Symmetric-group decomposition of SU\((N)\) group-theory constraints on four-, five-, and six-point color-ordered amplitudes at all loop orders

DOI10.1007/JHEP09(2012)069zbMath1397.81144arXiv1207.5511MaRDI QIDQ1795964

Alexander C. Edison, Stephen G. Naculich

Publication date: 16 October 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5511

zbMATH Keywords

scattering amplitudesgauge symmetry\(1/N\) expansionduality in gauge field theories

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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Scattering equations and virtuous kinematic numerators and dual-trace functions, Color structures and permutations, All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes, On powercounting in perturbative quantum gravity theories through color-kinematic duality, Two-loop scattering amplitudes from ambitwistor strings: from genus two to the nodal Riemann sphere, A minimal approach to the scattering of physical massless bosons, Identities amongst the two loop partial amplitudes of Yang-Mills theory, Group constraint relations for five-point amplitudes in gauge theories with \(\mathrm{SO}(N)\) and \(\mathrm{Sp}(2N)\) groups, All-loop-orders relation between Regge limits of \(\mathcal{N} = 4\) SYM and \(\mathcal{N} = 8\) supergravity four-point amplitudes

Cites Work

• Unnamed Item
• Constraints and generalized gauge transformations on tree-level gluon and graviton amplitudes
• A proof of the explicit minimal-basis expansion of tree amplitudes in gauge field theory
• \(SU(N)\) group-theory constraints on color-ordered five-point amplitudes at all loop orders
• Monodromy-like relations for finite loop amplitudes
• Relations of loop partial amplitudes in gauge theory by Unitarity cut method
• One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
• Yang-Mills amplitude relations at loop level from non-adjacent BCFW shifts
• Closed string amplitudes as single-valued open string amplitudes
• Generic multiloop methods and application to {\cal N}=4 super-Yang–Mills