RECORD
Faraday effect : a field theoretical point of view
High Energy Physics - Phenomenology · Submitted 3 May 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the usual expression for Faraday rotation, which is derived for a non-degenerate plasma in the non-relativistic approximation, undergoes substantial modification if the background is degenerate and/or relativistic.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We analyze the structure of the vacuum polarization tensor in the presence of a background electromagnetic field in a medium. We use various discrete symmetries and crossing symmetry to constrain the form factors obtained for the most general case. From these symmetry arguments, we show why the vacuum polarization tensor has to be even in the background field when there is no background medium. Taking then the background field to be purely magnetic, we evaluate the vacuum polarization to linear order in it. The result shows the phenomenon of Faraday rotation, i.e., the rotation of the plane of polarization of a plane polarized light passing through this background. We find that the usual expression for Faraday rotation, which is derived for a non-degenerate plasma in the non-relativistic approximation, undergoes substantial modification if the background is degenerate and/or relativistic. We give explicit expressions for Faraday rotation in completely degenerate and ultra-relativistic media.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze the structure of the vacuum polarization tensor in the presence of a background electromagnetic field in a medium. | contribution 0.96 | 0.89 | 0.04 | asserted 0.64 |
| s1 | We use various discrete symmetries and crossing symmetry to constrain the form factors obtained for the most general case. | method 0.99 | 0.94 | 0.03 | asserted 0.98 |
| s2 | From these symmetry arguments, we show why the vacuum polarization tensor has to be even in the background field when there is no background medium. | result 0.44 | 0.91 | 0.08 | asserted 1.00 |
| s3 | Taking then the background field to be purely magnetic, we evaluate the vacuum polarization to linear order in it. | method 0.94 | 0.94 | 0.05 | asserted 0.96 |
| s4 | The result shows the phenomenon of Faraday rotation, i.e., the rotation of the plane of polarization of a plane polarized light passing through this background. | result 0.77 | 0.84 | 0.35 | asserted 1.00 |
| s5 | We find that the usual expression for Faraday rotation, which is derived for a non-degenerate plasma in the non-relativistic approximation, undergoes substantial modification if the background is degenerate and/or relativistic. | result 0.95 | 0.90 | 0.50 | asserted 1.00 |
| s6 | We give explicit expressions for Faraday rotation in completely degenerate and ultra-relativistic media. | result 0.70 | 0.94 | 0.30 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We analyze the structure of the vacuum polarization tensor in the presence of a background electromagnetic field in a medium. We use various discrete symmetries and crossing symmetry to constrain the form factors obtained for the most general case. From these symmetry arguments, we show why the vacuum polarization tensor has to be even in the background field when there is no background medium. Taking then the background field to be purely magnetic, we evaluate the vacuum polarization to linear order in it. The result shows the phenomenon of Faraday rotation, i.e., the rotation of the plane of polarization of a plane polarized light passing through this background. We find that the usual expression for Faraday rotation, which is derived for a non-degenerate plasma in the non-relativistic approximation, undergoes substantial modification if the background is degenerate and/or relativistic. We give explicit expressions for Faraday rotation in completely degenerate and ultra-relativistic media.
Human review
References
How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 1 paper
-
In addition, efforts were also made to study the bulk properties for a fermi gas [ref] , low lying hadrons [ref] and strongly coupled systems [ref] , collective excitations in magnetised QED medium [ref] using Ritus method and QCD medium [ref] using Furry's picture, neutrino properties [ref] and Field theory of the Faraday effects [ref] .
General structure of fermion two-point function and its spectral representation in a hot magnetised medium · Introduction · 0.86
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.