AN APPLICATION OF NEUTRIX CALCULUS TO QUANTUM FIELD THEORY

DOI10.1142/S0217751X06025225zbMath1091.81058arXivhep-th/0502163MaRDI QIDQ5468947

H. van Dam, Y. Jack Ng

Publication date: 3 May 2006

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0502163

zbMATH Keywords

neutrix calculusdivergent integralsfinite renormalizationsfinite quantum field theories

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (8)

On the composition and neutrix composition of the delta function with the hyperbolic tangent and its inverse functions ⋮ On powers of the compositions involving Dirac-delta and infinitely differentiable functions ⋮ On the noncommutative neutrix product of distributions ⋮ An extension of the incomplete beta function for negative integers ⋮ Estimating the polygamma functions for negative integers ⋮ The neutrix limit of the \(q\)-gamma function and its derivatives ⋮ On partial derivatives of the incomplete beta function ⋮ Generalized the q-digamma and the q-polygamma functions via neutrices

Cites Work

• Unnamed Item
• Neutrix calculus and finite quantum field theory
• Particles and Sources
• Divergence of Perturbation Theory in Quantum Electrodynamics

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