A note on the boundary contribution with bad deformation in gauge theory

Abstract

Motivated by recently progresses in the study of BCFW recursion relation with nonzero boundary contributions for theories with scalars and fermions\cite{Bofeng}, in this short note we continue the study of boundary contributions of gauge theory with the bad deformation. Unlike cases with scalars or fermions, it is hard to use Feynman diagrams directly to obtain boundary contributions, thus we propose another method based on the $\mathcal{N}=4$ SYM theory. Using this method, we are able to write down a useful on-shell recursion relation to calculate boundary contributions from related theories. Our result shows the cut-constructibility of gauge theory even with the bad deformation in some generalized sense.

16 pages, 7 figures

References in corpus (8)

• A Duality For The S Matrix
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• The Grassmannian Origin Of Dual Superconformal Invariance
• Consistency Conditions on the S-Matrix of Massless Particles
• Unification of Residues and Grassmannian Dualities
• Taming Tree Amplitudes In General Relativity
• BCFW Recursion Relation with Nonzero Boundary Contribution
• No triangles on the moduli space of maximally supersymmetric gauge theory

Cited by in corpus (36)

• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• Tree-level Amplitudes in the Nonlinear Sigma Model
• Expansion of Einstein-Yang-Mills Amplitude
• Exploring the S-Matrix of Massless Particles
• BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
• On BCFW shifts of integrands and integrals
• An Introduction to On-shell Recursion Relations
• On the Tree-Level Structure of Scattering Amplitudes of Massless Particles
• New structures in scattering amplitudes: a review
• Tree-Level Formalism
• Yang-Mills amplitude relations at loop level from non-adjacent BCFW shifts
• KLT and New Relations for N=8 SUGRA and N=4 SYM
• U(1)-decoupling, KK and BCJ relations in $\mathcal{N}=4$ SYM
• On Primary Relations at Tree-level in String Theory and Field Theory
• Note on New KLT relations
• Boundary Contributions Using Fermion Pair Deformation
• Pomerons and BCFW recursion relations for strings on D-branes
• On tree amplitudes with gluons coupled to gravitons
• Determination of Boundary Contributions in Recursion Relation
• Integrands for QCD rational terms and N=4 SYM from massive CSW rules
• Form Factor and Boundary Contribution of Amplitude
• On-shell recursion for massive fermion currents
• Note on Permutation Sum of Color-ordered Gluon Amplitudes
• On Multi-step BCFW Recursion Relations
• Massive On-shell Recursion Relations for n-point Amplitudes
• Roots of Amplitudes
• General tree-level amplitudes by factorization limits
• Boundary Operators of BCFW Recursion Relation
• BCFW Deformation and Regge Limit
• Recursion Relation for Boundary Contribution
• Scattering amplitudes in gauge theories with and without supersymmetry
• Boundary Contributions of On-shell Recursion Relations With Multiple-line Deformation
• Wilson Lines and Boundary Operators of BCFW Shifts
• On bound states in Quantum Field Theory
• Exploration of the Tree-Level S-Matrix of Massless Particles