UV/IR mixing for noncommutative complex scalar field theory interacting with gauge fields

DOI10.1016/S0920-5632(01)01531-6zbMath1006.81534arXivhep-th/0003176MaRDI QIDQ1602342

O. A. Rytchkov, D. M. Belov, Alexey S. Koshelev, Irina Ya. Aref'eva

Publication date: 19 June 2002

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0003176

zbMATH Keywords

one-loop renormalizabilityscalar electrodynamicsN=4 SUSY Yang-Mills theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (10)

Renormalization of the energy-momentum tensor in noncommutative complex scalar field theory ⋮ Renormalization of the energy-momentum tensor in noncommutative scalar field theory ⋮ The BRS invariance of noncommutative \(U(N)\) Yang-Mills theory at the one-loop level ⋮ A consistent noncommutative field theory: the Wess-Zumino model. ⋮ Renormalization of non-commutative U\((N)\) gauge theories ⋮ Diagrams of noncommutative \(\Phi^3\) theory from string theory ⋮ Multiloop string amplitudes with \(B\)-field and noncommutative QFT ⋮ Phase structure of non-commutative scalar field theories ⋮ On non-commutative N=2 super Yang-Mills ⋮ Comments on perturbative dynamics of non-commutative Yang-Mills theory

Cites Work

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• Divergencies in a field theory on quantum space.
• Covariant differential calculus on the quantum hyperplane
• Noncommutative perturbative dynamics
• Renormalization of quantum field theories on non-commutative \(\mathbb{R}^d\). I: Scalars
• The IR/UV connection in non-commutative gauge theories
• Bi-local fields in noncommutative field theory
• Induced Chern-Simons and WZW action in noncommutative spacetime.
• Noncommutative field theory and spontaneous symmetry breaking

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