scholarly journals Subleading terms in the collinear limit of Yang–Mills amplitudes

2015 ◽  
Vol 750 ◽  
pp. 587-590 ◽  
Author(s):  
Stephan Stieberger ◽  
Tomasz R. Taylor
Keyword(s):  
Yang Mills ◽  
Collinear Limit

scholarly journals Evaluating the six-point remainder function near the collinear limit

2014 ◽  
Vol 29 (27) ◽  
pp. 1450154 ◽  
Author(s):  
Georgios Papathanasiou
Keyword(s):  
Scattering Amplitudes ◽  
High Energy Phys ◽  
Bound State ◽  
High Energy ◽  
Recent Proposal ◽  
Computational Tools ◽  
Yang Mills ◽  
Remainder Function ◽  
Leading Term ◽  
Collinear Limit

The simplicity of maximally supersymmetric Yang–Mills theory makes it an ideal theoretical laboratory for developing computational tools, which eventually find their way to QCD applications. In this contribution, we continue the investigation of a recent proposal by Basso, Sever and Vieira, for the nonperturbative description of its planar scattering amplitudes, as an expansion around collinear kinematics. The method of G. Papathanasiou, J. High Energy Phys.1311, 150 (2013), arXiv:1310.5735, for computing the integrals the latter proposal predicts for the leading term in the expansion of the six-point remainder function, is extended to one of the subleading terms. In particular, we focus on the contribution of the two-gluon bound state in the dual flux tube picture, proving its general form at any order in the coupling, and providing explicit expressions up to six loops. These are included in the ancillary file accompanying the version of this paper on the arXiv.

scholarly journals The two-loop remainder function for eight and nine particles

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
John Golden ◽  
Andrew J. McLeod
Keyword(s):  
Algebraic Structure ◽  
Analytic Functions ◽  
Additive Constant ◽  
Multiplicity Results ◽  
Yang Mills ◽  
Remainder Function ◽  
Unique Decomposition ◽  
Multiple Polylogarithms ◽  
Functional Forms ◽  
Collinear Limit

Abstract Two-loop MHV amplitudes in planar $$ \mathcal{N} $$ N = 4 supersymmetric Yang Mills theory are known to exhibit many intriguing forms of cluster-algebraic structure. We leverage this structure to upgrade the symbols of the eight- and nine-particle amplitudes to complete analytic functions. This is done by systematically projecting onto the components of these amplitudes that take different functional forms, and matching each component to an ansatz of multiple polylogarithms with negative cluster-coordinate arguments. The remaining additive constant can be determined analytically by comparing the collinear limit of each amplitude to known lower-multiplicity results. We also observe that the nonclassical part of each of these amplitudes admits a unique decomposition in terms of a specific A3 cluster polylogarithm, and explore the numerical behavior of the remainder function along lines in the positive region.

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

scholarly journals Wave packet dynamics in Yang-Mills theory

1995 ◽  
Vol 52 (4) ◽  
pp. 2402-2411 ◽  
Author(s):  
C. R. Hu ◽  
S. G. Matinyan ◽  
B. Müller ◽  
A. Trayanov ◽  
T. M. Gould ◽  
...  
Keyword(s):  
Wave Packet ◽  
Yang Mills ◽  
Wave Packet Dynamics

scholarly journals Proof of ultraviolet finiteness for a planar non-supersymmetric Yang–Mills theory

2007 ◽  
Vol 783 (3) ◽  
pp. 227-237 ◽  
Author(s):  
Sudarshan Ananth ◽  
Stefano Kovacs ◽  
Hidehiko Shimada
Keyword(s):  
Yang Mills
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