The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expression in the gauge field tensor plus a removable divergence term if the lattice Dirac operator satisfies the Ginsparg-Wilson relation. The theorem is a consequence of the locality, the gauge invariance and the topological nature of the anomaly and does not refer to any other properties of the lat...

The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expression in the gauge field tensor plus a removable divergence term if the lattice Dirac operator satisfies the Ginsparg-Wilson relation. The theorem is a consequence of the locality, the gauge invariance and the topological nature of the anomaly and does not refer to any other properties of the lat...

Two predictions about finite-N non-supersymmetric “orientifold field theories” are made by using the dual type 0’ string theory on C /Z2 × Z2 orbifold singularity. First, the mass ratio between the lowest pseudoscalar and scalar color-singlets is estimated to be equal to the ratio between the axial anomaly and the scale anomaly at strong coupling, M−/M+ ∼ C−/C+. Second, the ratio between the do...

We review our calculation of the Weyl anomaly for d-dimensional conformal field theories that have a description in terms of a (d+1)-dimensional gravity theory.

We study a lattice field theory described by two flavors of massless staggered fermions interacting with U(1) gauge fields in the strong coupling limit. We show that the lattice model has a SU(2)× SU(2)×U(1) chiral symmetry and can be used to model the two-flavor QCD chiral phase transition in the absence of the anomaly. It is also possible to add a coupling to this model which breaks the chira...

We consider a gauge symmetry in a quantum Hilbert space. The symmetry leads to that of the heat-kernel and of the anomaly formulae which were previously obtained by the authors. This greatly simplifies and clarifies the structure of the formulae. We explicitly obtain the anomaly formulae in two and four dimensions, which “unify” all kinds of anomaly. The symmetry corresponds to that of the coun...

Data mining is an interdisciplinary subfield of computer science involving methods at the intersection of artificial intelligence, machine learning and statistics. One of the data mining tasks is anomaly detection which is the analysis of large quantities of data to identify items, events or observations which do not conform to an expected pattern. Anomaly detection is applicable in a variety o...

Wilson fermions break chiral symmetry explicitly. Explicit breaking of chiral symmetry is necessary to generate, from the lattice regulated model, the U(1) axial anomaly in the continuum limit for a vectorlike gauge theory [1]. To examine the role of the underlying lattice fermion model in generating the ABJ anomaly a convenient and transparent starting point is the condition, in this context, ...

We review the classical observational results for isotopic abundance variations for several elements in CP stars. We concentrate on the " newest " anomaly, in calcium. The cosmically very rare isotope, 48 Ca can rival and even dominate the more common, alpha nuclide, 40 Ca. Relevant examples are found in the hot, non-magnetic HgMn stars, and the field horizontal-branch star, Feige 86. The calci...

There are very few congenital cardiac disease which may remain asymptomatic up to adulthood, Ebstein's anomaly is one of them. With rapid advancement in the field of echocardiography many new cases identified in day-to-day practice. Timely surgical intervention in these cases may distinct survival advantage. We present a case of Ebstein's anomaly of adult age group which is seen with typical ma...