Document Type
Article
Publication Date
7-2013
Keywords
Optics, Physics
Abstract
We propose an alternative technique for numerically renormalizing quantum field theories based on their Hamiltonian formulation. This method is nonperturbative in nature and, therefore, exact to all orders. It does not require any correlation functions or Feynman diagrams. We illustrate this method for a model Yukawa-like theory describing the interaction of electrons and positrons with model photons in one spatial dimension. We show that, after mass renormalization of the fermionic and bosonic single-particle states, all other states in the Fock space have finite energies, which are independent of the momentum cutoff.
Recommended Citation
Grobe, Rainer; Su, Qichang; and Wagner, R E., "Computational renormalization scheme for quantum field theories" (2013). Faculty publications – Physics. 14.
https://ir.library.illinoisstate.edu/fpphys/14
Comments
Originally published in Physical Review A by the American Physical Society.