Question of a Possible Infrared Zero in the Beta Function of the Finite- N Gross-Neveu Model

Gongjun Choi; Thomas A. Ryttov; Robert Shrock

doi:10.1103/PhysRevD.95.025012

Question of a Possible Infrared Zero in the Beta Function of the Finite- N Gross-Neveu Model

Gongjun Choi
, Thomas A. Ryttov
, Robert Shrock

Institute for Theoretical Physics

Stony Brook University
University of Southern Denmark

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

10 Scopus citations

Abstract

We investigate whether the beta function of the finite-N Gross-Neveu model, as calculated up to the four-loop level, exhibits evidence for an infrared zero. As part of our analysis, we calculate and analyze Padé approximants to this beta function and evaluate effects of scheme dependence. From our study, we find that in the range of coupling where the perturbative calculation of the four-loop beta function is reliable, it does not exhibit robust evidence for an infrared zero.

Original language	English
Article number	025012
Journal	Physical Review D
Volume	95
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.95.025012
State	Published - Jan 17 2017

Access to Document

10.1103/PhysRevD.95.025012

Cite this

@article{6bbd85c47a1a47eaaf093608f44915e4,

title = "Question of a Possible Infrared Zero in the Beta Function of the Finite- N Gross-Neveu Model",

abstract = "We investigate whether the beta function of the finite-N Gross-Neveu model, as calculated up to the four-loop level, exhibits evidence for an infrared zero. As part of our analysis, we calculate and analyze Pad{\'e} approximants to this beta function and evaluate effects of scheme dependence. From our study, we find that in the range of coupling where the perturbative calculation of the four-loop beta function is reliable, it does not exhibit robust evidence for an infrared zero.",

author = "Gongjun Choi and Ryttov, \{Thomas A.\} and Robert Shrock",

note = "Publisher Copyright: {\textcopyright} 2017 American Physical Society.",

year = "2017",

month = jan,

day = "17",

doi = "10.1103/PhysRevD.95.025012",

language = "English",

volume = "95",

journal = "Physical Review D",

issn = "2470-0010",

number = "2",

}

TY - JOUR

T1 - Question of a Possible Infrared Zero in the Beta Function of the Finite- N Gross-Neveu Model

AU - Choi, Gongjun

AU - Ryttov, Thomas A.

AU - Shrock, Robert

PY - 2017/1/17

Y1 - 2017/1/17

N2 - We investigate whether the beta function of the finite-N Gross-Neveu model, as calculated up to the four-loop level, exhibits evidence for an infrared zero. As part of our analysis, we calculate and analyze Padé approximants to this beta function and evaluate effects of scheme dependence. From our study, we find that in the range of coupling where the perturbative calculation of the four-loop beta function is reliable, it does not exhibit robust evidence for an infrared zero.

AB - We investigate whether the beta function of the finite-N Gross-Neveu model, as calculated up to the four-loop level, exhibits evidence for an infrared zero. As part of our analysis, we calculate and analyze Padé approximants to this beta function and evaluate effects of scheme dependence. From our study, we find that in the range of coupling where the perturbative calculation of the four-loop beta function is reliable, it does not exhibit robust evidence for an infrared zero.

UR - https://www.scopus.com/pages/publications/85020161752

U2 - 10.1103/PhysRevD.95.025012

DO - 10.1103/PhysRevD.95.025012

M3 - Article

AN - SCOPUS:85020161752

SN - 2470-0010

VL - 95

JO - Physical Review D

JF - Physical Review D

IS - 2

M1 - 025012

ER -

Question of a Possible Infrared Zero in the Beta Function of the Finite- N Gross-Neveu Model

Abstract

Access to Document

Other files and links

Fingerprint

Cite this