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Related papers: New vortex solution in SU(3) gauge-Higgs theory

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We study an extension of the Minimal Supersymmetric Standard Model with a gauge group $SU(2)_1\otimes SU(2)_2$ breaking to $SU(2)_L$. The extra wino has an enhanced gauge coupling to the SM-like Higgs boson and, if light, has a relevant…

High Energy Physics - Phenomenology · Physics 2013-03-27 Ran Huo , Gabriel Lee , Arun M. Thalapillil , Carlos E. M. Wagner

We develop numerical tools and apply them to solve the relativistic Yang--Mills--Higgs equations in a model where the SU(N) symmetry is spontaneously broken to its center. In SU(2) and SU(3), we obtain the different field profiles for…

High Energy Physics - Theory · Physics 2017-02-01 L. E. Oxman , D. Vercauteren

We describe classical solutions to the Minkowski space equations of motion of SU(2) gauge theory coupled to a Higgs field in the spatial spherical ansatz. We show how to reduce the equations to four equations for four gauge invariant…

High Energy Physics - Phenomenology · Physics 2012-08-27 Edward Farhi , Krishna Rajagopal , Robert Singleton,

We study properties of Z-vortices in the crossover region of the 3D SU(2) Higgs model. Correlators of the vortex currents with gauge field energy and Higgs field squared ("quantum vortex profile") reveal a structure that can be compared…

High Energy Physics - Lattice · Physics 2007-05-23 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kaehler manifolds of the form M x SU(3)/H, with H = SU(2) x U(1) or H = U(1) x U(1). The induced rank two quiver gauge theories on M are worked out in detail for…

High Energy Physics - Theory · Physics 2008-11-26 Olaf Lechtenfeld , Alexander D. Popov , Richard J. Szabo

In this paper, we study on the one-plus-half monopole configuration in SU(2) Yang-Mills-Higgs theory when the $\phi$-winding number, $n$, runs from 2 to 4 and for a range of Higgs coupling constant, $\lambda_b \leq \lambda \leq 40$, where…

High Energy Physics - Theory · Physics 2021-07-12 Dan Zhu , Khai-Ming Wong , Timothy Tie , Guo-Quan Wong

We gauge fix 600 SU(3) beta=6.0 configurations on a 16^4 lattice to a simple form of the maximal abelian gauge. We project the SU(3) valued links to the U(1)xU(1) subgroup, and extract U(1)xU(1) and monopole string tensions. After gauge…

High Energy Physics - Lattice · Physics 2007-05-23 William W. Tucker , John D. Stack

We present a series of existence theorems for multiple vortex solutions in the Gudnason model of the ${\cal N}=2$ supersymmetric field theory where non-Abelian gauge fields are governed by the pure Chern--Simons dynamics at dual levels and…

Analysis of PDEs · Mathematics 2021-01-28 Xiaosen Han , Chang-Shou Lin , Gabriella Tarantello , Yisong Yang

We report on calculations of the heavy quark potential in SU(3) lattice gauge theory. Full SU(3) results are compared to three cases which involve gauge-fixing and projection. All of these start from the maximal abelian gauge (MAG), in its…

High Energy Physics - Lattice · Physics 2015-06-25 John D. Stack , William W. Tucker , Roy J. Wensley

For the study of topological vortices with non-minimal coupling, we built a kind of non-canonical O(3)-sigma model, with a Maxwell term modified by a dielectric function. Through the BPS formalism, an investigation is made on possible…

High Energy Physics - Theory · Physics 2022-04-27 F. C. E. Lima , C. A. S. Almeida

Scalar electrodynamics can be used to investigate the formation of cosmic strings in the early universe. We present the results of lattice Monte Carlo simulations of an effective three-dimensional U(1)+Higgs theory that describes the…

High Energy Physics - Lattice · Physics 2007-05-23 A. Rajantie , K. Kajantie , M. Karjalainen , M. Laine , J. Peisa

Some exact static solutions of the SU(2) Yang-Mills-Higgs theory are presented. These solutions satisfy the first order Bogomol'nyi equations, and possess infinite energies. They are axially symmetric and could possibly represent monopoles…

High Energy Physics - Theory · Physics 2009-10-31 Rosy Teh

We consider static axially symmetric solutions of SU(2) Yang-Mills-Higgs theory. The simplest such solutions represent monopoles, multimonopoles and monopole-antimonopole pairs. In general such solutions are characterized by two integers,…

High Energy Physics - Theory · Physics 2009-11-10 Burkhard Kleihaus , Jutta Kunz , Yasha Shnir

We study a $U(1) \times U(1)$ gauge theory discussing its vortex solutions and supersymmetric extension. In our set-upon the dynamics of one of two Abelian gauge fields is governed by a Maxwell term, the other by a Chern-Simons term. The…

High Energy Physics - Theory · Physics 2016-12-21 Edwin Ireson , Fidel A. Schaposnik , Gianni Tallarita

We discuss static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory for large scalar coupling. These regular asymptotically flat solutions represent monopole-antimonopole chain and vortex ring solutions, as well as new…

High Energy Physics - Theory · Physics 2008-11-26 Jutta Kunz , Ulrike Neemann , Yasha Shnir

The static vortex solution in Abelian Higgs model with small ratio of vector and Higgs particle masses is considered. Several formulae approximating this solution are discussed. The accuracy of these approximations is tested by numerical…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Karkowski , Z. Swierczynski

The low energy dynamics of vortices in selfdual Abelian Higgs theory is of second order in vortex velocity and characterized by the moduli space metric. When Chern-Simons term with small coefficient is added to the theory, we show that a…

High Energy Physics - Theory · Physics 2009-11-07 Yoonbai Kim , Kimyeong Lee

Recently there has been renewed interest in the possibility that the Higgs particle of the Standard Model is a pseudo-Nambu-Goldstone boson. This development was spurred by the observation that if certain global symmetries are broken only…

High Energy Physics - Phenomenology · Physics 2009-11-11 Martin Schmaltz , David Tucker-Smith

We extend the dimensional deconstruction by utilizing the knowledge of graph theory. In the dimensional deconstruction, one uses the moose diagram to exhibit the structure of the `theory space'. We generalize the moose diagram to a general…

High Energy Physics - Theory · Physics 2009-08-18 Nahomi Kan , Koichiro Kobayashi , Kiyoshi Shiraishi

Three dimensional SU(2) lattice gauge theory is studied after eliminating thin monopoles and the smallest thick monopoles. Kinematically this constraint allows the formation of thick vortex loops which produce Z(2) fluctuations at longer…

High Energy Physics - Lattice · Physics 2007-05-23 Srinath Cheluvaraja