2007/11/30 by Daniel Arteaga
Computer Science · Physics and Astronomy · #Brownian motion #Field (mathematics) #Gaussian #Open quantum system #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Information and Cryptography #Quantum field theory #Quantum process #Scalar field #Scalar field theory #hep-ph #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1155/2009/278759
published as Adv.High Energy Phys.2009:278759,2009 · 25 pages, 1 figure. Motivations emphasized, new application, overall clarity improved. Version accepted for publication in AHEP
openalex publication_date 2009/01/01 · arxiv created 2009/05/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
When analyzing the particle‐like excitations in quantum field theory it is natural to regard the field mode corresponding to the particle momentum as an open quantum system, together with the opposite momentum mode. Provided that the state of the field is stationary, homogeneous, and isotropic, this scalar two‐mode system can be equivalently represented in terms of a pair of quantum Brownian oscillators under a Gaussian approximation. In other words, the two‐mode system behaves as if it were interacting linearly with some effective environment. In this paper we build the details of the effective linear coupling and the effective environment, and argue that this quantum Brownian representation provides a simple, universal, and nonperturbative characterization of any single particle‐like excitation. As immediate applications of the equivalence, we reanalyze the interpretation of the self‐energy in terms of decay rates in a general background state and present the master equation for the field mode corresponding to the particle momentum.