Photon-graviton mixing in an electromagnetic field

Abstract

Einstein-Maxwell theory implies the mixing of photons with gravitons in an external electromagnetic field. This process and its possible observable consequences have been studied at tree level for many years. We use the worldline formalism for obtaining an exact integral representation for the one-loop corrections to this amplitude due to scalars and fermions. We study the structure of this amplitude, and obtain exact expressions for various limiting cases.

13 pages, 1 figure, talk given by C. Schubert at QFEXT07, Leipzig, 17-21 Sep 2007, final published version (slightly extended)

References in corpus (32)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
• Distinguishing Spins in Supersymmetric and Universal Extra Dimension Models at the Large Hadron Collider
• Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison With Previous Calculations
• Worldline formalism in a gravitational background
• Trace Anomalies from Quantum Mechanics
• The Refractive Index of Curved Spacetime: the Fate of Causality in QED
• Worldline approach to vector and antisymmetric tensor fields
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part I
• The Higher Derivative Expansion of the Effective Action by the String Inspired Method. Part II
• The Path Integral for a Particle in Curved Spaces and Weyl Anomalies
• Causality and Micro-Causality in Curved Spacetime
• Dimensional regularization for N=1 susy sigma models and the worldline formalism
• Loop calculations in quantum-mechanical non-linear sigma models sigma models with fermions and applications to anomalies
• On the string-inspired approach to QED in external field
• One loop photon-graviton mixing in an electromagnetic field: Part 1
• Loop calculations in quantum-mechanical non-linear sigma models
• Reparametrization Invariance of Path Integrals
• BRST treatment of zero modes for the worldline formalism in curved space
• Photon-graviton conversion in a primordial magnetic field and the cosmic microwave background
• Mode regularization, time slicing, Weyl ordering and phase space path integrals for quantum mechanical nonlinear sigma models
• Dimensional regularization of nonlinear sigma models on a finite time interval
• Photon mixing in universes with large extra-dimensions
• Dimensional regularization of the path integral in curved space on an infinite time interval
• One loop photon-graviton mixing in an electromagnetic field: Part 2
• On Mode Regularization of the Configuration Space Path Integral in Curved Space
• 6D trace anomalies from quantum mechanical path integrals
• Reparametrization Invariance of Perturbatively Defined Path Integrals. II. Integrating Products of Distributions
• Gluon polarization tensor in color magnetic background
• Off-Diagonal Elements of the DeWitt Expansion from the Quantum Mechanical Path Integral
• Non-transversality of the gluon polarization tensor in a chromomagnetic background

Cited by in corpus (4)

• Gravitational corrections to the Euler-Heisenberg Lagrangian
• QED with external field: Hamiltonian treatment for anisotropic medium formed by the Lorentz-non-invariant vacuum
• Discovery prospects with the Dark-photons & Axion-Like particles Interferometer
• String-inspired representations of photon/gluon amplitudes