76 research outputs found
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
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