Instantons and stochastic quantization

S. Rouhani, N.H. Barton, Physica A 143 (1987) 220–226.

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Abstract
Bosonic field theories may be formulated in terms of stochastic differential equations. The characteristic long term behaviour of these systems is a decay into the global minimum of their Hamiltonian. If local minima exist, the rate of this decay is determined by instanton effects. We calculate the decay rate and perform computer simulations on a 1 + 1 dimensional model to test the instanton approximation. We find the instanton approximations to be in very good agreement with the simulation results. Copyright © 1987 Published by Elsevier B.V.
Publishing Year
Date Published
1987-01-01
Journal Title
Physica A
Volume
143
Issue
1-2
Page
220 - 226
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Rouhani S, Barton NH. Instantons and stochastic quantization. Physica A. 1987;143(1-2):220-226. doi:10.1016/0378-4371(87)90064-1
Rouhani, S., & Barton, N. H. (1987). Instantons and stochastic quantization. Physica A, 143(1–2), 220–226. https://doi.org/10.1016/0378-4371(87)90064-1
Rouhani, Shahin, and Nicholas H Barton. “Instantons and Stochastic Quantization.” Physica A 143, no. 1–2 (1987): 220–26. https://doi.org/10.1016/0378-4371(87)90064-1.
S. Rouhani and N. H. Barton, “Instantons and stochastic quantization,” Physica A, vol. 143, no. 1–2, pp. 220–226, 1987.
Rouhani S, Barton NH. 1987. Instantons and stochastic quantization. Physica A. 143(1–2), 220–226.
Rouhani, Shahin, and Nicholas H. Barton. “Instantons and Stochastic Quantization.” Physica A, vol. 143, no. 1–2, Elsevier, 1987, pp. 220–26, doi:10.1016/0378-4371(87)90064-1.

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