# Axial Anomaly in Noncommutative QED on R^4

@article{Ardalan2000AxialAI, title={Axial Anomaly in Noncommutative QED on R^4}, author={Farhad Ardalan and N. Sadooghi}, journal={arXiv: High Energy Physics - Theory}, year={2000} }

The axial anomaly of the noncommutative U(1) gauge theory is calculated by a number of methods and compared with the commutative one. It is found to be given by the corresponding Chern class.

## 79 Citations

CHIRAL GAUGE ANOMALIES ON NONCOMMUTATIVE MINKOWSKI SPACE–TIME

- Physics
- 2001

Chiral gauge anomalies on noncommutative Minkowski space–time are computed and have their origin elucidated. The consistent form and the covariant form of the anomaly are obtained. Both Fujikawa's…

Topology of the gauge group in noncommutative gauge theory

- Mathematics
- 2001

I argue that the gauge group of noncommutative gauge theory consists of maps into unitary operators on Hilbert space of the form $u=1+K$ with $K$ compact. Some implications of this proposal are…

Axial-anomaly in noncommutative QED and Pauli–Villars regularization

- PhysicsInternational Journal of Modern Physics A
- 2019

We calculate the [Formula: see text](1) axial-anomaly in two and four dimensions using a modified path integral method coupled to a Pauli–Villars regulator field in the noncommutative QED.…

Chiral anomaly and Ginsparg-Wilson relation on the noncommutative torus

- Physics
- 2002

We evaluate chiral anomaly on the noncommutative torus with the overlap Dirac operator satisfying the Ginsparg-Wilson relation in arbitrary even dimensions. Utilizing a topological argument, we show…

Chiral Gauge Anomalies on Noncommutative Ir

- Physics
- 2000

We discuss the noncommutative counterparts of chiral gauge theories and compute the associated anomalies.

ANOMALY AND NONPLANAR DIAGRAMS IN NONCOMMUTATIVE GAUGE THEORIES

- Physics
- 2002

Anomalies arising from nonplanar triangle diagrams of noncommutative gauge theory are studied. Local chiral gauge anomalies for both noncommutative U(1) and U(N) gauge theories with adjoint matter…

On the Anomalies and Schwinger Terms in Noncommutative Gauge Theories

- Mathematics
- 2006

Invariant (nonplanar) anomaly of noncommutative QED is reexamined in this paper. It is found that just as in ordinary gauge theory UV regularization is needed to discover anomalies, in noncommutative…

Non-commutative Chiral QCD2 Model

- Physics
- 2002

The effective action of chiral QCD2 was studied in two-dimensional non-commutative space-time by using path integral approach. It is shown that vector boson has a mass generation and the effective…

## References

SHOWING 1-10 OF 41 REFERENCES

Renormalization of noncommutative Yang-Mills theories: A Simple example

- Physics
- 2000

We prove by explicit calculation that Feynman graphs in noncommutative Yang-Mills theory made of repeated insertions into itself of arbitrarily many one-loop ghost propagator corrections are…

Instantons on Noncommutative ℝ4, and (2,0) Superconformal Six Dimensional Theory

- Physics, Mathematics
- 1998

Abstract:We show that the resolution of moduli space of ideal instantons parameterizes the instantons on noncommutative ℝ4. This moduli space appears to be the Higgs branch of the theory of…

The one loop UV divergent structure of U(1) Yang-Mills theory on noncommutative R**4

- Mathematics
- 1999

We show that U(1) Yang-Mills theory on noncommutative R^4 can be renormalized at the one-loop level by multiplicative dimensional renormalization of the coupling constant and fields of the theory. We…

PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS

- Physics
- 2000

Using standard field theoretical techniques, we survey pure Yang–Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared…

Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus

- Physics
- 1999

We argue that Yang-Mills theory on noncommutative torus, expressed in the Fourier modes, is described by a gauge theory in a usual commutative space, the gauge group being a generalization of the…

Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R^4

- Physics
- 1999

Here we discuss the ultraviolet and infrared aspects of the noncommutative counterpart of QED, which is called as noncommutative QED, as well as some infrared dynamics of noncommutative Yang-Mills…