Flat phase of polymerized membranes at two-loop order

Physical Review. E
O CoquandS Teber

Abstract

We investigate two complementary field-theoretical models describing the flat phase of polymerized-phantom-membranes by means of a two-loop, weak-coupling, perturbative approach performed near the upper critical dimension D_{uc}=4, extending the one-loop computation of Aronovitz and Lubensky [Phys. Rev. Lett. 60, 2634 (1988)PRLTAO0031-900710.1103/PhysRevLett.60.2634]. We derive the renormalization group equations within the modified minimal substraction scheme, then analyze the corrections coming from two-loop with a particular attention paid to the anomalous dimension and the asymptotic infrared properties of the renormalization group flow. We finally compare our results to those provided by nonperturbative techniques used to investigate these two models.

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Citations

Apr 18, 2021·Physical Review. E·O Coquand, D Mouhanna
Jun 18, 2021·Physical Review. E·Jonathan Kernes, Alex J Levine
Jul 17, 2021·Physical Review Letters·Pierre Le Doussal, Leo Radzihovsky

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