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2019•Journal of High Energy PhysicsOpen access

Algorithmic construction of SYM multiparticle superfields in the BCJ gauge

Elliot Bridges, Carlos R. Mafra

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Abstract

Abstract We write down closed formulas for all necessary steps to obtain multiparticle super Yang-Mills superfields in the so-called BCJ gauge. The superfields in this gauge have obvious applications in the quest for finding BCJ-satisfying representations of amplitudes. As a benefit of having these closed formulas, we identify the explicit finite gauge transformation responsible for attaining the BCJ gauge. To do this, several combinatorial maps on words are introduced and associated identities rigorously proven.

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Abstract We write down closed formulas for all necessary steps to obtain multiparticle super Yang-Mills superfields in the so-called BCJ gauge. The superfields in this gauge have obvious applications in the quest for finding BCJ-satisfying representations of amplitudes. As a benefit of having these closed formulas, we identify the explicit finite gauge transformation responsible for attaining the BCJ gauge. To do this, several combinatorial maps on words are introduced and associated identities rigorously proven.

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Available abstract

Abstract We write down closed formulas for all necessary steps to obtain multiparticle super Yang-Mills superfields in the so-called BCJ gauge. The superfields in this gauge have obvious applications in the quest for finding BCJ-satisfying representations of amplitudes. As a benefit of having these closed formulas, we identify the explicit finite gauge transformation responsible for attaining the BCJ gauge. To do this, several combinatorial maps on words are introduced and associated identities rigorously proven.

Key concepts: Gauge (firearms), Superfield, Gauge theory, Transformation (genetics), Supersymmetric gauge theory, Physics, Theoretical physics, Mathematical physics

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