Vacuum decay in quantum field theory - art. no. 105008

Citation
E. Calzetta et al., Vacuum decay in quantum field theory - art. no. 105008, PHYS REV D, 6410(10), 2001, pp. 5008
Citations number
136
Language
INGLESE
art.tipo
Review
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
0556-2821 → ACNP
Volume
6410
Issue
10
Year of publication
2001
Database
ISI
SICI code
0556-2821(20011115)6410:10<5008:VDIQFT>2.0.ZU;2-W
Abstract
We study the contribution to, vacuum decay in field theory due to the inter action between the long- and short-wavelength modes of the field. The field model considered consists of a scalar field of mass M with a cubic term in the potential. The dynamics of the long-wavelength modes becomes diffusive in this interaction. The diffusive behavior is described by the reduced Wi gner function that characterizes the state of the long-wavelength modes. Th is function is obtained from the whole Wigner function by integration of th e degrees of freedom of the short-wavelength modes. The dynamical equation for the reduced Wigner function becomes a kind of Fokker-Planck equation wh ich is solved with suitable boundary conditions enforcing an initial metast able vacuum state trapped in the potential well. As a result a finite activ ation rate is found, even at zero temperature, for the formation of true va cuum bubbles of size M-1. This effect makes a substantial contribution to t he total decay rate.