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This article is cited in 5 scientific papers (total in 5 papers)
The Kardar–Parisi–Zhang equation and its matrix generalization
L. V. Borkab, S. L. Ogarkovb a Institute for Theoretical and Experimental Physics, Moscow,
Russia
b Dukhov All-Russia~Research Institute of Automatics, Moscow,
Russia
Abstract:
We study the problem of the condensate (stochastic average) origination for an auxiliary field in the Kardar–Parisi–Zhang equation and its matrix generalization. We cannot reliably conclude that there is a condensate for the Kardar–Parisi–Zhang equation in the framework of the one-loop approximation improved by the renormalization group method. The matrix generalization of the Kardar–Parisi–Zhang equation permits a positive answer to the question of whether there is a nonzero condensate, and the problem can be solved exactly in the large-$N$ limit.
Keywords:
Kardar–Parisi–Zhang equation, renormalization group, effective potential, $1/N$-expansion.
Received: 10.09.2013 Revised: 23.09.2013
Citation:
L. V. Bork, S. L. Ogarkov, “The Kardar–Parisi–Zhang equation and its matrix generalization”, TMF, 178:3 (2014), 416–432; Theoret. and Math. Phys., 178:3 (2014), 359–373
Linking options:
https://www.mathnet.ru/eng/tmf8594https://doi.org/10.4213/tmf8594 https://www.mathnet.ru/eng/tmf/v178/i3/p416
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Abstract page: | 463 | Full-text PDF : | 213 | References: | 78 | First page: | 57 |
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