The Hamilton-Jacobi analysis for higher order Maxwell-Chern-Simons gauge theory

Escalante, Alberto; Zavala-Perez, Victor Alberto

doi:10.48550/arxiv.2104.08720

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[27,28,29]. In addition, this model was considered in the noncommutative context [30] and its Hamilton-Jacobi analysis was carried out thoroughly [31].…”

Section: Introductionmentioning

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

View full text Add to dashboard Cite

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].

show abstract

“…[27,28,29]. In addition, this model was considered in the noncommutative context [30] and its Hamilton-Jacobi analysis was carried out thoroughly [31].…”

Section: Introductionmentioning

confidence: 99%