Applicability of the Wigner functional approach to evolution of quantum fields

Abstract

Evolution of highly excited quantum field is considered in the framework of Keldysh formalism . It is demonstrated that leading order (LO) term of semiclassical approximation appears as well-known Classical Statistical Approximation (CSA). In simple case of spatially homogeneous scalar field analytical expressions for leading and next-to-leading (NLO) order are presented. It is shown that the range of applicability of CSA strongly depends on the properties of the initial state of the system

arXiv commentBased on talk given at the 19th Intenational Seminar QUARKS 2016

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Cited by in corpus (4)

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• Classical and quantum butterfly effect in nonlinear vector mechanics
• Quantum corrections to the Classical Statistical Approximation for the expanding quantum field