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An explicit model of fiber bundle with local fibers being disinct copies of vector 3-space is introduced. They are endowed with frames which are used as local isotopic ones. The field local of isotopic frames is considered as gauge field…

dg-ga · Mathematics 2008-02-03 Z. Ya. Turakulov

Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised ("particle-like") solutions of the coupled Einstein Yang-Mills (EYM) equations with gauge group SU(2) have been known for more than 20…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Robert A. Bartnik , Mark Fisher , Todd A. Oliynyk

We present a numerical technique for calculating path integrals in non-compact U(1) and SU(2) gauge theories. The gauge fields are represented by a superposition of pseudoparticles of various types with their amplitudes and color…

High Energy Physics - Lattice · Physics 2007-05-23 Marc Wagner , Frieder Lenz

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

An SU(2) gauge theory is broken to U(1) by an adjoint scalar to produce magnetic monopoles. At a lower scale, this U(1) is further broken by a fundamental scalar to produce tubes of magnetic flux. We dualize the resulting theory to write an…

High Energy Physics - Theory · Physics 2010-04-15 Chandrasekhar Chatterjee , Amitabha Lahiri

Let A be the space of irreducible connections (vector potentials) over a SU(n)-principal bundle on a three-dimensional manifold M. Let T be the fiber product of the tangent and cotangent bundles of A. We endow T with a symplectic structure…

Symplectic Geometry · Mathematics 2018-03-20 Tosiaki Kori

The structure of the flux-tube profile in Abelian-projected (AP) SU(2) gauge theory in the maximally Abelian gauge is studied. The connection between the AP flux tube and the classical flux-tube solution of the U(1) dual Abelian Higgs (DAH)…

High Energy Physics - Lattice · Physics 2007-05-23 Y. Koma , M. Koma , E. -M. Ilgenfritz , T. Suzuki , M. I. Polikarpov

We investigate the quantum properties of the truly gauge-invariant and conserved charges of two-dimensional Yang-Mills theories, focusing on lattice QCD in the strong coupling regime. The construction of those charges uses the integral…

High Energy Physics - Lattice · Physics 2026-03-16 Paulo A. Faria da Veiga , Luiz A. Ferreira , Henrique Malavazzi , Ravi Mistry

We consider asymptotically flat static spherically symmetric black hole solutions in SU(N) Einstein-Yang-Mills theory. Embedding the N-dimensional representation of $su(2)$ in $su(N)$, the purely magnetic gauge field ansatz contains $N-1$…

High Energy Physics - Theory · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz , Abha Sood

In this paper we express the velocity dependent, spin dependent heavy quark potential $V_{q\bar q}$ in QCD in terms of a Wilson Loop $W(\Gamma)$ determined by pure Yang Mills theory. We use an effective dual theory of long-distance Yang…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Baker , J. S. Ball , N. Brambilla , G. M. Prosperi , F. Zachariasen

We study the black hole - black string phase transitions of gravitational theories compactified on a circle using the holographic duality conjecture. The gauge theory duals of these theories are maximally supersymmetric and strongly coupled…

High Energy Physics - Theory · Physics 2010-09-16 Simon Catterall , Anosh Joseph , Toby Wiseman

The Einstein-Proca system is studied in the case of a complex vector-field self-interacting through an appropriate potential with a global U(1) symmetry. The corresponding equations for a static, cylindrically symmetric metric and matter…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Y. Brihaye , Y. Verbin

We propose a Lorentz-covariant Yang-Mills spin-gauge theory, where the function valued Dirac matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$. After symmetry breaking a non-scalar…

General Relativity and Quantum Cosmology · Physics 2013-06-11 H. Dehnen , E. Hitzer

I adapt the Gauge String, representing the strong coupling (SC) expansion in the continuous D>=3 Yang-Mills theory (YM_{D}) with a sufficiently large bare coupling constant \lambda>\lambda_{cr} and a fixed ultraviolet cut off \Lambda, to…

High Energy Physics - Theory · Physics 2007-05-23 Andrey Yu. Dubin

The Einstein-Yang-Mills equations are the source of many interesting solutions within general relativity, including families of particle-like and black hole solutions, and critical phenomena of more than one type. These solutions,…

General Relativity and Quantum Cosmology · Physics 2018-08-27 Daniel Jackson

The compactification on a torus in $SU(\infty)$ Yang-Mills theory is considered. A special form of the configuration of a gauge field on a torus is examined. The vacuum energy and free energy in the presence of fermions coupled with this…

High Energy Physics - Theory · Physics 2013-01-29 Kiyoshi Shiraishi

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

In this paper we show that a particular twist of $\mathcal{N}=4$ super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the {\it complexified} gauge…

High Energy Physics - Lattice · Physics 2017-09-07 Simon Catterall

We propose new mechanism for inflation using classical SU(2) Yang-Mills (YM) homogeneous and isotropic field non-minimally coupled to gravity via Horndeski prescription. This is the unique generally and gauge covariant ghost-free YM theory…

High Energy Physics - Theory · Physics 2016-01-26 E. Davydov , D. Gal'tsov

We calculate, numerically, the low-lying spectrum of closed confining flux tubes that carry flux in different representations of SU(N). We do so for SU(6) at beta=171, where the calculated low-energy physics is very close to the continuum…

High Energy Physics - Lattice · Physics 2015-06-15 Andreas Athenodorou , Michael Teper
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