Three lectures on noncommutative field theories

Abstract

Classical and quantum aspects of noncommutative field theories are discussed. In particular, noncommutative solitons and instantons are constructed and also d=2,3 noncommutative fermion and bosonic (Wess-Zumino-Witten and Chern-Simons)theories are analyzed.

Lectures given at the II International Conference on Fundamental Interactions, Pedra Azul, Brazil, June 2004. 53 pages

References in corpus (18)

• Deformation quantization of Poisson manifolds, I
• Noncommutative Solitons
• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• Noncommutative Multi-Solitons in 2+1 Dimensions
• Instantons on Noncommutative R^4 and Projection Operators
• Nielsen-Olesen Vortices in Noncommutative Abelian Higgs Model
• Noncommutative Vortex Solitons
• Chern-Simons matrix model: coherent states and relation to Laughlin wavefunctions
• Seiberg-Witten Transforms of Noncommutative Solitons
• Comments on the U(2) Noncommutative Instanton
• Wess-Zumino-Witten and fermion models in noncommutative space
• Non Abelian Bosonization in Two and Three Dimensions
• The $\zeta$-function answer to parity violation in three dimensional gauge theories
• Noncommutative Multi-Instantons on R^{2n} x S^2
• The Moduli Space of Noncommutative Vortices
• On Coordinate Transformations in Planar Noncommutative Theories
• Non BPS noncommutative vortices
• A monopole solution from noncommutative multi-instantons

Cited by in corpus (8)

• Generation of circular polarization of the CMB
• On the unitarity of higher-dervative and nonlocal theories
• On the Consistency of Twisted Gauge Theory
• Symmetries of field theories on the non-commutative plane
• Vortex solutions in the noncommutative torus
• Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
• Theories on noncommutative spaces and deformed symmetries
• Dynamic and static properties of Quantum Hall and Harmonic Oscillator systems on the non-commutative plane