Solid quantization for non-point particles

TL;DR

This paper introduces a new solid quantization method for non-point particles in quantum field theory, aiming to systematically address divergences in loop integrals, especially relevant for effective theories involving hadrons.

Contribution

It proposes novel quantization conditions for non-point particles, providing a systematic way to handle divergences in quantum field calculations.

Findings

Divergences in loop integrals can be systematically treated using solid quantization.

Applicable to effective field theories with hadronic degrees of freedom.

Potentially extends to non-point elemental particles in quantum field theory.

Abstract

In quantum field theory, elemental particles are assumed to be point particles. As a result, the loop integrals are divergent in many cases. Regularization and renormalization are necessary in order to get the physical finite results from the infinite, divergent loop integrations. We propose new quantization conditions for non-point particles. With this solid quantization, divergence could be treated systematically. This method is useful for effective field theory which is on hadron degrees of freedom. The elemental particles could also be non-point ones. They can be studied in this approach as well.