Wess-Zumino-Witten and fermion models in noncommutative space

DOI10.1016/S0550-3213(00)00702-1zbMath0972.81184arXivhep-th/0008118OpenAlexW2016169974WikidataQ127360668 ScholiaQ127360668MaRDI QIDQ1595861

Fidel Arturo Schaposnik, Enrique F. Moreno

Publication date: 13 February 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0008118

zbMATH Keywords

Dirac operator determinantgauge field backgroundU(N) Thirring model bosonization

Mathematics Subject Classification ID

Model quantum field theories (81T10) Noncommutative geometry methods in quantum field theory (81T75)

Related Items

Noncommutative fermions and Morita equivalence, Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED, Non-commutative duality: high spin fields and \(\mathbb C\mathbb P^1\) model with Hopf term, Noncommutative Wess-Zumino-Witten actions and their Seiberg-Witten invariance, Anti-self-dual Yang-Mills equations on noncommutative space-time, A consistent noncommutative field theory: the Wess-Zumino model., Induced Chern-Simons and WZW action in noncommutative spacetime., Correlation functions in the non-commutative Wess-Zumino-Witten model., Chiral anomalies in noncommutative YM theories, Twisted conformal field theories and Morita equivalence, Quantum field theory on noncommutative spaces, Duality between non-commutative Yang-Mills-Chern-Simons and non-Abelian self-dual models, An integrable noncommutative version of the sine-Gordon system

Cites Work

• Non-abelian bosonization in two and three dimensions
• 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>
• Chiral gauge anomalies on noncommutative \(\mathbb R^ 4\).