Erratum: Casimir effect for gauge scalars: The Kalb-Ramond case [Phys. Rev. D<b>72</b>, 105012 (2005)]

Due to its versatility, the 2-form field has been employed to describe a multitude of scenarios that range from high energy to condensed matter physics. Pushing forward in this endeavor we study the interaction energy, intermediated by this kind of field, between branes in a variety of configurations. Also the so-called Cremmer-Scherk-Kalb-Ramond model, which consists of the electromagnetic field coupled to the Kalb-Ramond gauge potential, is considered. It turns out that these models exhibit a much richer class of sources than usually thought, able to intermediate novel forms of interactions in different scenarios.

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“…where α G is a gauge parameter. Taking α G = −1 and performing the functional integral (4), as exposed in [14,15], we have…”

Section: Rank-skew-symmetric Currentsmentioning

confidence: 99%

Charged brane interactions via the Kalb-Ramond field

Barone

Helayël-Neto

2011

Phys. Rev. D

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“…By using the functional formalism employed in [1,40,44,45,46], we can write the functional generator as follows…”

Section: Interaction Between External Sourcesmentioning

confidence: 99%

Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries

Borges,

Barone,

Oliveira

2022

Preprint

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In this paper we consider some new classical effects obtained for a planar electrodynamics with the presence of a higher order derivatives term. The model can be interpreted as a kind of extension for the 3d Maxwell-Chern-Simons electrodynamics with higher order derivatives. We consider setups with stationary field sources describing point-like charges and Dirac points. We also investigate this model with the presence of a conducting line (in 3d dimensions, it is the equivalent of a conducting plate in 4d dimensions). In this case we calculate the propagator for the gauge field and the interaction force between the conducting line and a point-like charge, as well as the force between the conducting line and a Dirac point, the source for vortex field solutions. It is shown that the image method is not valid in any case. We also compare the obtained results along the paper with the corresponding ones obtained with the standard Maxwell-Chern-Simons electrodynamics [1].

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“…We must obtain the functional generator for the scalar field submitted to the boundary condition (8). For this task we use the functional formalism proposed in [55] and employed in [56][57][58]. We start by writing the functional generator as follows…”

Section: The Modified Propagatormentioning

confidence: 99%

Dirichlet boundary condition for the Lee–Wick-like scalar model

Borges

Nogueira²,

Rodrigues

et al. 2020

Eur. Phys. J. C

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Lee–Wick-like scalar model near a Dirichlet plate is considered in this work. The modified propagator for the scalar field due to the presence of a Dirichlet boundary is computed, and the interaction between the plate and a point-like scalar charge is analysed. The non-validity of the image method is investigated and the results are compared with the corresponding ones obtained for the Lee–Wick gauge field and for the standard Klein–Gordon field.

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Erratum: Casimir effect for gauge scalars: The Kalb-Ramond case [Phys. Rev. D72, 105012 (2005)]

Cited by 8 publications

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Charged brane interactions via the Kalb-Ramond field

Charged brane interactions via the Kalb-Ramond field

Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries

Dirichlet boundary condition for the Lee–Wick-like scalar model

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