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Vacuum decay in quantum field theory
Calzetta, Esteban A., 1958-; Roura, Albert; Verdaguer Oms, Enric, 1950-
Universitat de Barcelona
We study the contribution to vacuum decay in field theory due to the interaction 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 Wigner function that characterizes the state of the long-wavelength modes. This function is obtained from the whole Wigner function by integration of the degrees of freedom of the short-wavelength modes. The dynamical equation for the reduced Wigner function becomes a kind of Fokker-Planck equation which is solved with suitable boundary conditions enforcing an initial metastable vacuum state trapped in the potential well. As a result a finite activation rate is found, even at zero temperature, for the formation of true vacuum bubbles of size M-1. This effect makes a substantial contribution to the total decay rate.
11-05-2010
Teoria quàntica de camps
Buit
Efecte túnel
Sistemes oberts
Quantum field theory
Vacuum
Tunneling (Physics)
Open systems (Physics)
(c) The American Physical Society, 2001
Artículo
The American Physical Society
         

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Calzetta, Esteban A., 1958-; Roura, Albert; Verdaguer Oms, Enric, 1950-
Campos, Antonio; Calzetta, Esteban A., 1958-; Verdaguer Oms, Enric, 1950-