Overcoming Nonrenormalizability
John R. Klauder
TL;DR
This paper proposes a novel approach to constructing a nontrivial quantum field theory from ^n theories in Euclidean space by introducing a specific counterterm and additional procedures to achieve a meaningful continuum limit.
Contribution
It introduces a new counterterm and procedures that enable the continuum limit of ^n theories ( ) to be nontrivial, addressing nonrenormalizability issues.
Findings
Successfully combines counterterm with procedures for nontrivial continuum limit
Provides arguments supporting the unconventional counterterm choice
Achieves a nontrivial quantum field theory in the continuum limit
Abstract
A suitable counterterm for a Euclidean space lattice version of \phi^4_n theories, n\ge 4, is combined with several additional procedures so that in the continuum limit the resultant quantum field theory is nontrivial. Arguments to support this unconventional choice are presented.
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Taxonomy
TopicsTheoretical and Computational Physics · Quantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics