Consistent non-commutative quantum gauge theories?

DOI10.1016/S0370-2693(03)00726-3zbMath1072.81556arXivhep-th/0304141OpenAlexW2076434701MaRDI QIDQ1396145

D. Massart

Publication date: 29 June 2003

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0304141

zbMATH Keywords

commutative classical limitnonintegrable infrared singularitiesU(1) gauge group

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (5)

Gauge theories on quantum spaces ⋮ A generalization of Slavnov-extended non-commutative gauge theories ⋮ Noncommutative \(\varepsilon \)-graded connections ⋮ One-loop calculations for a translation invariant non-commutative gauge model ⋮ Field theories on deformed spaces

Cites Work

• Divergencies in a field theory on quantum space.
• Comments on perturbative dynamics of non-commutative Yang-Mills theory
• Ultra-violet finiteness in noncommutative supersymmetric theories
• PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS
• One-Loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ℝ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi /></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>
• Two-loop diagrams in noncommutative \(\phi_ 4^ 4\) theory.
• Perturbative analysis on infrared aspects of noncommutative QED on \(\mathbb R^ 4\).
• Noncommutative \(N=1,2\) super U\((N)\) Yang-Mills: UV/IR mixing and effective action results at one loop
• Renormalization of non-commutative U\((N)\) gauge theories

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