Standard

Five-loop renormalization of φ3 theory with applications to the Lee-Yang edge singularity and percolation theory. / Borinsky, M.; Gracey, J. A.; Kompaniets, M. V.; Schnetz, O.

In: Physical Review D, Vol. 103, No. 11, 116024, 28.06.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Borinsky, M, Gracey, JA, Kompaniets, MV & Schnetz, O 2021, 'Five-loop renormalization of φ3 theory with applications to the Lee-Yang edge singularity and percolation theory', Physical Review D, vol. 103, no. 11, 116024. https://doi.org/10.1103/PhysRevD.103.116024

APA

Borinsky, M., Gracey, J. A., Kompaniets, M. V., & Schnetz, O. (2021). Five-loop renormalization of φ3 theory with applications to the Lee-Yang edge singularity and percolation theory. Physical Review D, 103(11), [116024]. https://doi.org/10.1103/PhysRevD.103.116024

Vancouver

Borinsky M, Gracey JA, Kompaniets MV, Schnetz O. Five-loop renormalization of φ3 theory with applications to the Lee-Yang edge singularity and percolation theory. Physical Review D. 2021 Jun 28;103(11). 116024. https://doi.org/10.1103/PhysRevD.103.116024

Author

Borinsky, M. ; Gracey, J. A. ; Kompaniets, M. V. ; Schnetz, O. / Five-loop renormalization of φ3 theory with applications to the Lee-Yang edge singularity and percolation theory. In: Physical Review D. 2021 ; Vol. 103, No. 11.

BibTeX

@article{c1aa2d2c0f644ba6a09bf41881e56302,
title = "Five-loop renormalization of φ3 theory with applications to the Lee-Yang edge singularity and percolation theory",
abstract = "We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to φ3 theory and compute the β function, the wave function anomalous dimension as well as the mass anomalous dimension in the 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 µ expansions of the respective critical exponents to O( µ5) we apply recent resummation technology to obtain improved exponent estimates in three, four and five dimensions. These compare favorably 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.",
keywords = "CRITICAL EXPONENTS, PERTURBATION-THEORY, CRITICAL-BEHAVIOR, CONFORMAL-INVARIANCE, GRAPHICAL FUNCTIONS, MONTE-CARLO, MODEL, EXPANSION, SERIES, ORDER",
author = "M. Borinsky and Gracey, {J. A.} and Kompaniets, {M. V.} and O. Schnetz",
note = "Publisher Copyright: {\textcopyright} 2021 authors.",
year = "2021",
month = jun,
day = "28",
doi = "10.1103/PhysRevD.103.116024",
language = "English",
volume = "103",
journal = "Physical review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "11",

}

RIS

TY - JOUR

T1 - Five-loop renormalization of φ3 theory with applications to the Lee-Yang edge singularity and percolation theory

AU - Borinsky, M.

AU - Gracey, J. A.

AU - Kompaniets, M. V.

AU - Schnetz, O.

N1 - Publisher Copyright: © 2021 authors.

PY - 2021/6/28

Y1 - 2021/6/28

N2 - We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to φ3 theory and compute the β function, the wave function anomalous dimension as well as the mass anomalous dimension in the 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 µ expansions of the respective critical exponents to O( µ5) we apply recent resummation technology to obtain improved exponent estimates in three, four and five dimensions. These compare favorably 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.

AB - We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to φ3 theory and compute the β function, the wave function anomalous dimension as well as the mass anomalous dimension in the 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 µ expansions of the respective critical exponents to O( µ5) we apply recent resummation technology to obtain improved exponent estimates in three, four and five dimensions. These compare favorably 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.

KW - CRITICAL EXPONENTS

KW - PERTURBATION-THEORY

KW - CRITICAL-BEHAVIOR

KW - CONFORMAL-INVARIANCE

KW - GRAPHICAL FUNCTIONS

KW - MONTE-CARLO

KW - MODEL

KW - EXPANSION

KW - SERIES

KW - ORDER

UR - http://www.scopus.com/inward/record.url?scp=85109031047&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.103.116024

DO - 10.1103/PhysRevD.103.116024

M3 - Article

AN - SCOPUS:85109031047

VL - 103

JO - Physical review D

JF - Physical review D

SN - 2470-0010

IS - 11

M1 - 116024

ER -

ID: 85608030