Loop integrals in three outstanding gauges: Feynman, Light-cone and Coulomb
arXiv:hep-th/0008143 · doi:10.1006/jcph.2000.6694
Abstract
We apply negative dimensional integration method (NDIM) to three outstanding gauges: Feynman, light-cone and Coulomb gauges. Our aim is to show that NDIM is a very suitable technique to deal with loop integrals, being them originated from any gauge choice. In Feynman gauge we perform scalar two-loop four-point massless integrals; in the light-cone gauge we calculate scalar two-loop integrals contributing for two-point functions without any kind of prescriptions, since NDIM can abandon such devices -- this calculation is the first test of our prescriptionless method beyond one-loop order; finally, for the Coulomb gauge we consider a four propagator massless loop integral, in the split dimensional regularization context.
12 pages, 2 figures, style files included
References in corpus (9)
- Scalar One-Loop Integrals using the Negative-Dimension Approach
- Application of the negative-dimension approach to massless scalar box integrals
- Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Pade-Borel resummation
- Split dimensional regularization for the Coulomb gauge at two loops
- The light-cone gauge without prescriptions
- On the Consistency of the Exact Renormalization Group Approach Applied to Gauge Theories in Algebraic Non-Covariant Gauges
- Two-Loop Quark Self-Energy in a New Formalism (II): Renormalization of the Quark Propagator in the Light-Cone Gauge
- Prescriptionless light-cone integrals
- First results for the Coulomb gauge integrals using NDIM