• Corpus ID: 117995754

Three lectures on noncommutative field theories

@article{Schaposnik2004ThreeLO,
  title={Three lectures on noncommutative field theories},
  author={Fidel A. Schaposnik},
  journal={arXiv: High Energy Physics - Theory},
  year={2004}
}
  • F. Schaposnik
  • Published 18 August 2004
  • Physics
  • arXiv: High Energy Physics - Theory
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. 
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13 Citations
Background Citations
2

13 Citations

Theories on noncommutative spaces and deformed symmetries
In this thesis we study different aspects of noncommutativity in quantum mechanics, field theory and gravity. We give particular emphasis on the underlying symmetries of these theories. Deformations…
Symmetries of Field Theories on the Noncommutative Plane
We report new developments concerning the symmetry properties and their actions on special solutions allowed by certain field theory models on the noncommutative plane. In particular, we seek…
Vortex solutions in the noncommutative torus
Vortex configurations in the two-dimensional torus are considered in noncommutative space. We analyze the BPS equations of the Abelian Higgs model. Numerical solutions are constructed for the…
On the unitarity of higher derivative and nonlocal theories
We consider two simple models of higher derivative and nonlocal quantum systems. It is shown that, contrary to some claims found in literature, they can be made unitary.
Bogomolny equations for vortices in the noncommutative torus
We derive Bogomolny-type equations for the abelian Higgs model defined on the noncommutative torus and discuss its vortex like solutions. To this end, we carefully analyze how periodic boundary…
One-loop effects in a self-dual planar noncommutative theory
We study the UV properties, and derive the explicit form of the one-loop effective action, for a noncommutative complex scalar field theory in 2+1 dimensions with a Grosse-Wulkenhaar term, at the…
Heat kernel, effective action and anomalies in noncommutative theories
Being motivated by physical applications (as the 4 model) we calculate the heat kernel coefficients for generalised laplacians on the Moyal plane containing both left and right multiplications. We…
Deformed Kac–Moody algebra and noncommutative Fermi theory in two dimensions
Starting from noncommutative Fermi theory in two dimensions, we construct a deformed Kac–Moody algebra between its vector and chiral currents. The higher-order corrections to the deformed Kac–Moody…
On the Consistency of Twisted Gauge Theory 1
It is argued that the twisted gauge theory is consistent provided it exhibits also the standard noncommutative gauge symmetry. PACS number(s):
On the consistency of twisted gauge theory
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References

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