1996/03/20 by M. Yoshimura, Yoshimura, M.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum optics and atomic interactions #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-ph/9603356
9 pages
arxiv created 1996/03/20 · openalex publication_date 1996/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In recent studies it has become increasingly clear that presence of infinitely many instability bands of the parametric resonance plays crucial roles in the phenomenon of particle production under periodic classical field oscillation. We extend previous works to a general class of models including both the Yukawa and the quartic type of couplings of the classical field to quantum bose fields. Decay rate from the n-th band is derived in the small amplitude limit using the functional Schr\stackrel..\rm odinger picture. It is then shown that this analytic result of the decay rate can also be derived as the zero momentum limit of a physical process, n particles that comprise the classical homogeneous field decaying simultaneously into 2 bose particles. The latter approach uses ordinary perturbation theory, hence the former result is a novel resummation of many perturbative amplitudes, which usually becomes complicated for a large n order.