scholarly journals High energy behavior of a six-point R-current correlator in $$ \mathcal{N} = 4 $$ supersymmetric Yang-Mills theory

2010 ◽  
Vol 2010 (5) ◽  
Author(s):  
Jochen Bartels ◽  
Carlo Ewerz ◽  
Martin Hentschinski ◽  
Anna-Maria Mischler
Keyword(s):  
High Energy ◽  
Yang Mills ◽  
High Energy Behavior ◽  
Energy Behavior

scholarly journals High Energy Behavior in Maximally Supersymmetric Gauge Theories in Various Dimensions

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 104 ◽  
Author(s):  
Dmitry Kazakov ◽  
Leonid Bork ◽  
Arthur Borlakov ◽  
Denis Tolkachev ◽  
Dmitry Vlasenko
Keyword(s):  
Renormalization Constant ◽  
Finite Energy ◽  
High Energy ◽  
Four Dimensions ◽  
Yang Mills ◽  
High Energy Behavior ◽  
Planar Limit ◽  
Energy Behavior ◽  
Supersymmetric Gauge ◽  
Recursive Relations

Maximally supersymmetric field theories in various dimensions are believed to possess special properties due to extended supersymmetry. In four dimensions, they are free from UV divergences but are IR divergent on shell; in higher dimensions, on the contrary, they are IR finite but UV divergent. In what follows, we consider the four-point on-shell scattering amplitudes in D = 6 , 8 , 10 supersymmetric Yang–Mills theory in the planar limit within the spinor-helicity and on-shell supersymmetric formalism. We study the UV divergences and demonstrate how one can sum them over all orders of PT. Analyzing the R -operation, we obtain the recursive relations and derive differential equations that sum all leading, subleading, etc., divergences in all loops generalizing the standard RG formalism for the case of nonrenormalizable interactions. We then perform the renormalization procedure, which differs from the ordinary one in that the renormalization constant becomes the operator depending on kinematics. Solving the obtained RG equations for particular sets of diagrams analytically and for the general case numerically, we analyze their high energy behavior and find that, while each term of PT increases as a power of energy, the total sum behaves differently: in D = 6 two partial amplitudes decrease with energy and the third one increases exponentially, while in D = 8 and 10 the amplitudes possess an infinite number of periodic poles at finite energy.

scholarly journals High-energy behavior of Mellin amplitudes

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Matthew Dodelson ◽  
Hirosi Ooguri
Keyword(s):  
High Energy ◽  
High Energy Behavior ◽  
Energy Behavior

Low-Energy Theorems and High-Energy Behavior

1972 ◽  
Vol 6 (9) ◽  
pp. 2483-2487
Author(s):  
Michael Creutz
Keyword(s):  
High Energy ◽  
Low Energy ◽  
High Energy Behavior ◽  
Energy Behavior

The high energy behavior of open string scattering

1989 ◽  
Vol 326 (1) ◽  
pp. 73-107 ◽  
Author(s):  
David J. Gross ◽  
J.L. Mañes
Keyword(s):  
Open String ◽  
High Energy ◽  
High Energy Behavior ◽  
Energy Behavior
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