Non-Perturbative One-Loop Effective Action for Electrodynamics in Curved Spacetime
arXiv:0906.2430 · doi:10.1063/1.3231787
Abstract
In this paper we explicitly evaluate the one-loop effective action in four dimensions for scalar and spinor fields under the influence of a strong, covariantly constant, magnetic field in curved spacetime. In the framework of zeta function regularization, we find the one-loop effective action to all orders in the magnetic field up to linear terms in the Riemannian curvature. As a particular case, we also obtain the one-loop effective action for massless scalar and spinor fields. In this setting, we found that the vacuum energy of charged spinors with small mass becomes very large due entirely by the gravitational correction.
LaTeX, 23 pages
References in corpus (13)
- Heat kernel expansion: user's manual
- Worldline Instantons and Pair Production in Inhomogeneous Fields
- Borel Summation of the Derivative Expansion and Effective Actions
- Heat Kernel Approach in Quantum Field Theory
- Gravitational corrections to the Euler-Heisenberg Lagrangian
- One-loop effective potential on hyperbolic manifolds
- Heat Kernel on Homogeneous Bundles over Symmetric Spaces
- Effective action for Dirac spinors in the presence of general uniform electromagnetic fields
- Covariant methods for calculating the low-energy effective action in quantum field theory and quantum gravity
- Non-perturbative Heat Kernel Asymptotics on Homogeneous Abelian Bundles
- Heat Kernel Asymptotics on Homogeneous Bundles
- Low-Energy Effective Action in Non-Perturbative Electrodynamics in Curved Spacetime
- A model of stable chromomagnetic vacuum in higher-dimensional Yang-Mills theory
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- A Gauge-Gravity Relation in the One-loop Effective Action
- Non-Perturbative One-Loop Effective Action for QED with Yukawa Couplings