Auxiliary fields approach to shift-symmetric theories: the φ^4 derivative theory and the crumpled-to-flat transition of membranes at two-loop order

Published in Phys. Rev. D, 2023

Abstract:

We introduce a technique relying on the use of auxiliary fields in order to eliminate explicit field-derivatives that plague the high orders renormalization group treatment of shift-symmetric (derivative) theories. This technique simplifies drastically the computation of fluctuations in such theories. This is illustrated by deriving the two-loop renormalization group equations—and the three-loop anomalous dimension—of the φ^4 derivative theory in D=4−ε, which is also relevant to describe the crumpled-to-flat transition of polymerized membranes. Some features of this transition are provided.

Recommended citation: "Auxiliary fields approach to shift-symmetric theories: the φ^4 derivative theory and the crumpled-to-flat transition of membranes at two-loop order", L. Delzescaux, C. Duclut, D. Mouhanna, and M. Tissier, Phys. Rev. D 108, L081702 (2023). https://link.aps.org/doi/10.1103/PhysRevD.108.L081702