Scattering on the Moduli Space of N=4 Super Yang-Mills

Abstract

We calculate one-loop scattering amplitudes in N=4 super Yang-Mills theory away from the origin of the moduli space and demonstrate that the results are extremely simple, in much the same way as in the conformally invariant theory. Specifically, we consider the model where an SU(2) gauge group is spontaneously broken down to U(1). The complete component Lagrange density of the model is given in a form useful for perturbative calculations. We argue that the scattering amplitudes with massive external states deserve further study. Finally, our work shows that loop corrections can be readily computed in a mass-regulated N=4 theory, which may be relevant in trying to connect weak-coupling results with those at strong coupling, as discussed recently by Alday and Maldacena.

21 pages, 5 figures; in v2: fixed eq. (A.2); in v3: trivial typos corrected in text

References in corpus (3)

• Gluon scattering amplitudes at strong coupling
• On-Shell Methods in Perturbative QCD
• Supersymmetry Relations and MHV Amplitudes in Superstring Theory

Cited by in corpus (12)

• Scattering into the fifth dimension of N=4 super Yang-Mills
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Massive amplitudes on the Coulomb branch of N=4 SYM
• More loops and legs in Higgs-regulated N=4 SYM amplitudes
• Simple loop integrals and amplitudes in N=4 SYM
• No triangles on the moduli space of maximally supersymmetric gauge theory
• Dual conformal symmetry at loop level; massive regularization
• The Coulomb-branch S-matrix from massless amplitudes
• On three-point functions in ABJM and the latitude Wilson loop
• One-loop N = 4 super Yang-Mills scattering amplitudes in d dimensions, relation to open strings and polygonal Wilson loops
• Coulomb Phase Gluon Scattering at Strong Coupling
• A note on scattering amplitudes on the moduli space of ABJM