Probability representation in quantum field theory
arXiv:hep-th/9806164 · doi:10.1016/S0370-2693(98)01033-8
Abstract
The recently proposed probability representation of quantum mechanics is generalized to quantum field theory. We introduce a probability distribution functional for field configurations and find an evolution equation for such a distribution. The connection to the time-dependent generating functional of Green's functions is elucidated and the classical limit is discussed.
Latex file, 10 pages, no figures. Minor corrections. References reordered
References in corpus (4)
- Classical-Like Description of Quantum Dynamics by Means of Symplectic Tomography
- Reconstructing the density operator by using generalized field quadratures
- Time-Dependent Invariants and Green's Functions in the Probability Representation of Quantum Mechanics
- Non-Equilibrium Time Evolution in Quantum Field Theory
Cited by in corpus (14)
- The Pauli Equation for Probability Distributions
- Duality symmetry for star products
- On the -product quantization and the Duflo map in three dimensions
- Radon transform of Wheeler-De Witt equation and tomography of quantum states of the universe
- Cosmological dynamics in tomographic probability representation
- A tomographic description for classical and quantum cosmological perturbations
- Symplectic tomography of ultracold gases in tight-waveguides
- Tomographic entropy and cosmology
- On the tomographic description of classical fields
- Permutation symmetry for the tomographic probability distribution of a system of identical particles
- Deformation quantization and the tomographic representation of quantum fields
- A probabilistic view of wave-particle duality for single photons
- Operators and their symbols in the optical probabilistic representation of quantum mechanics
- Probability Representation of Quantum Mechanics: Comments and Bibliography