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One loop photon-graviton mixing in an electromagnetic field: Part 1

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Fiorenzo Bastianelli (Bologna University), Christian Schubert (UTPA)

General Relativity and Quantum Cosmology · Submitted 20 Dec 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In the first part of this article, the worldline formalism is used to obtain a compact two-parameter integral representation for this amplitude, valid for arbitrary photon energies and background field strengths.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/0412095 (version 2)
Pith IDBCSQECJB, Pith's permanent record of this paper and its review
CitationChristian Schubert (UTPA), Fiorenzo Bastianelli (Bologna University). "One loop photon-graviton mixing in an electromagnetic field: Part 1." arXiv:gr-qc/0412095 (2004). https://pith.science/paper/BCSQECJB
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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,167 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.34 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.17 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Photon-graviton mixing in an electromagnetic field is a process of potential interest for cosmology and astrophysics. At the tree level it has been studied by many authors. We consider the one-loop contribution to this amplitude involving a charged spin 0 or spin 1/2 particle in the loop and an arbitrary constant field. In the first part of this article, the worldline formalism is used to obtain a compact two-parameter integral representation for this amplitude, valid for arbitrary photon energies and background field strengths. The calculation is manifestly covariant througout.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Photon-graviton mixing in an electromagnetic field is a process of potential interest for cosmology and astrophysics. background 1.00 0.04 0.03 hedged possibility 0.78
s1 At the tree level it has been studied by many authors. background 1.00 0.03 0.02 asserted 1.00
s2 We consider the one-loop contribution to this amplitude involving a charged spin 0 or spin 1/2 particle in the loop and an arbitrary constant field. contribution 1.00 0.87 0.07 asserted 0.93
s3 In the first part of this article, the worldline formalism is used to obtain a compact two-parameter integral representation for this amplitude, valid for arbitrary photon energies and background field strengths. method 0.58 0.96 0.27 asserted 1.00
s4 The calculation is manifestly covariant througout. method 0.65 0.86 0.04 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Photon-graviton mixing in an electromagnetic field is a process of potential interest for cosmology and astrophysics. At the tree level it has been studied by many authors. We consider the one-loop contribution to this amplitude involving a charged spin 0 or spin 1/2 particle in the loop and an arbitrary constant field. In the first part of this article, the worldline formalism is used to obtain a compact two-parameter integral representation for this amplitude, valid for arbitrary photon energies and background field strengths. The calculation is manifestly covariant througout.

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References
How the literature uses it

9 arXiv papers cite this in 9 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Cites it as background 4 papers
  • We consider a scenario wherein the incoming GWs convert to electromagnetic (EM) waves in the presence of a transverse magnetic field, a phenomenon known as the Gertsenshtein-Zel’dovich effect [ref] .

    Constraining circular polarization of high-frequency gravitational waves with CMB · Introduction · 0.84

  • In Refs. [ref] , authors have also studied the photon-graviton conversion at the one-loop level.

    Maximal chirality transfer in the photon-graviton conversion in the early universe · Introduction · 0.88

  • This formalism was then extended to various quantum field theories in curved spacetime (see Ref. [ref] for a review) and several applications have so far been considered such as, one-loop effective actions [ref] , the one-loop graviton photon mixing in an electromagnetic field [ref] , gravitational corrections to Euler-Heisenberg lagrangians [ref] , worldline representations of quantum gravity [ref] , supergravity [ref] and higher spin field theories [ref] , and simplified methods for anomaly computations [ref] , just to name a few.

    A Monte Carlo Approach to the Worldline Formalism in Curved Space · Introduction · 0.98

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