Adiabatic regularization for Dirac fields in time-varying electric backgrounds
arXiv:2001.08710 · doi:10.1103/PhysRevD.101.105014
Abstract
The adiabatic regularization method was originally proposed by Parker and Fulling to renormalize the energy-momentum tensor of scalar fields in expanding universes. It can be extended to renormalize the electric current induced by quantized scalar fields in a time-varying electric background. This can be done in a way consistent with gravity if the vector potential is considered as a variable of adiabatic order one. Assuming this, we further extend the method to deal with Dirac fields in four spacetime dimensions. This requires a self-consistent ansatz for the adiabatic expansion, in presence of a prescribed time-dependent electric field, which is different from the conventional expansion used for scalar fields. Our proposal is consistent, in the massless limit, with the conformal anomaly. We also provide evidence that our proposed adiabatic expansion for the fermionic modes parallels the Schwinger-DeWitt adiabatic expansion of the two-point function. We give the renormalized expression of the electric current and analyze, using numerical and analytical tools, the pair production induced by a Sauter-type electric pulse. We also analyze the scaling properties of the current for a large field strength.
17 pages, 2 figure, addition of one extra section
References in corpus (32)
- Heat kernel expansion: user's manual
- Twenty Years of the Weyl Anomaly
- Electron-positron pairs in physics and astrophysics: from heavy nuclei to black holes
- New Strong-Field QED Effects at ELI: Nonperturbative Vacuum Pair Production
- On the Prospect of Studying Nonperturbative QED with Beam-Beam Collisions
- Schwinger Effect in 4D de Sitter Space and Constraints on Magnetogenesis in the Early Universe
- The Heisenberg-Euler Effective Action: 75 years on
- Schwinger effect in de Sitter space
- Adiabatic regularization and particle creation for spin one-half fields
- On the Time Dependence of Adiabatic Particle Number
- Adiabatic regularization for spin-1/2 fields
- Fermionic current and Schwinger effect in de Sitter spacetime
- Preferred instantaneous vacuum for linear scalar fields in cosmological space-times
- Renormalized stress-energy tensor for spin-1/2 fields in expanding universes
- Revising the predictions of inflation for the cosmic microwave background anisotropies
- The Creation of Particles in an Expanding Universe
- Revising the observable consequences of slow-roll inflation
- Adiabatic expansions for Dirac fields, renormalization, and anomalies
- Schwinger effect impacting primordial magnetogenesis
- Schwinger Mechanism During Inflation
- Equivalence of Adiabatic and DeWitt-Schwinger renormalization schemes
- Pair creation in electric fields, anomalies, and renormalization of the electric current
- Role of gravity in the pair creation induced by electric fields
- Running couplings from adiabatic regularization
- Adiabatic regularization with a Yukawa interaction
- Spin 1/2 field and regularization in de Sitter and radiation dominated universe
- Renormalization of the charged scalar field in curved space
- Hadamard renormalization for a charged scalar field
- Breaking of adiabatic invariance in the creation of particles by electromagnetic fields
- Astrophysics in Strong Electromagnetic Fields and Laboratory Astrophysics
- Translational anomaly of chiral fermions in two dimensions
- Pair creation in electric fields, renormalization, and backreaction
Cited by in corpus (11)
- Pair production due to an electric field in 1+1 dimensions and the validity of the semiclassical approximation
- No black holes from light
- Running gravitational couplings, decoupling, and curved spacetime renormalization
- Equivalence of the adiabatic expansion and Hadamard renormalization for a charged scalar field
- Ultraviolet-regularized power spectrum without infrared distortions in cosmological spacetimes
- Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
- Renormalization of at the inner horizon of rotating, accreting black holes
- Physical scale adiabatic regularization in cosmological spacetimes
- Argument for the radiation-dominated behavior of matter fields in the preinflationary era
- The physics of adiabatic particle number in the Schwinger effect
- Schwinger effect with backreaction in 1+1D massive QED with a strong external field