Calculations in the Light-Cone Representation

TL;DR

This paper discusses the advantages and challenges of using the light-cone representation in quantum field theory, focusing on induced operators and regularization/renormalization for hadron property calculations in QCD.

Contribution

It explains the concept of induced operators and reports on recent progress in developing regularization and renormalization procedures in the light-cone framework.

Findings

Understanding of induced operators in light-cone quantization

Progress in regularization and renormalization methods

Insights into solving bound state problems in QCD

Abstract

For the problem of calculating bound states in quantum field theory, the light-cone representation offers advantages over the more common equal-time representation. It also has subtleties and disadvantages compared to the equal-time representation. If current efforts to use the light-cone representation to solve for the properties of hadrons in QCD are to succeed, at least two problems have to be solved: we must find the induced operators; we must develop an effective procedure of regularization and renormalization. In this paper I will try to explain what an induced operator is and say what we know about them and will report on recent attempts to develop an effective procedure of regularization and renormalization.