Borinsky, M, Gracey, JA, Kompaniets, MV and Schnetz, O
(2021)
Five-loop renormalization of φ theory with applications to the Lee-Yang edge singularity and percolation theory.
PHYSICAL REVIEW D, 103 (11).
116024-.
|
Text
percolation.pdf - Submitted version Download (949kB) | Preview |
Abstract
We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to $\phi^3$ theory and compute the $\beta$ function, the wave function anomalous dimension as well as the mass anomalous dimension in the $\overline{\mbox{MS}}$ scheme to five loops. From the results we derive the corresponding renormalization group functions for the Lee-Yang edge singularity problem and percolation theory. After determining the $\varepsilon$ expansions of the respective critical exponents to $\mathcal{O}(\varepsilon^5)$ we apply recent resummation technology to obtain improved exponent estimates in 3, 4 and 5 dimensions. These compare favourably with estimates from fixed dimension numerical techniques and refine the four loop results. To assist with this comparison we collated a substantial amount of data from numerical techniques which are included in tables for each exponent.
| Item Type: | Article |
|---|---|
| Additional Information: | 54 pages, 15 figures; v2: additional summary tables and references added - version to be published in PRD |
| Uncontrolled Keywords: | hep-th, hep-th, cond-mat.dis-nn, cond-mat.stat-mech, hep-lat |
| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 08 Apr 2021 09:21 |
| Last Modified: | 15 Mar 2024 02:20 |
| DOI: | 10.1103/PhysRevD.103.116024 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3118234 |
Dimensions
Dimensions
