Five-loop renormalization-group expansions for two-dimensional Euclidean λϕ^4 theory
Year: 2003
Type: preprint
Abstract: The renormalization-group functions of the two-dimensional n-vector λϕ^4 model are calculated in the five-loop approximation. Perturbative series for the β-function and critical exponents are resummed by the Pade-Borel-Leroy techniques. An account for the five-loop term shifts the Wilson fixed point location only briefly, leaving it outside the segment formed by the results of the lattice calculations. This is argued to reflect the influence of the non-analytical contribution to the β-function. The evaluation of the critical exponents for n = 1, n = 0 and n = -1 in the five-loop approximation and comparison of the results with known exact values confirm the conclusion that non-analytical contributions are visible in two dimensions. For the 2D Ising model, the estimate ω= 1.31 for the correction-to-scaling exponent is found.
Source: arXiv (Cornell University)
Authors: Orlov, E. V., Sokolov, A. I.
Institution: Saint Petersburg State Electrotechnical University
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394660522