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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2020

Flat phase of polymerized membranes at two-loop order

Résumé

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 Duc=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.

Dates et versions

hal-02550065 , version 1 (21-04-2020)

Identifiants

Citer

O. Coquand, D. Mouhanna, S. Teber. Flat phase of polymerized membranes at two-loop order. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2020, 101 (6), pp.062104. ⟨10.1103/PhysRevE.101.062104⟩. ⟨hal-02550065⟩
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