The three-dimensional noncommutative nonlinear sigma model in superspace

DOI10.1016/S0370-2693(01)01177-7zbMath1021.81033arXivhep-th/0109222OpenAlexW3099158044MaRDI QIDQ5949190

Victor O. Rivelles, Albert Yu. Petrov, Marcelo O. C. Gomes, Adilson J. Da Silva, Horacio O. Girotti

Publication date: 15 November 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0109222

zbMATH Keywords

\(O(N)\) invarianceasymptotic freedomrenormalizability

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60)

Related Items

THE NONCOMMUTATIVE SUPERSYMMETRIC NONLINEAR SIGMA MODEL, One-Loop Renormalization of General Noncommutative Yang–Mills Field Model Coupled to Scalar and Spinor Fields, Renormalization of the energy-momentum tensor in noncommutative scalar field theory, On the finiteness of noncommutative supersymmetric QED\(_3\) in the covariant superfield formulation, Non-commutative Maxwell-Chern-Simons theory in three dimensions and its dual, Soft supersymmetry breaking in the nonlinear sigma model, \(O(3)\) sigma model with Hopf term on fuzzy sphere, Noncommutative field theories and gravity, UV/IR mixing and the Goldstone theorem in noncommutative field theory

Cites Work

• Unnamed Item
• Unnamed Item
• Divergencies in a field theory on quantum space.
• 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>
• Chiral gauge anomalies on noncommutative \(\mathbb R^ 4\).
• A note on consistent anomalies in noncommutative YM theories.
• Renormalizability and UV/IR mixing in noncommutative theories with scalar fields.
• A consistent noncommutative field theory: the Wess-Zumino model.
• Noncommutative perturbation in superspace