D=5 maximally supersymmetric Yang-Mills theory diverges at six loops
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- PhysRevD.87.025018(1)
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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.
Originalsprog | Engelsk |
---|---|
Artikelnummer | 025018 |
Tidsskrift | Physical Review D |
Vol/bind | 87 |
Udgave nummer | 2 |
Antal sider | 18 |
ISSN | 2470-0010 |
DOI | |
Status | Udgivet - 1 jan. 2013 |
Eksternt udgivet | Ja |
ID: 279625814