Translation-invariant models for non-commutative gauge fields

DOI10.1088/1751-8113/41/25/252002zbMath1192.81326arXiv0804.1914OpenAlexW1997599792MaRDI QIDQ3531135

François Gieres, Manfred Schweda, Erwin Kronberger, Daniel N. Blaschke, Michael Wohlgenannt

Publication date: 21 October 2008

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

Full work available at URL: https://arxiv.org/abs/0804.1914

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 (12)

Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences ⋮ Exact partition functions for gauge theories on \(\mathbb{R}_\lambda^3\) ⋮ Renormalization of the commutative scalar theory with harmonic term to all orders ⋮ Gauge theories on quantum spaces ⋮ Combinatorial Dyson-Schwinger equations in noncommutative field theory ⋮ Deformations of quantum field theories on spacetimes with Killing vector fields ⋮ The Gribov problem in noncommutative gauge theory ⋮ Quantum field theory on noncommutative spaces ⋮ One-loop calculations for a translation invariant non-commutative gauge model ⋮ Noncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models ⋮ Gauge fields on non-commutative spaces and renormalization ⋮ One-loop \(\beta \) functions of a translation-invariant renormalizable noncommutative scalar model

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