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We propose a phenomenological solution to the Electroweak hierarchy problem. It predicts no new particles beyond those in the Standard Model. The Higgs is arbitrarily massive and slow-roll inflation can be implemented naturally. Loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Goldman , Michael Martin Nieto

At high temperatures the A_0 component of the Yang--Mills field plays the role of the Higgs field, and the 1-loop potential V(A_0) plays the role of the Higgs potential. We find a new stable vortex solution of the Abrikosov-Nielsen-Olesen…

High Energy Physics - Theory · Physics 2016-09-06 Dmitri Diakonov

In this work, we construct a double O(3)-sigma model minimally coupled to a Maxwell field in (2+1)-dimensional spacetime and investigate the existence of self-dual magnetic vortex solutions. An analysis of the Bogomol'nyi-Prasad-Sommerfield…

High Energy Physics - Theory · Physics 2026-05-01 Francisco C. E. Lima , Fernando M. Belchior , Allan R. P. Moreira

Self-dual abelian Higgs system, involving both the Maxwell and Chern-Simons terms are obtained from Carroll-Field-Jackiw theory by dimensional reduction. Bogomol'nyi-type equations are studied from theoretical and numerical point of view.…

High Energy Physics - Theory · Physics 2013-09-30 Rodolfo Casana , Lucas Sourrouille

In this study, we develop a simplified magnetofluid model in the framework of GRMHD. We consider an ideal, adiabatic fluid composed of two components, ions and electrons, having a constant ratio between their temperatures. The flows are…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Yehui Hou , Zhenyu Zhang , Minyong Guo , Bin Chen

The stability of an abelian (Nielsen-Olesen) vortex embedded in the electroweak theory against W production is investigated in a gauge defined by the condition of a single-component Higgs field. The model is characterized by the parameters…

High Energy Physics - Phenomenology · Physics 2007-05-23 Samuel W. MacDowell , Ola Törnkvist

Local correlations of Z-vortex operators with gauge and Higgs fields (lattice quantum vortex profiles) as well as vortex two-point functions are studied in the crossover region near a Higgs mass of 100 GeV within the 3D SU(2) Higgs model.…

High Energy Physics - Lattice · Physics 2015-06-25 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We study the stability properties of the twisted vortex solutions in the semilocal Abelian Higgs model with a global $\mathbf{SU}(2)$ invariance. This model can be viewed as the Weinberg-Salam theory in the limit where the non-Abelian gauge…

High Energy Physics - Theory · Physics 2008-11-26 Julien Garaud , Mikhail S. Volkov

The interaction of a magnetic flux vortex with weak external fields is considered in the framework of the Abelian Higgs model. The approach is based on the calculation of the zero-mode excitation probability in the external field. The…

High Energy Physics - Theory · Physics 2009-11-10 Yasha Shnir

It is shown that a gauged nonlinear $O(3)$ sigma model with anomalous magnetic moment interaction in $2+1$ dimensions is exactly integrable for static, self-dual field configurations. The matter fields are exactly equivalent to those of the…

High Energy Physics - Theory · Physics 2009-10-30 Pijush K. Ghosh

The vortex solutions of various classical planar field theories with (Abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term.…

High Energy Physics - Theory · Physics 2015-05-13 Peter A. Horvathy , Pengming Zhang

We consider a system of nonlinear equations that extends the Maxwell theory. It was pointed out in a previous paper that symmetric solutions of these equations display properties characteristic of magnetic oscillations. In this paper I…

Superconductivity · Physics 2007-05-23 Artur Sowa

Vortices produce locally concentrated field configurations and are solutions to the nonlinear partial differential equations systems of complicated structures. In this paper, we establish the existence and uniqueness for solutions of the…

Analysis of PDEs · Mathematics 2024-05-31 Yilu Xu , Shouxin Chen

In this note we research the Abelian Higgs model subject to the Born-Infeld theory of electrodynamics for which the BPS equations can be reduced into a quasi-linear differential equation. We show that the equation exists a unique solution…

Mathematical Physics · Physics 2023-07-14 Lei Cao , Xiao Chen

We present some non-topological static wall solutions in two-Higgs extensions of the standard model. They are classically stable in a large region of parameter space, compatible with perturbative unitarity and with present phenomenological…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. Bachas , T. N. Tomaras

It is well known that the presence of multiple constraints of non-Abelian relativisitic Chern--Simons--Higgs vortex equations makes it difficult to develop an existence theory when the underlying Cartan matrix $K$ of the equations is that…

Mathematical Physics · Physics 2017-09-14 Xiaosen Han , Chang-Shou Lin , Yisong Yang

We investigate the flux-tube joining two equal and opposite electric charges using the dual Ginzburg-Landau model of superconductivity. The model is supplemented with an additional scalar field carrying a non-Abelian global symmetry, broken…

High Energy Physics - Theory · Physics 2017-12-27 Gianni Tallarita , Adam Peterson

We investigate the presence of vortex configurations in generalized Maxwell-Chern-Simons models with nonminimal coupling, in which we introduce a function that modifies the dynamical term of the scalar field in the Lagrangian. We first…

High Energy Physics - Theory · Physics 2020-09-09 I. Andrade , D. Bazeia , M. A. Marques , R. Menezes

In gauge theories with an extended Higgs sector the classical equations of motion can have solutions that describe stable, closed finite energy vortices. Such vortices separate two disjoint Higgs vacua, with one of the vacua embedded in the…

High Energy Physics - Theory · Physics 2007-05-23 Antti J. Niemi , Kaupo Palo , Sami Virtanen

We construct the general vortex solution in a fully-Higgsed, color-flavor locked vacuum of a non-Abelian gauge theory, where the gauge group is taken to be the product of an arbitrary simple group and U(1), with a Fayet-Iliopoulos term. The…

High Energy Physics - Theory · Physics 2017-08-23 Walter Vinci