Recursion relations for multi-gluon off-shell amplitudes on the light-front and Wilson lines
arXiv:1503.02066 · doi:10.1016/j.nuclphysb.2015.03.029
Abstract
We analyze the off-shell scattering amplitudes in the framework of the light-front perturbation theory. It is shown that the previously derived recursion relation between tree level off-shell amplitudes in this formalism actually resums whole classes of graphs into a Wilson line. More precisely, we establish a correspondence between the light-front methods for the computation of the off-shell amplitudes and the approach which makes use of the matrix elements of straight infinite Wilson lines, which are manifestly gauge invariant objects. Furthermore, since it is needed to explicitly verify the gauge invariance of light-front amplitudes, it is demonstrated that the Ward identities in this framework need additional instantaneous terms in the light-front graphs.
26 pages, a few figures
References in corpus (21)
- Parton distributions for the LHC
- New parton distributions for collider physics
- ALPGEN, a generator for hard multiparton processes in hadronic collisions
- Quantum Chromodynamics and Other Field Theories on the Light Cone
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- New Recursion Relations for Tree Amplitudes of Gluons
- Comix, a new matrix element generator
- Multi-Parton Amplitudes in Gauge Theories
- JaxoDraw: A graphical user interface for drawing Feynman diagrams
- Fragmentation Functions for Pions, Kaons, and Protons at Next-to-Leading Order
- Calculating Scattering Amplitudes Efficiently
- Gauge invariant effective action for high-energy processes in QCD
- Feynman rules for effective Regge action
- All tree-level amplitudes in massless QCD
- Helicity amplitudes for high-energy scattering
- Exact kinematics in the small x evolution of the color dipole and gluon cascade
- Wilson lines and gauge invariant off-shell amplitudes
- BCFW recursion for off-shell gluons
- CAMORRA: a C++ library for recursive computation of particle scattering amplitudes
- Recursion relations and scattering amplitudes in the light-front formalism
- Gluon cascades and amplitudes in light-front perturbation theory
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- Numerical evaluation of multi-gluon amplitudes for High Energy Factorization
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- Light-Front Holography, Color Confinement, and Supersymmetric Features of QCD
- Exploring straight infinite Wilson lines in the Self Dual and the MHV Lagrangians
- Off-shell amplitudes as boundary integrals of analytically continued Wilson line slope
- A new Wilson line-based action for gluodynamics
- Wilson Lines and Boundary Operators of BCFW Shifts