Add to ORKGThe axial anomaly in lattice gauge theories has topological nature when the Dirac operator satisfies the Ginsparg-Wilson relation. We study the axial anomaly in Abelian gauge theories on an infinite hypercubic lattice by utilizing cohomological techniques. The crucial tool in our approach is the non-commutative differential calculus (NCDC) which validates the Leibniz rule of exterior derivatives on the lattice. The topological nature of the ``Chern character'' on the lattice becomes manifest with NCDC. Our result provides an algebraic proof of Lüscher's theorem for a four-dimensional lattice and its generalization to arbitrary dimensions
We show that, to all orders of powers of the gauge potential, a gauge anomaly${\cal A}$ defined on 4...
A global anomaly in a chiral gauge theory manifests itself in different ways in the continuum and on...
A transformation is devised to convert any chirally non-invariant lattice Dirac fermion operator int...
The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expre...
The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expre...
The axial anomaly of the non-commutative QED is calculated by a number ofmethods and compared with t...
A remarkable feature of a lattice Dirac operator is discussed. Unlike the Dirac operator for massles...
We formulate the topological characteristics of lattice Dirac operators in the context of the index ...
As is well known to physicists, the axial anomaly of the massless free fermion in Euclidean signatur...
We evaluate for arbitrary even dimensions the classical continuum limit of the lattice axial anomaly...
In the continuum, a topological obstruction to the vanishing of the non-Abelian anomaly in 2n dimens...
Lüscher's recent formulation of Abelian chiral gauge theories on the lattice, in the vacuum (or pert...
It is shown that the local axial anomaly in 2−dimensions emerges naturally if one postulates an unde...
It is shown that local axial anomaly in $2-$dimensions emerges naturally in the {\it gauge-invariant...
We formulate lattice perturbation theory for gauge theories in noncommutative geometry. We apply it ...
We show that, to all orders of powers of the gauge potential, a gauge anomaly${\cal A}$ defined on 4...
A global anomaly in a chiral gauge theory manifests itself in different ways in the continuum and on...
A transformation is devised to convert any chirally non-invariant lattice Dirac fermion operator int...
The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expre...
The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expre...
The axial anomaly of the non-commutative QED is calculated by a number ofmethods and compared with t...
A remarkable feature of a lattice Dirac operator is discussed. Unlike the Dirac operator for massles...
We formulate the topological characteristics of lattice Dirac operators in the context of the index ...
As is well known to physicists, the axial anomaly of the massless free fermion in Euclidean signatur...
We evaluate for arbitrary even dimensions the classical continuum limit of the lattice axial anomaly...
In the continuum, a topological obstruction to the vanishing of the non-Abelian anomaly in 2n dimens...
Lüscher's recent formulation of Abelian chiral gauge theories on the lattice, in the vacuum (or pert...
It is shown that the local axial anomaly in 2−dimensions emerges naturally if one postulates an unde...
It is shown that local axial anomaly in $2-$dimensions emerges naturally in the {\it gauge-invariant...
We formulate lattice perturbation theory for gauge theories in noncommutative geometry. We apply it ...
We show that, to all orders of powers of the gauge potential, a gauge anomaly${\cal A}$ defined on 4...
A global anomaly in a chiral gauge theory manifests itself in different ways in the continuum and on...
A transformation is devised to convert any chirally non-invariant lattice Dirac fermion operator int...