## 35 Citations

A simple construction of fermion measure term in U(1) chiral lattice gauge theories with exact gauge invariance

- Physics
- 2008

In the gauge invariant formulation of U(1) chiral lattice gauge theories based on the Ginsparg-Wilson relation, the gauge field dependence of the fermion measure is determined through the so-called…

Chiral anomalies in the reduced model

- Physics
- 2002

On the basis of an observation due to Kiskis, Narayanan and Neuberger, we show that there is a remnant of chiral anomalies in the reduced model when a Dirac operator which obeys the Ginsparg-Wilson…

Lattice regularization of chiral gauge theories to all orders of perturbation theory

- Physics
- 2000

In the framework of perturbation theory, it is possible to put chiral gauge theories on the lattice without violating the gauge symmetry or other fundamental principles, provided the fermion…

SU(N) chiral gauge theories on the lattice

- Physics
- 2004

We extend the construction of lattice chiral gauge theories based on non-perturbative gauge fixing to the non-Abelian case. A key ingredient is that fermion doublers can be avoided at a novel type of…

Real Representation in Chiral Gauge Theories on the Lattice

- Physics
- 2000

The Weyl fermion belonging to the real representation of the gauge group provides a simple illustrative example for Luscher's gauge-invariant lattice formulation of chiral gauge theories. We can…

Solving the local cohomology problem in U(1) chiral gauge theories within a finite lattice

- Mathematics
- 2004

In the gauge-invariant construction of abelian chiral gauge theories on the lattice based on the Ginsparg-Wilson relation, the gauge anomaly is topological and its cohomologically trivial part plays…

Gauge fixing, families index theory, and topological features of the space of lattice gauge fields

- Physics, Mathematics
- 2002

Anomalous gauge theories revisited

- Physics
- 2004

A possible formulation of chiral gauge theories with an anomalous fermion content is re-examined in light of the lattice framework based on the Ginsparg-Wilson relation. It is shown that the fermion…

A numerical solution to the local cohomology problem in U(1) chiral gauge theories

- Mathematics
- 2005

We consider a numerical method to solve the local cohomology problem related to the gauge anomaly cancellation in {\rm U}(1) chiral gauge theories. In the cohomological analysis of the chiral…

## References

SHOWING 1-10 OF 110 REFERENCES

Gauge Invariant Effective Action in Abelian Chiral Gauge Theory on the Lattice

- Physics
- 1999

Luscher's recent formulation of Abelian chiral gauge theories on the lattice, in the vacuum (or perturbative)sector in infinite volume, is reinterpreted in terms of the lattice covariant…

Non-commutative differential calculus and the axial anomaly in Abelian lattice gauge theories

- Mathematics
- 2000

Renormalization of the abelian Higgs-Kibble model

- Physics
- 1975

This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov…