6 papers
Quantum gravity and matter fields in a general background gauge
J. Frenkel, S. Martins-Filho
We analyse the gauge-dependence of the effective action in an interacting quantum theory of gravitational and matter fields. An explicit off-shell result is obtained in a general b…
Supergravity with Lagrange Multiplier Fields in 2 + 1 Dimensions
D. G. C. McKeon, F. T. Brandt, J. Frenkel +1
We examine the first-order Einstein-Cartan (EC) action in 2+1 dimensions, including a cosmological term and its supersymmetric extension. In this setting the spin connection can be…
Equivalence of first and second order formulations of the Einstein-Hilbert theory
F. T. Brandt, J. Frenkel, S. Martins-Filho +1
We derive a general relation between the background effective actions, which directly proves that the two formulations of the Einstein-Hilbert theory with background fields are equ…
A Renormalizable Model of Quantized Gravitational and Matter Fields
D. G. C. McKeon, F. T. Brandt, J. Frenkel +1
A Lagrange multiplier field can be used to restrict radiative corrections to the Einstein-Hilbert action to one-loop order. This result is employed to show that it is possible to c…
Quantization of Einstein-Cartan theory in the first order form
F. T. Brandt, J. Frenkel, S. Martins-Filho +1
We consider the Einstein-Cartan theory with the tetrad and spin connection taken as being independent fields. Diffeomorphism invariance and local Lorentz inv…
Renormalization of the Einstein-Cartan Theory in First-Order Form
F. T. Brandt, J. Frenkel, S. Martins-Filho +1
We examine the Einstein-Cartan (EC) theory in first-order form, which has a diffeomorphism as well as a local Lorentz invariance. We study the renormalizability of this theory in t…