ep - t h / 93 09 02 0 v 1 3 S ep 1 99 3 LMU - TPW 93 - 16 UNIVERSAL BUNDLE FOR GRAVITY , LOCAL INDEX THEOREM , AND COVARIANT GRAVITATIONAL ANOMALIES
نویسنده
چکیده
Consistent and covariant Lorentz and diffeomorphism anomalies are investigated in terms of the geometry of the universal bundle for gravity. This bundle is explicitly constructed and its geometrical structure will be studied. By means of the local index theorem for families of Bismut and Freed the consistent gravitational anomalies are calculated. Covariant gravitational anomalies are shown to be related with secondary characteristic classes of the universal bundle and a new set of descent equations which also contains the covariant Schwinger terms is derived. The relation between consistent and covariant anomalies is studied. Finally a geometrical realization of the gravitational BRS, anti-BRS transformations is presented which enables the formulation of a kind of covariance condition for covariant gravitational anomalies. *)Erwin Schrödinger fellow, supported by " Fonds zur Förderung der wissenschaftlichen Forschung
منابع مشابه
ar X iv : h ep - t h / 93 08 05 4 v 1 1 1 A ug 1 99 3 CU - TP - 605 hep - ph / 9308054 MONOPOLE VECTOR SPHERICAL HARMONICS
Eigenfunctions of total angular momentum for a charged vector field interacting with a magnetic monopole are constructed and their properties studied. In general, these eigenfunctions can be obtained by applying vector operators to the monopole spherical harmonics in a manner similar to that often used for the construction of the ordinary vector spherical harmonics. This construction fails for ...
متن کاملar X iv : h ep - t h / 94 12 13 6 v 1 1 5 D ec 1 99 4 Relativistically Covariant Symmetry in QED
abstract We construct a relativistically covariant symmetry of QED. Previous local and nonlocal symmetries are special cases. This generalized symmetry need not be nilpotent, but nilpotency can be arranged with an auxiliary field and a certain condition. The Noether charge generating the symmetry transformation is obtained, and it imposes a constraint on the physical states.
متن کاملOn the Energy Problem in General Relativity
The Energy Problem (EP) in General Relativity (GR) is analyzed in the context of GR’s axiomatic inconsistencies. EP is classified according to its local and global aspects. The local aspects of the EP include noncovariance of the energy-momentum pseudotensor (EMPT) of the gravitational field, non-uniqueness of the EMPT, asymmetry of EMPT and vanishing metric energy-momentum tensor. The global a...
متن کاملar X iv : h ep - t h / 02 10 17 1 v 2 3 0 O ct 2 00 2 IFUM - 728 / FT October 2002 Noncommutative
In this paper we define a causal Lorentz covariant noncommutative (NC) classical Electrodynamics. We obtain an explicit realization of the NC theory by solving perturbatively the SeibergWitten map. The action is polynomial in the field strenght F , allowing to preserve both causality and Lorentz covariance. The general structure of the Lagrangian is studied, to all orders in the perturbative ex...
متن کاملar X iv : g r - qc / 0 40 90 29 v 1 7 S ep 2 00 4 TOKAI - HEP / TH - 04 - 09 General Relativity with Torsion
General Relativity with nonvanishing torsion has been investigated in the first order formalism of Poincaré gauge field theory. In the presence of torsion, either side of the Einstein equation has the nonvanishing covariant divergence. This fact turned out to be self-consistent in the framework under consideration. By using Noether’s procedure with the definition of the Lie derivative where the...
متن کامل