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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 178, Number 3, Pages 416–432
DOI: https://doi.org/10.4213/tmf8594 (Mi tmf8594) 		 
This article is cited in 6 scientific papers (total in 6 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
Full-text PDF (507 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf8594
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
English version:
Theoretical and Mathematical Physics, 2014, Volume 178, Issue 3, Pages 359–373
DOI: https://doi.org/10.1007/s11232-014-0148-z
Bibliographic databases:
PACS: 64.60.Ht
MSC: 82C27,82C28
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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