On non-commutativeU⋆(1) gauge models and renormalizability

DOI10.1088/1751-8113/43/42/425401zbMath1201.81101arXiv0912.2634OpenAlexW1987492323MaRDI QIDQ3053224

Daniel N. Blaschke, René I. P. Sedmik, Arnold Rofner, Michael Wohlgenannt

Publication date: 4 November 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2634

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization in field theory; cohomological methods (81T70) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (10)

Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom ⋮ Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences ⋮ Closed star product on noncommutative \(\mathbb R^{3}\) and scalar field dynamics ⋮ Noncommutative gauge theories on \( {{\mathbb{R}}}_{\lambda}^3 \): perturbatively finite models ⋮ Gauge theories on quantum spaces ⋮ Involutive representations of coordinate algebras and quantum spaces ⋮ The Gribov problem in noncommutative gauge theory ⋮ Gauge fields on noncommutative geometries with curvature ⋮ Noncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models ⋮ Gauge fields on non-commutative spaces and renormalization

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