Boltzmann equation in classical and quantum field theory
Journal Article
·
· Physical Review. C, Nuclear Physics
- Physics Department, McGill University, 3600 University Street, Montreal, Quebec, H3A-2T8 (Canada)
Improving upon the previous treatment by Mueller and Son, we derive the Boltzmann equation that results from a classical scalar field theory. This is obtained by starting from the corresponding quantum field theory and taking the classical limit with particular emphasis on the path integral and perturbation theory. A previously overlooked Van Vleck determinant is shown to control the tadpole type of self-energy that can still appear in the classical perturbation theory. Further comments on the validity of the approximations and possible applications are also given.
- OSTI ID:
- 20698850
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 72, Issue 1; Other Information: DOI: 10.1103/PhysRevC.72.014907; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
Similar Records
Nonlinear Schroedinger equation and dissipative quantum dynamics in periodic fields
Comparison of Boltzmann equations with quantum dynamics for scalar fields
Properties of the Boltzmann equation in the classical approximation
Journal Article
·
Sun Oct 15 00:00:00 EDT 1989
· Physical Review (Section) A: General Physics; (USA)
·
OSTI ID:20698850
Comparison of Boltzmann equations with quantum dynamics for scalar fields
Journal Article
·
Thu Jun 15 00:00:00 EDT 2006
· Physical Review. D, Particles Fields
·
OSTI ID:20698850
Properties of the Boltzmann equation in the classical approximation
Journal Article
·
Tue Dec 30 00:00:00 EST 2014
· Physical Review. D, Particles, Fields, Gravitation and Cosmology
·
OSTI ID:20698850
+1 more