The box diagram in Yukawa theory
Bernard L. G. Bakker, Jorn K. Boomsma (Department of Physics and, Astrophysics, Vrije Universiteit), Chueng-Ryong Ji (Department of Physics,, North Carolina State University)
TL;DR
This paper demonstrates how to reconcile divergences in light-front calculations of the box diagram in Yukawa theory with covariant results by analyzing and taming light-front singularities.
Contribution
It provides a method to handle light-front singularities in the calculation of the box diagram, ensuring equivalence with covariant results in Yukawa theory.
Findings
Light-front diagrams are divergent individually but can be tamed.
The covariant box diagram is finite for spin-1/2 constituents exchanging spin-0 particles.
Equivalence between light-front and covariant results is established.
Abstract
We present a light-front calculation of the box diagram in Yukawa theory. The covariant box diagram is finite for the case of spin-1/2 constituents exchanging spin-0 particles. In light-front dynamics, however, individual time-ordered diagrams are divergent. We analyze the corresponding light-front singularities and show the equivalence between the light-front and covariant results by taming the singularities.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Physics of Superconductivity and Magnetism · Quantum Chromodynamics and Particle Interactions