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The variables appropriate for the infrared limit of unconstrained SU(2) Yang-Mills field theory are obtained in the Hamiltonian formalism. It is shown how in the infrared limit an effective nonlinear sigma model type Lagrangian can be…

High Energy Physics - Theory · Physics 2007-05-23 A. M. Khvedelidze , H. -P. Pavel

The classical solutions to higher dimensional Yang--Mills (YM) systems, which are integral parts of higher dimensional Einstein--YM (EYM) systems, are studied. These are the gravity decoupling limits of the fully gravitating EYM solutions.…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , D. H. Tchrakian

Exploiting the formulation of the Self Dual Yang-Mills equations as a Riemann-Hilbert factorization problem, we present a theory of pulling back soliton hierarchies to the Self Dual Yang-Mills equations. We show that for each map $ \C^4 \to…

High Energy Physics - Theory · Physics 2009-10-22 Jacek Szmigielski

The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for SO(N) and Sp(N) is evaluated in the 1/N expansion using the techniques of Gross and Matytsin. Many features of Yang-Mills theory are universal…

High Energy Physics - Theory · Physics 2009-10-30 M. Crescimanno , S. G. Naculich , H. J. Schnitzer

Recently developed chiral nucleon-nucleon (NN) forces at next-to-leading order (NLO) that describe NN phase shifts up to about 100 MeV fairly well have been applied to 3N and 4N systems. Faddeev-Yakubovsky equations have been solved…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Glöckle , Ulf-G. Meißner

We consider N=4 supersymmetric Yang-Mills theory formulated in terms of N=2 superfields in harmonic superspace. Using the background field method we define manifestly gauge invariant and N=2 supersymmetric effective action depending on N=2…

High Energy Physics - Theory · Physics 2015-06-26 I. L. Buchbinder

In this paper, we investigate two types of $U(1)$-gauge field theories on $G_2$-manifolds. One is the $U(1)$-Yang-Mills theory which admits the classical instanton solutions, we show that $G_2$-manifolds emerge from the anti-self-dual…

Mathematical Physics · Physics 2022-01-06 Zhi Hu , Runhong Zong

By doing a small $c$ (speed of light) expansion of $SU(N)$ Yang-Mills fields, we construct two different electric and two different magnetic sectors actions of Carrollian Yang-Mills theory. For both electric and magnetic cases, one sector…

High Energy Physics - Theory · Physics 2023-06-14 Minhajul Islam

We find the gravity solution corresponding to a large number of NS or D fivebranes wrapped on a two sphere so that we have pure ${\cal N}=1$ super Yang-Mills in the IR. The supergravity solution is smooth, it shows confinement and it breaks…

High Energy Physics - Theory · Physics 2009-10-31 Juan M. Maldacena , Carlos Nunez

We find a three-parameter family of solutions to IIB supergravity that corresponds to N=1 supersymmetric holographic RG flows of N=4 supersymmetric Yang Mills theory. This family of solutions allows one to give a mass to a single chiral…

High Energy Physics - Theory · Physics 2009-11-07 Alexei Khavaev , Nicholas P. Warner

We demonstrate that all gauge instantons in a $d=3+1$ Yang-Mills theory, with generic topological vacuum charge K, correspond to soliton solutions and kink scalar fields in $d=4+1$ space-time.

High Energy Physics - Theory · Physics 2017-01-04 Andrea Addazi

In this paper we compute classical Minkowsky spacetime solutions of pure SU(2) and SU(3) gauge theories, in Landau gauge. The solutions are regular everywhere except at the origin and/or infinity, are characterized by a four momentum $k$…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Oliveira , R. A. Coimbra

We argue that two dimensional classical SU(2) Yang-Mills theory describes the embedding of Riemann surfaces in three dimensional curved manifolds. Specifically, the Yang-Mills field strength tensor computes the Riemannian curvature tensor…

High Energy Physics - Theory · Physics 2009-11-10 Antti J. Niemi

This doctoral work deals with the analysis of some Yang-Mills solutions on 4-dimensional de Sitter space d$S_4$. The conformal equivalence of this space with a finite Lorentzian cylinder over the 3-sphere and also with parts of Minkowski…

High Energy Physics - Theory · Physics 2022-08-12 Kaushlendra Kumar

Local solutions of the static, spherically symmetric Einstein-Yang-Mills (EYM) equations with SU(2) gauge group are studied on the basis of dynamical systems methods. This approach enables us to classify EYM solutions in the origin…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Yu. Zotov

We consider an Einstein-Yang-Mills Lagrangian in a five dimensional space-time including a cosmological constant. Assuming all fields to be independent of the extra coordinate, a dimensional reduction leads to an effective (3+1)-dimensional…

High Energy Physics - Theory · Physics 2010-11-19 Betti Hartmann , Yves Brihaye , Bruno Bertrand

Previous results on multi-charged Baby Skyrmion solutions have pointed to a modular structure, comprised of charge two rings and single charge one Skyrmions, which combine to form higher charged structures. In this paper we present…

High Energy Physics - Theory · Physics 2015-05-13 D. J. Foster

Using the symmetry reductions of the self-dual Yang-Mills (SDYM) equations in (2+2) dimensions, we introduce new integrable equations which are nonautonomous versions of the chiral model in (2+1) dimensions, generalized nonlinear…

High Energy Physics - Theory · Physics 2009-10-28 T. A. Ivanova , A. D. Popov

We consider $4D$, $\mathcal{N}=4$, $SU(N)$ super Yang-Mills theory formulated in terms of $\mathcal{N}=1$ superfields where the leading low-energy contributions to effective action are given by chiral effective potential. This effective…

High Energy Physics - Theory · Physics 2026-02-10 I. L. Buchbinder , R. M. Iakhibbaev , D. I. Kazakov , A. I. Mukhaeva , D. M. Tolkachev

Classical vacuum - pure gauge - solutions of Euclidean two-dimensional SU(2) Yang-Mills theories are studied. Topologically non-trivial vacua are found in a class of gauge group elements isomorphic to $S_2$. These solutions are unexpectedly…

High Energy Physics - Theory · Physics 2009-10-30 A. Bassetto , G. Nardelli