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

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

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

From noncommutative bosonization to S-duality

We extend standard path-integral techniques of bosonization and duality to the setting of noncommutative geometry. We start by constructing the bosonization prescription for a free Dirac fermion

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

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