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Published on: November 11, 2013
Dissipation, noise, and vacuum decay in quantum field theory
Esteban Calzetta1, Albert Roura, Enric Verdaguer
1Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina.
Physical Review Letters
|January 22, 2002
Summary
Quantum field theory vacuum decay is influenced by mode interactions, leading to a finite decay rate even at zero temperature due to stochastic effects. This phenomenon significantly impacts the overall vacuum decay rate.
Area of Science:
- Quantum Field Theory
- Cosmology
- Statistical Mechanics
Background:
- Vacuum decay is a theoretical process where a quantum field transitions from a metastable vacuum state to a lower energy state.
- Understanding vacuum decay is crucial for cosmology and particle physics, impacting theories of the early universe and fundamental forces.
- The stochastic nature of field interactions, particularly between different wavelength modes, is often simplified in theoretical models.
Purpose of the Study:
- To investigate the role of stochastic interactions between long- and short-wavelength modes in quantum field theory vacuum decay.
- To analyze the impact of these interactions on the dynamics of the reduced Wigner function for long-wavelength modes.
- To determine if these stochastic effects contribute a finite activation rate to vacuum decay, even at absolute zero temperature.
Main Methods:
- Utilizing quantum field theory formalism to model vacuum decay.
- Focusing on the statistical (stochastic) aspects of mode coupling.
- Analyzing the evolution of the reduced Wigner function to capture the behavior of long-wavelength modes.
Main Results:
- The interaction between long- and short-wavelength modes induces a diffusive behavior in the reduced Wigner function.
- This diffusive behavior leads to a non-zero, finite activation rate for vacuum decay, even at zero temperature.
- The contribution of this stochastic effect to the total vacuum decay rate can be substantial.
Conclusions:
- Stochastic interactions between different wavelength modes are a critical factor in vacuum decay dynamics.
- The derived finite activation rate at zero temperature provides a new mechanism for vacuum instability.
- This research offers a more comprehensive understanding of vacuum decay processes in quantum field theory and cosmology.
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