Authors

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.