On the chiral anomaly in non-Riemannian spacetimes

YN Obukhov, EW Mielke, J Budczies, FW Hehl - Foundations of Physics, 1997 - Springer
Abstract The translation Chern-Simons type three-form coframe∧ torsion on a Riemann-
Cartan spacetime is related (by differentiation) to the Nieh-Yan fourform. Following Chandia …

Comment on “Topological invariants, instantons, and the chiral anomaly on spaces with torsion”

D Kreimer, EW Mielke - Physical Review D, 2001 - APS
Abstract In Riemann-Cartan spacetimes with torsion only its axial covector piece A couples
to massive Dirac fields. Using renormalization group arguments, we show that in addition to …

Generalized Lagrangian of supergravity and its canonical constraints with the real Ashtekar variable

M Tsuda - Physical Review D, 1999 - APS
We generalize the Lagrangian of N= 1 supergravity (SUGRA) by using an arbitrary
parameter ξ, which corresponds to the inverse of Barbero's parameter β. This generalized …

Beautiful gauge field equations in Clifforms

EW Mielke - International Journal of Theoretical Physics, 2001 - Springer
By combining the tetrads of unholonomic frames of spacetime with the Dirac matrices to a
one-form γ, we can reformulate not only the Dirac equation, but also the Einstein equations …

Chiral anomaly in contorted spacetimes

EW Mielke, D Kreimer - General Relativity and Gravitation, 1999 - Springer
Abstract The Dirac equation in Riemann-Cartan spacetimeswith torsion is reconsidered. As
is well-known, only theaxial covector torsion A, a oneform, couples to massiveDirac fields …

On the structure of the energy-momentum and the spin currents in Dirac's electron theory

FW Hehl, A Macías, EW Mielke, YN Obukhov - On Einstein's Path: Essays …, 1999 - Springer
We consider a classical Dirac field in flat Minkowski spacetime. We perform a Gordon
decomposition of its canonical energy-momentum and spin currents, respectively. Thereby …

Chiral anomaly in Ashtekar's approach to canonical gravity

EW Mielke, D Kreimer - International Journal of Modern Physics D, 1998 - World Scientific
The Dirac equation in Riemann–Cartan spacetimes with torsion is reconsidered. As is well-
known, only the axial covector torsion A, a one-form, couples to massive Dirac fields. Using …

Chern–Simons solutions of the chiral teleparallelism constraints of gravity

EW Mielke - Nuclear Physics B, 2002 - Elsevier
Canonical transformations to complex variables in the teleparallelism equivalent (GR∥) of
general relativity are generated by the translational boundary term id C TT. In this Yang …

Chiral supergravity and anomalies

EW Mielke, A Macías - Annalen der Physik, 1999 - Wiley Online Library
Similarly as in the Ashtekar approach, the translational Chern‐Simons term is, as a
generating function, instrumental for a chiral reformulation of simple supergravity. After …

Supersymmetric quantum cosmology: the physical states

A Macias, EW Mielke, J Socorro - Physical Review D, 1998 - APS
In this paper, we consider supersymmetric quantum cosmology, where a matrix
representation for the gravitino covector spinor is used. The full Lorentz constraint and its …