Ultraviolet divergences in D=8 N=1 supersymmetric Yang–Mills theory

Ultraviolet divergences in D=8 N=1 supersymmetric Yang–Mills theory We consider the leading and subleading UV divergences for the four-point on-shell scattering amplitudes in the D=8 N=1 supersymmetric Yang–Mills theory in the planar limit for ladder-type diagrams. We obtain recurrence relations that allow obtaining the leading and subleading divergences in all loops purely algebraically starting from the one-loop diagrams (for the leading poles) and the two-loop diagrams (for the subleading poles). We sum the leading and subleading divergences over all loops using differential equations that are generalizations of the renormalization group equations to nonrenormalizable theories. We discuss the properties of the obtained solutions and the dependence of the constructed counterterms on the scheme. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Theoretical and Mathematical Physics Springer Journals

Ultraviolet divergences in D=8 N=1 supersymmetric Yang–Mills theory

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Publisher
Pleiades Publishing
Copyright
Copyright © 2017 by Pleiades Publishing, Ltd.
Subject
Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics
ISSN
0040-5779
eISSN
1573-9333
D.O.I.
10.1134/S0040577917070066
Publisher site
See Article on Publisher Site

Abstract

We consider the leading and subleading UV divergences for the four-point on-shell scattering amplitudes in the D=8 N=1 supersymmetric Yang–Mills theory in the planar limit for ladder-type diagrams. We obtain recurrence relations that allow obtaining the leading and subleading divergences in all loops purely algebraically starting from the one-loop diagrams (for the leading poles) and the two-loop diagrams (for the subleading poles). We sum the leading and subleading divergences over all loops using differential equations that are generalizations of the renormalization group equations to nonrenormalizable theories. We discuss the properties of the obtained solutions and the dependence of the constructed counterterms on the scheme.

Journal

Theoretical and Mathematical PhysicsSpringer Journals

Published: Aug 15, 2017

References

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