Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N=4 SYM

A bstract In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in N = 4 SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor par...

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Bibliographic Details
Published in:The journal of high energy physics 2017-04, Vol.2017 (4)
Main Authors: Bork, L. V., Onishchenko, A. I.
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
Elementary Particles
Form factors
Gluons
Helicity
High energy physics
Integrals
Invariants
Inverse scattering
Momentum
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Representations
String Theory
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Summary:A bstract In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in N = 4 SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor parameterizations. The presented conjecture is successfully checked against BCFW results for MHV n , NMHV 4 and NMHV 5 off-shell amplitudes. We have also verified that our Grassmannian integral representation correctly reproduces soft (on-shell) limit for the off-shell gluon momentum. It is shown that the (deformed) off-shell amplitude expressions could be also obtained using quantum inverse scattering method for auxiliary g l 4 | 4 super spin chain.
ISSN:1029-8479
DOI:10.1007/JHEP04(2017)019