- Access by Xinjiang University
Catalyzed decay of a false vacuum in four dimensions
Phys. Rev. D 49, 2014 – Published 15 February, 1994
DOI: https://doi.org/10.1103/PhysRevD.49.2014
Abstract
The probability of destruction of a metastable vacuum state by the field of a highly virtual particle with energy E is calculated for a (3+1)-dimensional theory in the leading WKB approximation in the thin-wall limit. It is found that the induced nucleation rate of bubbles, capable of expansion, is exponentially small at any energy. The negative exponential power in the rate reaches its maximum at the energy, corresponding to the top of the barrier in the bubble energy, where it is a finite fraction of the same power in the probability of the spontaneous decay of the false vacuum, i.e., at E=0.
References (23)
- I. M. Lifshifts and Yu. Kagan, Zh. Eksp. Teor. Fiz. 62, 385 (1972) [Sov. Phys. JETP 35, 206 (1972)]; 62, 634 (1972) [35, 336 (1972)].
- B. V. Petukhov and V. L. Pokrovskii, Zh. Eksp. Teor. Fiz. 63, 634 (1973) [Sov. Phys. JETP 36, 336 (1973)].
- M. B. Voloshin, I. Yu. Kobzarev and L. B. Okun, Yad. Fiz. 20, 1229 (1974) [Sov. J. Nucl. Phys. 20, 644 (1975)].
- A. D. Linde, Nucl. Phys. B216, 421 (1983).
- S. Coleman, Phys. Rev. D 15, 2929 (1977); ibid. 16, 1248(E) (1977).
- C. G. Callan and S. Coleman, Phys. Rev. D 16, 1762 (1977).
- J. S. Langer, Ann. Phys. (N.Y.) 41, 108 (1967).
- J. S. Langer, Ann. Phys. (N.Y.) 54, 258 (1969).
- I. K. Affleck and F. De Luccia, Phys. Rev. D 20, 3168 (1979).
- M. B. Voloshin and K. G. Selivanov, Pis'ma Zh. Eksp. Teor. Fiz. 42, 342 (1985) [JETP Lett. 42, 422 (1985)].
- M. B. Voloshin and K. G. Selivanov, Yad. Fiz. 44, 1336 (1986) [Sov. J. Nucl. Phys. 44, 868 (1986)].
- V. G. Kiselev, Phys. Rev. D 45, 2929 (1992).
- V. A. Rubakov, D. T. Son and P. G. Tinyakov, Phys. Lett. B 278, 279 (1992).
- J. Ellis, A. Linde and M. Sher, Phys. Lett. B 252, 203 (1990).
- M. P. Mattis, Phys. Rep. 214, 159 (1992).
- M. Voloshin, Phys. Rev. D 43, 1726 (1991).
- M. Porrati and L. Girardello, Phys. Lett. B 271, 148 (1991).
- J. M. Cornwall and G. Tiktopoulos, ``Semiclassical matrix elements for the quartic oscillator, '' UCLA Report No. UCLA-92-TEP-53, 1992 (unpublished).
- D. Diakonov and V. Petron ``Non-perturbative isotropic multi-particle production in Yang-Mills theory,'' University of Bochum Report No. RUB-TPII-52/93, July 1993 (unpublished).
- A. S. Gorsky and M. B. Voloshin, Phys. Rev. D 48, 3843 (1993).
- L. D. Landau, Phys. Zh. Sowiet. 1, 88 (1932); L. D. Landau and E. M. Lifshits, Quantum Mechanics, Non-Relativistic Theory, 3rd ed. (Pergamon, New York, 1977), Sec. 52.
- S. V. Iordanskii and L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 76, 769 (1979) [Sov. Phys. JETP 49, 386 (1979)].
- N. A. Voronov and I. Yu. Kobzarev, Pis'ma Zh. Eksp. Teor. Fiz. 24, 576 (1976) [JETP Lett. 24, 532 (1976)]; I. L. Bogolyubskii and V. G. Makhan'kov, ibid. 24, 15 (1976) [24, 12 (1976)]; T. I. Belova, N. A. Vornov, I. Yu. Kobzarev and N. B. Konyukhova, Zh. Eksp. Teor. Fiz. 73, 1611 (1977) [Sov. Phys. JETP 46, 846 (1977)].