Abelian Higgs model effective potential in the presence of vortices

Ramos, Rudnei O.; Neto, J. F. Medeiros; Barci, Daniel G.; Linhares, C. A.

doi:10.1103/physrevd.72.103524

Cited by 12 publications

(13 citation statements)

References 46 publications

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“…Particle-vortex duality is a very useful tool in 2+1 dimensional quantum field theories [1] (see for instance [2][3][4]), though it was still not as used as the particle-monopole, or S-duality, in 3+1 dimensional quantum field theories. The duality goes back to work on superconductivity [5,6] and anyon superconductivity and the fractional quantum Hall effect [7] (see also the early works [8,9]), and was defined at the level of the path integral in [10,11] (see also [12,13] for another take on a path integral formulation).…”

Section: Introductionmentioning

confidence: 99%

Particle-vortex duality and theta terms in AdS/CMT applications

Alejo

Năstase

2019

J. High Energ. Phys.

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In this paper we study particle-vortex duality and the effect of theta terms from the point of view of AdS/CMT constructions. We can construct the duality in 2+1 dimensional field theories with or without a Chern-Simons term, and derive an effect on conductivities, when the action is viewed as a response action. We can find its effect on 3+1 dimensional theories, with or without a theta term, coupled to gravity in asymptotically AdS space, and derive the resulting effect on conductivities defined in the spirit of AdS/CFT. AdS/CFT then relates the 2+1 dimensional and the 3+1 dimensional cases naturally. Quantum gravity corrections, as well as more general effective actions for the abelian vector, can be treated similarly. We can use the fluid/gravity correspondence, and the membrane paradigm, to define shear and bulk viscosities η and ζ for a gravity plus abelian vector plus scalar system near a black hole, and define the effect of the S-duality on it. * 1 See e.g., [21,22] for an early example of 2+1 dimensional duality in the path integral.

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Section: Introductionmentioning

confidence: 99%

Particle-vortex duality and theta terms in AdS/CMT applications

Alejo

Năstase

2019

J. High Energ. Phys.

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“…Let us summarize the idea of a Higgs mechanism for B µν following [44][45][46][47][48]. For quantized strings we can define a wavefunctional Ψ[Ω] on the space of parametrized loops {Ω = {X µ (σ, τ ) = X µ (σ + 2π, τ )}} which remains invariant under a reparametrization…”

Section: Higgs Mechanism For B µνmentioning

confidence: 99%

Spin gauge theory, duality and fermion pairing

Mukherjee

Lahiri

2022

J. High Energ. Phys.

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We apply duality transformation to the Abelian Higgs model in 3+1 dimensions in the presence of electrons coupled to the gauge field. The Higgs field is in the symmetry broken phase, where flux strings can form. Dualization brings in an antisymmetric tensor potential Bμν, which couples to the electrons through a nonlocal interaction which can be interpreted as a coupling to the spin current. It also couples to the string worldsheet and gives rise to a string Higgs mechanism via the condensation of flux strings. In the phase where the Bμν field is massless, the nonlocal interaction implies a linearly rising attractive force between the electrons, which can be interpreted as the result of a pair of strings joining the electrons.

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“…In this dual formulation too, the ANO vortex strings are dualized to a string current electrically coupled with the massive 2-form field [17,18]. The dual transformation was applied to a finite temperature phase transition of the Abelian Higgs model [19].…”

Section: Introductionmentioning

confidence: 99%

Dual formulations of vortex strings in a supersymmetric Abelian Higgs model

Nitta

Yokokura

2019

Phys. Rev. D

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We discuss dual formulations of vortex strings (magnetic flux tubes) in the four-dimensional N = 1 supersymmetric Abelian Higgs model with the Fayet-Iliopoulos term in the superspace formalism. The Lagrangian of the model is dualized into a Lagrangian of the BF -type described by a chiral spinor gauge superfield including a 2-form gauge field. The dual Lagrangian is further dualized into a Lagrangian given by a chiral spinor superfield including a massive 2-form field. In both of the dual formulations, we obtain a superfield into which the vortex strings and their superpartners are embedded. We show the dual Lagrangians in terms of a superspace and a component formalism. In these dual Lagrangians, we explicitly show that the vortex strings of the original model are described by a string current electrically coupled with the 2-form gauge field or the massive 2-form field.

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Abelian Higgs model effective potential in the presence of vortices

Cited by 12 publications

References 46 publications

Particle-vortex duality and theta terms in AdS/CMT applications

Particle-vortex duality and theta terms in AdS/CMT applications

Spin gauge theory, duality and fermion pairing

Dual formulations of vortex strings in a supersymmetric Abelian Higgs model

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