D=5 maximally supersymmetric Yang-Mills theory diverges at six loops

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

D=5 maximally supersymmetric Yang-Mills theory diverges at six loops. / Bern, Zvi; Carrasco, John Joseph M.; Dixon, Lance J.; Douglas, Michael R.; von Hippel, Matt; Johansson, Henrik.

I: Physical Review D, Bind 87, Nr. 2, 025018, 01.01.2013.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bern, Z, Carrasco, JJM, Dixon, LJ, Douglas, MR, von Hippel, M & Johansson, H 2013, 'D=5 maximally supersymmetric Yang-Mills theory diverges at six loops', Physical Review D, bind 87, nr. 2, 025018. https://doi.org/10.1103/PhysRevD.87.025018

APA

Bern, Z., Carrasco, J. J. M., Dixon, L. J., Douglas, M. R., von Hippel, M., & Johansson, H. (2013). D=5 maximally supersymmetric Yang-Mills theory diverges at six loops. Physical Review D, 87(2), [025018]. https://doi.org/10.1103/PhysRevD.87.025018

Vancouver

Bern Z, Carrasco JJM, Dixon LJ, Douglas MR, von Hippel M, Johansson H. D=5 maximally supersymmetric Yang-Mills theory diverges at six loops. Physical Review D. 2013 jan. 1;87(2). 025018. https://doi.org/10.1103/PhysRevD.87.025018

Author

Bern, Zvi ; Carrasco, John Joseph M. ; Dixon, Lance J. ; Douglas, Michael R. ; von Hippel, Matt ; Johansson, Henrik. / D=5 maximally supersymmetric Yang-Mills theory diverges at six loops. I: Physical Review D. 2013 ; Bind 87, Nr. 2.

Bibtex

@article{908a2f0a939847f08e6508324f9ab992,
title = "D=5 maximally supersymmetric Yang-Mills theory diverges at six loops",
abstract = "The connection of maximally supersymmetric Yang-Mills theory to the (2,0) theory in six dimensions has raised the possibility that it might be perturbatively ultraviolet finite in five dimensions. We test this hypothesis by computing the coefficient of the first potential ultraviolet divergence of planar (large Nc) maximally supersymmetric Yang-Mills theory in D=5, which occurs at six loops. We show that the coefficient is nonvanishing. Furthermore, the numerical value of the divergence falls very close to an approximate exponential formula based on the coefficients of the divergences through five loops. This formula predicts the approximate values of the ultraviolet divergence at loop orders L>6 in the critical dimension D=4+6/L. To obtain the six-loop divergence we first construct the planar six-loop four-point amplitude integrand using generalized unitarity. The ultraviolet divergence follows from a set of vacuum integrals, which are obtained by expanding the integrand in the external momenta. The vacuum integrals are integrated via sector decomposition, using a modified version of the FIESTA program.",
keywords = "General properties of perturbation theory, Supersymmetry, Analytic properties of S matrix",
author = "Zvi Bern and Carrasco, {John Joseph M.} and Dixon, {Lance J.} and Douglas, {Michael R.} and {von Hippel}, Matt and Henrik Johansson",
year = "2013",
month = jan,
day = "1",
doi = "10.1103/PhysRevD.87.025018",
language = "English",
volume = "87",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - D=5 maximally supersymmetric Yang-Mills theory diverges at six loops

AU - Bern, Zvi

AU - Carrasco, John Joseph M.

AU - Dixon, Lance J.

AU - Douglas, Michael R.

AU - von Hippel, Matt

AU - Johansson, Henrik

PY - 2013/1/1

Y1 - 2013/1/1

N2 - The connection of maximally supersymmetric Yang-Mills theory to the (2,0) theory in six dimensions has raised the possibility that it might be perturbatively ultraviolet finite in five dimensions. We test this hypothesis by computing the coefficient of the first potential ultraviolet divergence of planar (large Nc) maximally supersymmetric Yang-Mills theory in D=5, which occurs at six loops. We show that the coefficient is nonvanishing. Furthermore, the numerical value of the divergence falls very close to an approximate exponential formula based on the coefficients of the divergences through five loops. This formula predicts the approximate values of the ultraviolet divergence at loop orders L>6 in the critical dimension D=4+6/L. To obtain the six-loop divergence we first construct the planar six-loop four-point amplitude integrand using generalized unitarity. The ultraviolet divergence follows from a set of vacuum integrals, which are obtained by expanding the integrand in the external momenta. The vacuum integrals are integrated via sector decomposition, using a modified version of the FIESTA program.

AB - The connection of maximally supersymmetric Yang-Mills theory to the (2,0) theory in six dimensions has raised the possibility that it might be perturbatively ultraviolet finite in five dimensions. We test this hypothesis by computing the coefficient of the first potential ultraviolet divergence of planar (large Nc) maximally supersymmetric Yang-Mills theory in D=5, which occurs at six loops. We show that the coefficient is nonvanishing. Furthermore, the numerical value of the divergence falls very close to an approximate exponential formula based on the coefficients of the divergences through five loops. This formula predicts the approximate values of the ultraviolet divergence at loop orders L>6 in the critical dimension D=4+6/L. To obtain the six-loop divergence we first construct the planar six-loop four-point amplitude integrand using generalized unitarity. The ultraviolet divergence follows from a set of vacuum integrals, which are obtained by expanding the integrand in the external momenta. The vacuum integrals are integrated via sector decomposition, using a modified version of the FIESTA program.

KW - General properties of perturbation theory

KW - Supersymmetry

KW - Analytic properties of S matrix

U2 - 10.1103/PhysRevD.87.025018

DO - 10.1103/PhysRevD.87.025018

M3 - Journal article

VL - 87

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 2

M1 - 025018

ER -

ID: 279625814