Width of photon decay in a magnetic field: Elementary semiclassical derivation and sensitivity to Lorentz violation

  title={Width of photon decay in a magnetic field: Elementary semiclassical derivation and sensitivity to Lorentz violation},
  author={Petr Satunin},
  journal={Physical Review D},
  • P. Satunin
  • Published 24 January 2013
  • Physics
  • Physical Review D
We present an elementary derivation of the width of photon decay in a weak magnetic field using the semiclassical method of worldline instantons. The calculation is generalized to a model of quantum electrodynamics with broken Lorentz symmetry. Implications for the search of deviations from Lorentz invariance in the cosmic ray experiments are discussed. 
11 Citations

Figures from this paper

Study of neutrino decay in a magnetic field within the “worldline instanton” approach

We study the process of neutrino decay to electron and W-boson in the external magnetic field using the semiclassical “worldline instanton” approach. Being interested only in the leading exponential

Effect of the magnetized medium on the decay of neutral scalar bosons

The decay of a heavy neutral scalar particle into fermions and into charged scalars are analyzed when in the presence of an external magnetic field and finite temperature. Working in the one-loop

Semiclassical analysis of pair creation in de Sitter space

We study a massive scalar field theory in de Sitter space. Using a worldline instanton approach, we calculate the pair creation probability in the weak-field limit. In addition to the exponential

Tests of Lorentz invariance: a 2013 update

We present an updated review of Lorentz invariance tests in effective field theories (EFTs) in the matter as well as in the gravity sector. After a general discussion of the role of Lorentz

Effect of a primordial magnetic field on the inflaton decay process in a warm inflation scenario

Magnetic fields appear everywhere in the Universe. Their widespread presence at high redshifts and very large scales suggests that their origin could be primordial. In particular, their presence

Worldline instantons for nonlinear Breit-Wheeler pair production and Compton scattering

Worldline instantons have previously been used to study the probability of Schwinger pair production (both the exponential and pre-exponential parts) and photon-stimulated pair production (the

Impact of Lorentz violation on anomalous magnetic moments of charged leptons

We address the question whether a violation of Lorentz symmetry can explain the tension between the measurement and the Standard-Model prediction of the anomalous magnetic moment of the muon, (g −

Breit-Wheeler pair production from Worldline Instantons

We calculate the cross-section of Breit-Wheeler process γγ → e+ e- in external electric field below the perturbative threshold by the semiclassical method of worldline instantons.



Semiclassical calculation of photon-stimulated Schwinger pair creation

We consider the electron-positron pair creation by a photon in an external constant electric field. The presented treatment is based on a purely quasiclassical calculation of the imaginary part of


In the first part of the review, I discuss ways of obtaining Lorentz-Invariance-Violating (LIV) space-time foam in the modern context of string theory, involving brane world scenarios. The foamy

Quantum Gravity at a Lifshitz Point

We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between space

Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics

Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts. In this review we discuss quantum gravity

The Cosmic-Ray Energy Spectrum Observed with the Surface Detector of the Telescope Array Experiment

The Telescope Array (TA) collaboration has measured the energy spectrum of ultra-high energy cosmic rays (UHECRs) with primary energies above 1.6 × 1018 eV. This measurement is based upon four years


  • Rev. D 86
  • 2012


  • Rev. D 79
  • 2009


  • Phys. 106
  • 2008


  • Phys. B 197
  • 1982