Alexei Rosly

In this letter, an alternative string theory in twistor space is proposed for describing perturbative N=4 super-Yang-Mills theory. Like the recent proposal of Witten, this string theory uses twistor worldsheet variables and has manifest…

High Energy Physics - Theory · Physics 2009-11-10 Nathan Berkovits

This partially expository paper provides a view of Yang-Mills equations from the perspective of complex variables, operator theory, and $C^{*}$-algebras. Through operator-valued pluriharmonic and skew-Hermitian differential forms, it…

Mathematical Physics · Physics 2024-06-19 Marius Beceanu , Sachin Munshi , Rongwei Yang

Yang-Mills theory in 2+1 dimensions showed to be a research area yielding firm results in theoretical physics when compared to lattice computations. Recent analysis displayed astonishing agreement for the value of the string tension and…

High Energy Physics - Phenomenology · Physics 2014-08-26 Marco Frasca

We compute one-loop amplitudes in six-dimensional Yang-Mills theory with half-maximal supersymmetry from first principles: imposing gauge invariance and locality on an ansatz made from string-theory inspired kinematic building blocks yields…

High Energy Physics - Theory · Physics 2017-09-13 Marcus Berg , Igor Buchberger , Oliver Schlotterer

We construct monopole-antimonopole chain and vortex solutions in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are static, axially symmetric and asymptotically flat. They are characterized by two integers (m,n) where m…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Burkhard Kleihaus , Jutta Kunz , Yasha Shnir
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