Convergent perturbation theory for studying phase transitions

Standard

Convergent perturbation theory for studying phase transitions. / Nalimov, M. Yu; Ovsyannikov, A. V.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 204, No. 2, 01.08.2020, p. 1033-1045.

Research output: Contribution to journal › Article › peer-review

Harvard

Nalimov, MY & Ovsyannikov, AV 2020, 'Convergent perturbation theory for studying phase transitions', Theoretical and Mathematical Physics(Russian Federation), vol. 204, no. 2, pp. 1033-1045. https://doi.org/10.1134/S004057792008005X

APA

Nalimov, M. Y., & Ovsyannikov, A. V. (2020). Convergent perturbation theory for studying phase transitions. Theoretical and Mathematical Physics(Russian Federation), 204(2), 1033-1045. https://doi.org/10.1134/S004057792008005X

Vancouver

Nalimov MY, Ovsyannikov AV. Convergent perturbation theory for studying phase transitions. Theoretical and Mathematical Physics(Russian Federation). 2020 Aug 1;204(2):1033-1045. https://doi.org/10.1134/S004057792008005X

Author

Nalimov, M. Yu ; Ovsyannikov, A. V. / Convergent perturbation theory for studying phase transitions. In: Theoretical and Mathematical Physics(Russian Federation). 2020 ; Vol. 204, No. 2. pp. 1033-1045.

BibTeX

@article{5e68acfc24074827ab6ec0055ac0d2f7,

title = "Convergent perturbation theory for studying phase transitions",

abstract = "Abstract: We propose a method for constructing a perturbation theory with a finite radius of convergence for a rather wide class of quantum field models traditionally used to describe critical and near-critical behavior in problems in statistical physics. For the proposed convergent series, we use an instanton analysis to find the radius of convergence and also indicate a strategy for calculating their coefficients based on the diagrams in the standard (divergent) perturbation theory. We test the approach in the example of the standard stochastic dynamics A-model and a matrix model of the phase transition in a system of nonrelativistic fermions, where its application allows explaining the previously observed quasiuniversal behavior of the trajectories of a first-order phase transition.",

keywords = "convergent perturbation theory, critical behavior, instanton analysis, renormalization group, superconductivity",

author = "Nalimov, {M. Yu} and Ovsyannikov, {A. V.}",

year = "2020",

month = aug,

day = "1",

doi = "10.1134/S004057792008005X",

language = "English",

volume = "204",

pages = "1033--1045",

journal = "Theoretical and Mathematical Physics (Russian Federation)",

issn = "0040-5779",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - Convergent perturbation theory for studying phase transitions

AU - Nalimov, M. Yu

AU - Ovsyannikov, A. V.

PY - 2020/8/1

Y1 - 2020/8/1

N2 - Abstract: We propose a method for constructing a perturbation theory with a finite radius of convergence for a rather wide class of quantum field models traditionally used to describe critical and near-critical behavior in problems in statistical physics. For the proposed convergent series, we use an instanton analysis to find the radius of convergence and also indicate a strategy for calculating their coefficients based on the diagrams in the standard (divergent) perturbation theory. We test the approach in the example of the standard stochastic dynamics A-model and a matrix model of the phase transition in a system of nonrelativistic fermions, where its application allows explaining the previously observed quasiuniversal behavior of the trajectories of a first-order phase transition.

AB - Abstract: We propose a method for constructing a perturbation theory with a finite radius of convergence for a rather wide class of quantum field models traditionally used to describe critical and near-critical behavior in problems in statistical physics. For the proposed convergent series, we use an instanton analysis to find the radius of convergence and also indicate a strategy for calculating their coefficients based on the diagrams in the standard (divergent) perturbation theory. We test the approach in the example of the standard stochastic dynamics A-model and a matrix model of the phase transition in a system of nonrelativistic fermions, where its application allows explaining the previously observed quasiuniversal behavior of the trajectories of a first-order phase transition.

KW - convergent perturbation theory

KW - critical behavior

KW - instanton analysis

KW - renormalization group

KW - superconductivity

UR - http://www.scopus.com/inward/record.url?scp=85089747594&partnerID=8YFLogxK

U2 - 10.1134/S004057792008005X

DO - 10.1134/S004057792008005X

M3 - Article

AN - SCOPUS:85089747594

VL - 204

SP - 1033

EP - 1045

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 2

ER -

ID: 76334432