Galileon Higgs vortices

Chagoya, Javier; Tasinato, Gianmassimo

doi:10.1007/jhep02(2016)063

Cited by 8 publications

(6 citation statements)

References 37 publications

(58 reference statements)

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“…More recently, vortices have been studied in several contexts, for instance, in massive gauged non-linear sigma models [45], as effective field theory for branes and strings carrying localized flux [46], in the study of non-Abelian vortices in holographic superconductors [47], in issues inspired by magnetic impurity considerations, in which some classes of Abelian Higgs and Chern-Simons-Higgs vortex equations are analyzed [48], in the search of vortices and magnetic bags in Abelian models with extended scalar sectors and some of their applications [49], as vortex configuration in the Abelian Higgs theory supplemented by higher order derivative self-interactions, related with Galileons [50], and also in terms of the volume of a vortex and the Bradlow bound [51].…”

Section: Introductionmentioning

confidence: 99%

First order formalism for generalized vortices

et al. 2018

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This work develops a procedure to find classes of Lagrangian densities that describe generalizations of the Abelian Maxwell-Higgs, the Chern-Simons-Higgs and the Maxwell-Chern-Simons-Higgs models. The investigation focuses on the construction of models that support vortices that obey the stressless condition and lead to first order differential equations which are compatible with the equations of motion. The results induce the appearance of constraints that restrict the choice of the Lagrangian densities, but help us to introduce an auxiliary function that allows to calculate the energy without knowing the explicit form of the solutions. * Electronic address: bazeia@fisica.ufpb.br † Electronic address:In the current work, we concentrate on vortices in relativistic models described in (2, 1) spacetime dimensions. As it is known, vortices were firstly studied by Helmholtz in Ref. [4] and are commonly found in fluid mechanics [5]. They are also present in condensed matter when one studies superconductors. As it is well-known, when superconductors are below a critical temperature they expel the magnetic field, a phenomenom known as the Meissner effect [6]. However, working with the Ginzburg-Landau theory of superconductivity [7], in Ref.[8] Abrikosov noticed that vortices also appear in type II superconductors when exposed to an external electromagnetic field in a specific range of values.The Ginzburg-Landau theory is nonrelativistic. Nevertheless, it is possible to find relativistic field theories that support vortex solutions. The first model was proposed by Nielsen and Olesen in Ref. [9]; it consists of a complex scalar field minimally coupled with a Maxwell gauge field under under the action of the local U (1) gauge symmetry. The equations of the fields that describe the problem, however, are of second order involving the two aforementioned fields that interact in a nontrivial way. Even so, by setting an additional condition to the stress tensor, a classical solution was found in Ref.[10] by de Vega and Schaposnik.Moreover, in Ref.[11] Bogomol'nyi found first order differential equations compatible with the equations of motion by minimizing the energy of the field configurations. The procedure developed by Bogomol'nyi works for kinks, vortices and monopoles, and joined the work of Prasad and Sommerfield [12] on monopoles, to make what is now called BPS states, which represent solutions of first order differential equations that solve the equations of motion and minimize the energy of the non-trivial static field configurations that describe the topological structures.

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Section: Introductionmentioning

confidence: 99%

First order formalism for generalized vortices

et al. 2018

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“…Vortices have also been investigated in generalized models with distinct motivations in several works; see, e.g., Refs. [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. In particular, k-vortices, which are vortices in models with generalized kinematics, similar to the models studied before in Refs.…”

Section: Introductionmentioning

confidence: 70%

First Order Framework for Gauge k-Vortices

Bazeia

Losano

Marques

et al. 2018

Advances in High Energy Physics

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We study vortices in generalized Maxwell-Higgs models, with the inclusion of a quadratic kinetic term with the covariant derivative of the scalar field in the Lagrangian density. We discuss the stressless condition and show that the presence of analytical solutions help us to define the model compatible with the existence of first order equations. A method to decouple the first order equations and to construct the model is then introduced and, as a bonus, we get the energy depending exclusively on a function of the fields calculated from the boundary conditions. We investigate some specific possibilities and find, in particular, a compact vortex configuration in which the energy density is all concentrated in a unit circle.

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“…The vector-tensor theories dubbed vector Galileons or generalized Proca [10][11][12] have been first introduced as vector-tensor versions of Galileon and Horndeski actions. Subsequent investigations started to explore their field theoretical [24][25][26][27][28][29][30][31] and cosmological [32][33][34][35][36][37][38][39] ramifications.…”

Section: Special Vector-tensor Theoriesmentioning

confidence: 99%

Stealth configurations in vector-tensor theories of gravity

Chagoya

Tasinato

2018

J. Cosmol. Astropart. Phys.

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Studying the physics of compact objects in modified theories of gravity is important for understanding how future observations can test alternatives to General Relativity. We consider a subset of vector-tensor Galileon theories of gravity characterized by new symmetries, which can prevent the propagation of the vector longitudinal polarization, even in absence of Abelian gauge invariance. We investigate new spherically symmetric and slowly rotating solutions for these systems, including an arbitrary matter Lagrangian. We show that, under certain conditions, there always exist stealth configurations whose geometry coincides with solutions of Einstein gravity coupled with the additional matter. Such solutions have a non-trivial profile for the vector field, characterized by independent integration constants, which extends to asymptotic infinity. We interpret our findings in terms of the symmetries and features of the original vector-tensor action, and on the number of degrees of freedom that it propagates. These results are important to eventually describe gravitationally bound configurations in modified theories of gravity, such as black holes and neutron stars, including realistic matter fields forming or surrounding the object.

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Galileon Higgs vortices

Cited by 8 publications

References 37 publications

First order formalism for generalized vortices

First order formalism for generalized vortices

First Order Framework for Gauge k-Vortices

Stealth configurations in vector-tensor theories of gravity

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