Unique Deformation of Local Quantum Field Theory Resulting in Divergence-free Amplitudes

1996/09/26 by G. H. Gadiyar, Gadiyar, G. H.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9609208

7 pages

arxiv created 1996/09/26 · openalex publication_date 1996/09/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An essentially unique deformation of the product of quantum fields at the same spacetime point is obtained. It is proposed to replace local quantum field theory with another structure which uses a *-product. The resulting theory contains a fundamental length and is free from divergences. This provides the third deformation suggested by Faddeev.

Citations

• Quantum mechanics as a statistical theory

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