## 20 Citations

### Noncommutative massive Thirring model in three-dimensional spacetime

- Physics
- 2003

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

- Physics
- 2012

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

- Physics
- 2008

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

- Physics, Mathematics
- 2009

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)

- Physics
- 2015

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

- Physics
- 2010

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

- Physics
- 2016

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

- Mathematics
- 2000

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

- Physics
- 2000

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…

### ULTRAVIOLET PROPERTY OF NONCOMMUTATIVE WESS–ZUMINO–WITTEN MODEL

- Mathematics
- 2000

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…