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I discuss in these lectures vortex-like classical solutions to the equations of motion of gauge theories with spontaneous symmetry breaking. Starting from the Nielsen-Olesen ansatz for the Abelian Higgs model, extensions to the case in…

High Energy Physics - Theory · Physics 2007-05-23 F. A. Schaposnik

The cosmological solution with a long-term bouncing off time is presented. The solution has a preceding contracting and a subsequent expanding phases and between them there exists a bouncing off phase with arbitrary time duration.

General Relativity and Quantum Cosmology · Physics 2009-12-13 V. Dzhunushaliev , K. Myrzakulov , R. Myrzakulov

We derive, in 2+1 dimensions, classical solutions for metric and motion of two or more spinning particles, in the conformal Coulomb gauge introduced previously. The solutions are exact in the $N$-body static case, and are perturbative in…

High Energy Physics - Theory · Physics 2009-10-30 M. Ciafaloni , P. Valtancoli

Scattering methods make it possible to compute the effects of renormalized quantum fluctuations on classical field configurations. As a classic example of a topologically nontrivial classical solution, the Abrikosov-Nielsen-Olesen vortex in…

High Energy Physics - Theory · Physics 2024-01-25 N. Graham , H. Weigel

We study whether the relaxion mechanism solves the Higgs hierarchy problem against a high scale inflation or a high reheating temperature. To accomplish the mechanism, we consider the scenario that the Higgs vacuum expectation value is…

High Energy Physics - Phenomenology · Physics 2017-01-18 Tetsutaro Higaki , Naoyuki Takeda , Yusuke Yamada

We study vortex-like solutions to the Lifshitz-Chern-Simons theory. We find that such solutions exists and have a logarithmically divergent energy, which suggests that a Kostelitz-Thouless transition may occur, in which voxtex-antivortex…

Strongly Correlated Electrons · Physics 2015-03-20 Ignacio Salazar Landea , Nicolas Grandi , Guillermo A. Silva

Vortex configurations in the electroweak gauge theory are investigated. Two gauge-inequivalent solutions of the field equations, the Z and W vortices, have previously been found. They correspond to embeddings of the abelian Nielsen-Olesen…

High Energy Physics - Phenomenology · Physics 2009-10-28 Samuel W. MacDowell , Ola Törnkvist

We look for three dimensional vortex-solutions, which have finite energy and are stationary solutions, of Klein-Gordon-Maxwell-Proca type systems of equations. We prove the existence of three dimensional cylindrically symmetric…

Analysis of PDEs · Mathematics 2017-05-24 Pietro d'Avenia , Jarosław Mederski , Alessio Pomponio

We calculate quantum corrections to the mass of the vortex in N=2 supersymmetric abelian Higgs model in (2+1) dimensions. We put the system in a box and apply the zeta function regularization. The boundary conditions inevitably violate a…

High Energy Physics - Theory · Physics 2010-05-27 D. V. Vassilevich

We consider an Abelian Gauge Theory in R4 equipped with the Minkowski metric. This theory leads to a system of equations, the Klein-Gordon- Maxwell equations, which provide models for the interaction between the electromagnetic field and…

Mathematical Physics · Physics 2009-03-20 Vieri Benci , Donato Fortunato

We study the classical dynamics of the Abelian-Higgs model in (1+1) space-time dimensions bf for the case of strongly broken gauge symmetry. In this limit the wells of the potential are almost harmonic and sufficiently deep, presenting a…

High Energy Physics - Theory · Physics 2015-03-05 F. K. Diakonos , G. C. Katsimiga , X. N. Maintas , C. E. Tsagkarakis

We present a finite energy topological Z(2) vortex solution in a 2+1 dimensional SO(3) gauge field theory minimally coupled to a matrix valued Higgs field. The vortex carries a Z(2) magnetic charge and obeys a modulo two addition property.…

High Energy Physics - Theory · Physics 2007-05-23 S. Cheluvaraja

We study a family of Maxwell-Higgs models, described by the inclusion of a function of the scalar field that represent generalized magnetic permeability. We search for vortex configurations which obey first-order differential equations that…

High Energy Physics - Theory · Physics 2017-02-07 D. Bazeia , L. Losano , M. A. Marques , R. Menezes , I. Zafalan

We derive Bogomolny-type equations for the Abelian Higgs model defined on the noncommutative torus and discuss its vortex like solutions. To this end, we carefully analyze how periodic boundary conditions have to be handled in…

High Energy Physics - Theory · Physics 2009-11-11 P. Forgacs , G. S. Lozano , E. F. Moreno , F. A. Schaposnik

In this paper we consider an Abelian Gauge Theory in R^4 equipped with the Minkowski metric. This theory leads to a system of equations, the Klein-Gordon-Maxwell equations, which provide models for the interaction between the…

Analysis of PDEs · Mathematics 2007-11-22 Vieri Benci , Donato Fortunato

We examine the formation of vortices during the nonequilibrium relaxation of a high-temperature initial state of an Abelian-Higgs system. We equilibrate the scalar and gauge fields using gauge-invariant Langevin equations and relax the…

Superconductivity · Physics 2011-07-19 G. J. Stephens , Luis M. A. Bettencourt , W. H. Zurek

We determine the contribution of nontrivial vacuum (topological) excitations, more specifically vortex--strings of the Abelian Higgs model in 3+1 dimensions, to the functional partition function. By expressing the original action in terms…

High Energy Physics - Theory · Physics 2009-11-11 Rudnei O. Ramos , J. F. Medeiros Neto , Daniel G. Barci , Cesar A. Linhares

In this article, we calculate the classical vortex solution of a spontaneously broken gauge theory interacting with gravity in (2+1)-dimension. We also calculate the conditions for the formation of a (2+1)-dimensional black hole due to…

High Energy Physics - Theory · Physics 2021-08-18 Kumar J. B. Ghosh

We study the Cauchy problem of higher dimensional Einstein-Maxwell-Higgs system in the framework of Bondi coordinates. As a first step, the problem is reduced to a single first-order integro-differential equation by defining a generalized…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Mirda Prisma Wijayanto , Fiki Taufik Akbar , Bobby Eka Gunara

The properties of an extension of the New Massive 3D Gravity by scalar matter with Higgs-like self-interaction are investigated. Its perturbative unitarity consistency is verified for a family of cosmological Bounce solutions found by the…

High Energy Physics - Theory · Physics 2015-05-18 H. L. C. Louzada , U. Camara dS , G. M. Sotkov
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