On the Geometrical Structure of Covariant Anomalies in Yang-Mills Theory

Covariant anomalies are studied in terms of the theory of secondary characteristic classes of the universal bundle of Yang-Mills theory. A new set of descent equations is derived which contains the covariant current anomaly and the covariant Schwinger term. The counterterms relating consistent and covariant anomalies are determined. A geometrical realization of the BRS/anti-BRS algebra is presented which is used to understand the relationship between covariant anomalies in different approaches.Comment: 19 pages, LMU-TPW 92-31 (January 93

Comment on covariant Stora--Zumino chain terms

In a recent paper, Ekstrand proposed a simple expression from which covariant anomaly, covariant Schwinger term and higher covariant chain terms may be computed. We comment on the relation of his result to the earlier work of Tsutsui.Comment: Latex file, no figure

Field Space Entanglement Entropy, Zero Modes and Lifshitz Models

The field space entanglement entropy of a quantum field theory is obtained by integrating out a subset of its fields. We study an interacting quantum field theory consisting of massless scalar fields on a closed compact manifold M. To this model we associate its Lifshitz dual model. The ground states of both models are invariant under constant shifts. We interpret this invariance as gauge symmetry and subject the models to proper gauge fixing. By applying the heat kernel regularization one can show that the field space entanglement entropies of the massless scalar field model and of its Lifshitz dual are agreeing.Comment: 13 pages, revised and extended version, accepted for publication in Physics Letters

A Geometrical Description of the Consistent and Covariant Chiral Anomaly

A geometrical interpretation of the consistent and covariant chiral anomaly is done in the space-time respective Hamiltonian framework.Comment: 12 page

They Try: How the Supreme Court has Addressed Issues of Racial and Gender Discrimination in the Jury Selection Process

The rise of publicized police brutality cases (but not the rise in number of cases themselves) has resulted in an increase of public scrutiny of the court process. More often than not, police officers are found not guilty by a jury of their peers, only for the public to later find out that the jury was composed almost entirely of whites. How did this process start? How does it persist? Has the legal system attempted to address this problem, and discrimination in the jury selection process in general? By examining past Supreme Court decisions, this review explores the ways that the Supreme Court has addressed racial and gender discrimination in the jury selection process. However, since the Court does not have enforcement powers, this review also explores the tactics that prosecutors have developed to skirt around their opinions