6533b7ddfe1ef96bd1273647

RESEARCH PRODUCT

Heavy quark decomposition of the S matrix and its relation to the pinch technique.

Kostas PhilippidesJoannis PapavassiliouMartin Schaden

subject

QuarkPhysicsHigh Energy Physics - TheoryParticle physicsWilson loop010308 nuclear & particles physicsComputer Science::Information RetrievalHigh Energy Physics::LatticePropagatorFísicaFOS: Physical sciences01 natural sciencesMatrix (mathematics)Self-energyHigh Energy Physics - Theory (hep-th)0103 physical sciencesGauge theoryInvariant (mathematics)010306 general physicsS-matrixMathematical physics

description

We propose a decomposition of the S-matrix into individually gauge invariant sub-amplitudes, which are kinematically akin to propagators, vertices, boxes, etc. This decompsition is obtained by considering limits of the S-matrix when some or all of the external particles have masses larger than any other physical scale. We show at the one-loop level that the effective gluon self-energy so defined is physically equivalent to the corresponding gauge independent self-energy obtained in the framework of the pinch technique. The generalization of this procedure to arbitrary gluonic $n$-point functions is briefly discussed.

10.1103/physrevd.51.6364https://pubmed.ncbi.nlm.nih.gov/10018400