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An exact solution for an SU(2) Yang-Mills field coupled to a scalar field is given. This solution has potentials with a linear and Coulomb part. This may have some physical importance since many phenomenological QCD studies assume a linear…

High Energy Physics - Theory · Physics 2009-10-28 Douglas Singleton , Atsushi Yoshida

We give a proof of perturbative renormalizability of SU(2) Yang--Mills theory in four-dimensional Euclidean space which is based on the Flow Equations of the renormalization group. The main motivation is to present a proof which does not…

Mathematical Physics · Physics 2017-10-11 Alexander N. Efremov , Riccardo Guida , Christoph Kopper

We study the Yang-Mills-Higgs system within the framework of general relativity. In the static situation, using Bogomol'nyi type analysis, we derive a positive-definite energy functional which has a lower bound. Specializing to the gauge…

High Energy Physics - Phenomenology · Physics 2010-11-01 Nguyen Ai Viet , Kameshwar C. Wali

An unusual four-dimensional generally covariant and supersymmetric SU(2) gauge theory is described. The theory has propagating degrees of freedom, and is invariant under a local (left-handed) chiral supersymmetry, which is half the…

High Energy Physics - Theory · Physics 2009-10-30 Viqar Husain

We make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities…

High Energy Physics - Theory · Physics 2019-02-20 A. N. Efremov

We investigate the tachyon coupling in a static Robertson--Walker like metric background. For a tachyon and dilaton field which are only time dependent one can rewrite this model as a SU(2) Wess--Zumino--Witten model and a scalar…

High Energy Physics - Theory · Physics 2009-10-22 K. Behrndt

We consider supersymmetric Yang-Mills theory on R x S^1 x S^1. In particular, we choose one of the compact directions to be light-like and another to be space-like. Since the SDLCQ regularization explicitly preserves supersymmetry, this…

High Energy Physics - Theory · Physics 2009-10-31 Paul Haney , John R. Hiller , Oleg Lunin , Stephen Pinsky , Uwe Trittmann

Monopole solutions in SU(2) Yang-Mills theory which includes spinor fields described by the nonlinear Dirac equation are obtained. It is demonstrated that the energy spectrum of such a system possesses a global minimum whose appearance is…

High Energy Physics - Phenomenology · Physics 2020-05-22 Vladimir Dzhunushaliev , Vladimir Folomeev , Albina Serikbolova

A four-dimensional ${\rm SU}(4)$ confining Yang-Mills field, coupled to a fundamental fermion field and a bi-fundamental scalar field, has excitations with spin-2, but no other quantum numbers. These spin-2 excitations can be light or can…

High Energy Physics - Theory · Physics 2021-01-08 Peter Orland

We present a lattice study of the equation of state in Yang-Mills theory based on the exceptional G(2) gauge group. As is well-known, at zero temperature this theory shares many qualitative features with real-world QCD, including the…

High Energy Physics - Lattice · Physics 2015-03-16 Mattia Bruno , Michele Caselle , Marco Panero , Roberto Pellegrini

I put forward the stringy representation of the 1/N strong coupling (SC) expansion for the regularized Wilson's loop-averages in the continuous D>=3 Yang-Mills theory (YM_{D}) with a sufficiently large bare coupling constant…

High Energy Physics - Theory · Physics 2009-11-07 Andrey Yu. Dubin

We discuss homogeneous and isotropic cosmological models driven by SU(2) gauge fields in the framework of Einstein gravity. There exists a Yang-Mills field configuration, parametrized by a single scalar function, which consists of parallel…

High Energy Physics - Theory · Physics 2015-06-03 D. V. Gal'tsov , E. A. Davydov

In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin and the charge of the gauge field can become separated from each other. The ensuing field variables describe the interacting dynamics between a version of the…

High Energy Physics - Theory · Physics 2008-11-26 Ludvig D. Faddeev , Antti J. Niemi

We extend the relation between instanton and monopole solutions of the selfduality equations in SU(2) gauge theory to noncommutative space-times. Using this approach and starting from a noncommutative multi-instanton solution we construct a…

High Energy Physics - Theory · Physics 2009-11-10 D. H. Correa , P. Forgacs , E. F. Moreno , F. A. Schaposnik , G. A. Silva

SU(2) Yang-Mills field theory is considered in the framework of the generalized Hamiltonian approach and the equivalent unconstrained system is obtained using the method of Hamiltonian reduction. A canonical transformation to a set of…

High Energy Physics - Theory · Physics 2010-11-19 A. M. Khvedelidze , H. -P. Pavel

A spherically symmetric monopole solution is found in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski spacetime. The action of the Yang-Mills fields is quartic in field strengths. The…

High Energy Physics - Theory · Physics 2011-01-25 Hironobu Kihara , Yutaka Hosotani , Muneto Nitta

Monopoles in topologically massive gauge theories in 2+1 dimensions with a Chern-Simon mass term have been studied by Pisarski some years ago. He investigated the SU(2) Yang-Mills-Higgs model with an additional Chern-Simon mass term in the…

High Energy Physics - Theory · Physics 2015-05-18 Rosy Teh , Khai-Ming Wong , Pin-Wai Koh

We discuss a unified model of quark confinement and new cosmic expansion with linear potentials based on a general $(SU_3)_{color} \times (U_1)_{baryon}$ symmetry. The phase functions in the usual gauge transformations are generalized to…

General Physics · Physics 2018-03-12 Jong-Ping Hsu

We simulate a supersymmetric matrix model obtained from dimensional reduction of 4d SU(N) super Yang-Mills theory. The model is well defined for finite N and it is found that the large N limit obtained by keeping g^2 N fixed gives rise to…

High Energy Physics - Theory · Physics 2007-05-23 J. Ambjorn , K. N. Anagnostopoulos , W. Bietenholz , T. Hotta , J. Nishimura

We construct sequences of axially symmetric multisphaleron solutions in SU(2) Yang-Mills-dilaton theory. The sequences are labelled by a winding number $n>1$. For $n=1$ the known sequence of spherically symmetric sphaleron solutions is…

High Energy Physics - Theory · Physics 2014-11-18 Burkhard Kleihaus , Jutta Kunz