Overcoming Nonrenormalizability

2002/09/30 by John R. Klauder
Physics and Astronomy · Mathematics · #hep-th #gr-qc #math-ph #math.MP #quant-ph

paper · pdf

published as Lett.Math.Phys. 63 (2003) 229-239 · 15 pages, Version to appear in Letters in Mathematical Physics

arxiv created 2003/03/07 · arxiv updated 2009/11/30

Abstract

A suitable counterterm for a Euclidean space lattice version of ϕ⁴_n theories, n≥ 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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• Renormalizable non-renormalizable theories
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• Construction of Nontrivial Quantum Gauge Theories: The Continuum limit in a Finite Volume
• What if ϕ⁴ theory in 4 dimensions is non-trivial in the continuum?