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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 paper we study the n-point correlation functions of two different families of local gauge invariant operators in N=4 supersymmetric Yang-Mills theory. The main idea is to consider the correlation functions of operators which all…

High Energy Physics - Theory · Physics 2009-04-17 Nadav Drukker , Jan Plefka

We propose a new version of SU(N) Yang-Mills theory reformulated in terms of new field variables which are obtained by a nonlinear change of variables from the original Yang-Mills gauge field. The reformulated Yang-Mills theory enables us…

High Energy Physics - Theory · Physics 2008-11-26 Kei-Ichi Kondo , Toru Shinohara , Takeharu Murakami

Quantization of two-dimensional Yang-Mills theory on a torus in the gauge where the field strength is diagonal leads to twisted sectors that are completely analogous to the ones that originate long string states in Matrix String Theory. If…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'Adda , P. Provero

We compute here the Yang-Mills effective action on Moyal space by integrating over the scalar fields in a noncommutative scalar field theory with harmonic term, minimally coupled to an external gauge potential. We also explain the special…

High Energy Physics - Theory · Physics 2008-12-11 Axel de Goursac

A gauge transformation provided by the three eigenfunctions of $\B^a(x) \cdot \B^b(x)$ (where $\B^a(x)$, with a=1,2,3, are the non-Abelian magnetic fields) exposes the topological configurations of the Yang-Mills fields. In particular, it…

High Energy Physics - Theory · Physics 2008-11-19 Indrajit Mitra , H. S. Sharatchandra

We propose a new field-theoretic framework for formulating the non-relativistic quantum mechanics of D particles in a Fock space of U(N) Yang-Mills theories with all different N in a unified way. D-particle field operators, creating and…

High Energy Physics - Theory · Physics 2009-01-28 Tamiaki Yoneya

Yang-Mills theory can be formulated for any semi-simple Lie algebra, and thus any semi-simple Lie group. In principle, the dynamics could be different for each one. However, functional studies predict that the propagators in Landau gauge…

High Energy Physics - Lattice · Physics 2011-03-18 Axel Maas

The extended Yang-Mills gauge theory in Euclidean space is a renormalizable (by power counting) gauge theory describing a local interacting theory of scalar, vector, and tensor gauge fields (with maximum spin 2). In this article we study…

High Energy Physics - Theory · Physics 2011-07-19 E. Gabrielli

For semisimple groups, possibly multiplied by U(1)'s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for non-semisimple groups, the number of Yang-Mills fields can…

High Energy Physics - Theory · Physics 2009-11-07 Jean Nuyts , Tai Tsun Wu

We construct the gauge-invariant electric and magnetic charges in Yang-Mills theory coupled to cosmological General Relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser. For…

High Energy Physics - Theory · Physics 2021-07-29 Emel Altas , Ercan Kilicarslan , Bayram Tekin

We show that two-dimensional SO(N) and Sp(N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold M can be…

High Energy Physics - Theory · Physics 2010-11-01 S. G. Naculich , H. A. Riggs , H. J. Schnitzer

We consider noncommutative {\cal N}=4 supersymmetric U(N) Yang-Mills theory. Using the {\cal N}=1 superfield formalism and the background field method we compute one-loop four point contributions to the effective action and compare the…

High Energy Physics - Theory · Physics 2009-10-31 Daniela Zanon

${\cal N}=4$ Super Yang-Mills theory is a highly constrained theory, and therefore a valuable tool to test the understanding of less constrained Yang-Mills theories. Our aim is to use it to test our understanding of both the Landau gauge…

High Energy Physics - Phenomenology · Physics 2016-03-09 Axel Maas , Stefan Zitz

Integrating out fast varying quantum fluctuations about Yang--Mills fields A_i and A_4, we arrive at the effective action for those fields at high temperatures. Assuming that the fields A_i and A_4 are slowly varying but that the amplitude…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Diakonov , M. Oswald

Building on our proposal in arXiv:2405.06629, we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for sub$^n$-leading soft…

High Energy Physics - Theory · Physics 2024-11-01 Silvia Nagy , Javier Peraza , Giorgio Pizzolo

We consider a Yang--Mills theory in loop space whose gauge group is a Kac--Moody group with the central extension. From this theory, we derive a local field theory constructed of Yang--Mills fields and abelian antisymmetric and symmetric…

High Energy Physics - Theory · Physics 2015-06-26 Shinichi Deguchi , Tadahito Nakajima

In this letter we establish Yangian symmetry of planar N=4 super-Yang-Mills theory. We prove that the classical equations of motion of the model close onto themselves under the action of Yangian generators. Moreover we propose an off-shell…

High Energy Physics - Theory · Physics 2017-04-13 Niklas Beisert , Aleksander Garus , Matteo Rosso

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 extend a well-known D-brane construction of the AdS/dCFT correspondence to non-abelian defects. We focus on the bulk side of the correspondence and show that there exists a regime of parameters in which the low-energy description…

High Energy Physics - Theory · Physics 2017-08-02 Sophia K. Domokos , Andrew B. Royston