Notes on One-loop Calculations in Light-cone Gauge

Abstract

Loop calculations in light-cone gauge must confront many technical complexities. We offer here a compendium of detailed light-cone calculations in Yang-Mills theories (with no matter fields). We consistently regulate the p^+=0 singularities through discretization of the p^+ component of momentum. Although it is more cumbersome than the Mandelstam-Leibbrandt prescription, this choice has the virtue of employing only positive norm states, retaining manifest unitarity. Some of the results given here are useful in a forthcoming paper with D. Chakrabarti and J. Qiu on scattering of glue by glue, specifically the results for the gluon self-energy and one-loop vertex corrections.

44 pages, 1 figure

References in corpus (6)

• A Worldsheet Description of Planar Yang-Mills Theory
• Large-momentum convergence of Hamiltonian bound-state dynamics of effective fermions in quantum field theory
• Harmonic oscillator force between heavy quarks
• Renormalization of Quantum Fields on the Lightcone Worldsheet I: Scalar Fields
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Cited by in corpus (8)

• More on Quantum Chiral Higher Spin Gravity
• One-loop MHV Rules and Pure Yang-Mills
• Scattering of Glue by Glue on the Light-cone Worldsheet I: Helicity Non-conserving Amplitudes
• Tree-Level Formalism
• Summing planar diagrams
• The MHV lagrangian vertices and the Parke-Taylor formula
• MHV Lagrangians for Yang--Mills and QCD
• On perturbative field theory and twistor string theory