Research output: Contribution to journal › Article › peer-review
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.
Original language | English |
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Pages (from-to) | 1033-1045 |
Number of pages | 13 |
Journal | Theoretical and Mathematical Physics(Russian Federation) |
Volume | 204 |
Issue number | 2 |
DOIs | |
State | Published - 1 Aug 2020 |
ID: 76334432