Scalar Quantum Field Theory in Disordered Media
arXiv:1103.3551 · doi:10.1103/PhysRevD.83.125022
Abstract
A free massive scalar field in inhomogeneous random media is investigated. The coefficients of the Klein-Gordon equation are taken to be random functions of the spatial coordinates. The case of an annealed-like disordered medium, modeled by centered stationary and Gaussian processes, is analyzed. After performing the averages over the random functions, we obtain the two-point causal Green's function of the model up to one-loop. The disordered scalar quantum field theory becomes qualitatively similar to a self-interacting theory with a frequency-dependent coupling.
References in corpus (28)
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Sonic black holes in dilute Bose-Einstein condensates
- Analog gravity from Bose-Einstein condensates
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- Hawking radiation in sonic black holes
- Gravitons and Lightcone Fluctuations
- Relativistic Bose-Einstein Condensates: a new system for analogue models of gravity
- Lightcone fluctuations in flat spacetimes with nontrivial topology
- Cosmological and Black Hole Horizon Fluctuations
- Wave Propagation in Stochastic Spacetimes: Localization, Amplification and Particle Creation
- Gravitons and Lightcone Fluctuations II: Correlation Functions
- Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes
- Enhanced Black Hole Horizon Fluctuations
- Analog model for quantum gravity effects: phonons in random fluids
- Nonlinear coherent transport of waves in disordered media
- Quantum Lightcone Fluctuations in Compactified Spacetimes
- One-Loop Renormalization of a Self-Interacting Scalar Field in Nonsimply Connected Spacetimes
- Effective Lagrangians for Scalar Fields and Finite Size Effects in Field Theory
- Finite Size Effects in the Anisotropic λ/4!(ϕ^4_1 + ϕ^4_2)_d Model
- Limits to the analogue Hawking temperature in a Bose-Einstein condensate
- Quasinormal Ringing for Acoustic Black Holes at Low Temperature
- The Two-loop Massless phi^4 Model in Non-translational Invariant Domain
- Finite Size Effects in Thermal Field Theory
- Coherent propagation of waves in random media with weak nonlinearity
- The mean field theory of spin glasses: the heuristic replica approach and recent rigorous results
- Enhanced Geometry Fluctuations in Minkowski and Black Hole Spacetimes
- Interplay of disorder and nonlinearity in Klein-Gordon models: Immobile kinks
- The Bekenstein Bound in Asymptotically Free Field Theory
Cited by in corpus (12)
- Thermal Radiation from a Fluctuating Event Horizon
- An Analog Model for Quantum Lightcone Fluctuations in Nonlinear Optics
- Accelerated detectors in Dirac vacuum: the effects of horizon fluctuations
- Hidden geometries in nonlinear theories: a novel aspect of analogue gravity
- Entanglement dynamics in random media
- Riemann zeta zeros and prime number spectra in quantum field theory
- Multiplicative Noise in Euclidean Schwarzschild Manifold
- Casimir Energy Corrections by Light-Cone Fluctuations
- The Fermi problem in disordered systems
- Light-cone fluctuations and the renormalized stress tensor of a massless scalar field
- Finite-Size Effects in Disordered Model
- An analog fluid model for some tachyonic effects in field theory