Effective theories and non-minimal couplings in low-dimensional systems
Autor: | L. P. R. Ospedal, M. G. Campos |
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Rok vydání: | 2020 |
Předmět: |
Physics
High Energy Physics - Theory Condensed Matter - Other Condensed Matter Nuclear and High Energy Physics Theoretical physics Transformation (function) High Energy Physics - Theory (hep-th) General Physics and Astronomy FOS: Physical sciences Astronomy and Astrophysics Curse of dimensionality Other Condensed Matter (cond-mat.other) |
DOI: | 10.48550/arxiv.2012.06297 |
Popis: | Dimensionality aspects of non-minimal electromagnetic couplings are investigated. By means of the Foldy-Wouthuysen transformation, we attain (non-)relativistic interactions related to the non-minimal coupling in three-dimensional spacetime, for both the bosonic and fermionic fields. Next, we establish some comparisons and analyse particular situations in which the external electromagnetic fields are described either by Maxwell or Maxwell-Chern-Simons Electrodynamics. In addition, we consider the situation of a non-minimal coupling for the fermionic field in four dimensions, carry out its dimensional reduction to three dimensions and show that the three-dimensional scenario previously worked out can be recovered as a particular case. Finally, we discuss a number of structural aspects of both procedures. Comment: Comments and references added; results unchanged |
Databáze: | OpenAIRE |
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