Bosonization in the noncommutative plane

@article{Ghosh2003BosonizationIT,
  title={Bosonization in the noncommutative plane},
  author={Subir Kumar Ghosh},
  journal={Physics Letters B},
  year={2003},
  volume={563},
  pages={112-116}
}
  • S. Ghosh
  • Published 4 March 2003
  • Physics
  • Physics Letters B
View PDF on arXiv
20 Citations
Highly Influential Citations
1
Background Citations
2
Methods Citations
3

20 Citations

Three-dimensional noncommutative bosonization

Noncommutative massive Thirring model in three-dimensional spacetime

We evaluate the noncommutative Chern-Simons action induced by fermions interacting with an Abelian gauge field in a noncommutative massive Thirring model in (2+1)-dimensional spacetime. This…

Twisted bosonization in two dimensional noncommutative spacetime

We study the twisted bosonization of massive Thirring model to relate to sine-Gordon model in Moyal spacetime using twisted commutation relations. We obtain the relevant twisted bosonization rules.…

BOSE–FERMI EQUIVALENCE IN THREE-DIMENSIONAL NONCOMMUTATIVE SPACETIME

We study the fermionisation of Seiberg–Witten mapped action (to order θ) of the λϕ4 theory coupled minimally with U(1) gauge field governed by Chern–Simons action. Starting from the corresponding…

Topics in Noncommutative Geometry Inspired Physics

In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of…

On duality of the noncommutative supersymmetric Maxwell–Chern–Simons theory

Maxwell–Chern–Simons theory is free for marginally noncommutative spacetimes

Higher derivative Chern-Simons extension in the noncommutative QED(3)

The noncommutative (NC) massive quantum electrodynamics in $2+1$ dimensions is considered. We show explicitly that the one-loop effective action arising from the integrating out the fermionic fields…

Finite Order Batalin.Fradkin.Tyutin Method for Chiral Bosons in Non-commutative Space

The recently improved finite order BFT Hamiltonian embedding method is applied to the two dimensional chiral bosons in non-commutative space. It is then systematically converted to a first class…

Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes

In this paper, we establish the analysis of noncommutative Yukawa theory, encompassing neutral and charged scalar fields. We approach the analysis by considering carefully the derivation of the…

References

SHOWING 1-10 OF 41 REFERENCES

Chern–Simons action in noncommutative space

Bosonisation in three-dimensional quantum field theory

NON-ABELIAN BOSONISATION IN THREE-DIMENSIONAL FIELD THEORY

Bosonization of three-dimensional non-abelian fermion field theories

Noncommutative perturbative dynamics

We study the perturbative dynamics of noncommutative field theories on R d , and find an intriguing mixing of the UV and the IR. High energies of virtual particles in loops produce non-analyticity at…

The Fermion - boson mapping in three-dimensional quantum field theory

Quantum field theory on noncommutative spaces

Gauge invariance and duality in the non-commutative plane

ULTRAVIOLET PROPERTY OF NONCOMMUTATIVE WESS–ZUMINO–WITTEN MODEL

We construct noncommutative extension of the Wess–Zumino–Witten (WZW) model and study its ultraviolet property at one-loop order. The β-function of the U(N) noncommutative WZW model resembles that of…

Noncommutative field theory

We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known…