An example of cancellation of infinities in the star-quantization of fields

DOI10.1007/BF00739591zbMath0786.22026MaRDI QIDQ1803232

Joseph Dito

Publication date: 29 June 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

renormalizationstar productinteracting field theories

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantization in field theory; cohomological methods (81T70) Applications of Lie groups to the sciences; explicit representations (22E70) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items

Least uncertainty principle in deformation quantization, Quantum mechanics on phase space and the Coulomb potential, The star product in interacting quantum field theory, Rarita-Schwinger quantum free field via deformation quantization, Quantization: Deformation and/or functor?, STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION, DEFORMATION QUANTIZATION OF CLASSICAL FIELDS, Deformation quantization of fermi fields, Star products and perturbative quantum field theory, Recent Developments in Deformation Quantization, DEFORMATION QUANTIZATION OF RELATIVISTIC PARTICLES IN ELECTROMAGNETIC FIELDS, DISSIPATIVE SCALAR FIELD THEORY VIA DEFORMATION QUANTIZATION

Cites Work

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• A<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Quantum Field Theory without Cutoffs. I
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