11 citations · 66 across the 17 of their papers we have counts for
19 papers
Renormalization of Quantum Gravity with Lagrange Multiplier Fields
F. T. Brandt, J. Frenkel, S. Martins-Filho +1
We study the renormalization of Einstein gravity coupled to a scalar field in the Lagrange multiplier (LM) formulation, where a pair of quantum LM fields, , is couple…
Quantum Gravity in the Landau background gauge
J. Frenkel, S. Martins-Filho
We examine, in the Landau background gauge, the effective action of a quantum theory of gravitational and matter fields. We analyse the BRST invariance of this theory and study the…
Spin correlations in two-particle systems: a pedagogically motivated comparison of computational approaches
S. Martins-Filho
In this work we present a pedagogically motivated analysis of spin-correlation calculations in a quantum system composed of two spin- particles. Rather than aiming at new phys…
Covariant quantization of the Einstein-Hilbert theory in first-order form
S. Martins-Filho
We present a covariant quantization of the first-order formulation of the Einstein-Hilbert theory using the path integral and BV formalisms. In this approach, the metric a…
A Renormalizable and Unitary Approach to Quantum Gravity
D. G. C. McKeon, F. T. Brandt, J. Frenkel +1
A Lagrange multiplier field restricts the quantum corrections to the Einstein-Hilbert action at one-loop order, yielding a model that is renormalizable and unitary while reproducin…
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…
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…
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 invari…
Field redefinition invariant Lagrange multiplier formalism with gauge symmetries
D. G. C. McKeon, F. T. Brandt, S. Martins-Filho
It has been shown that by using a Lagrange multiplier field to ensure that the classical equations of motion are satisfied, radiative effects beyond one-loop order are eliminated.…
Field redefinition invariant Lagrange multiplier formalism
F. T. Brandt, S. Martins-Filho
In this paper, we propose a field redefinition invariant Lagrange multiplier (LM) formalism in which new ghost-like fields, analogous to Lee-Yang ghosts, are introduced. These ghos…
Forward scattering amplitudes in the imaginary time formalism
F. T. Brandt, J. Frenkel, S. Martins-Filho +2
We study, in the imaginary time formalism, the relation between loops and on-shell forward scattering tree amplitudes in thermal field theories. This allows for an efficient evalua…
Thermal gauge theories with Lagrange multiplier fields
F. T. Brandt, J. Frenkel, S. Martins-Filho +2
We study the Yang-Mills theory and quantum gravity at finite temperature, in the presence of Lagrange multiplier fields. These restrict the path integrals to field configurations w…
Restricting loop expansions in gauge theories coupled to matter
F. T. Brandt, J. Frenkel, S. Martins-Filho +1
Quantizing any model in which a Lagrange multiplier (LM) field is used to restrict field configurations to those that satisfy the classical equations of motion, leads to at most on…
On Restricting First Order Form of Gauge Theories to One-Loop Order
F. T. Brandt, J. Frenkel, S. Martins-Filho +1
The first order form of the Yang-Mills and Einstein-Hilbert actions are quantized, and it is shown how Green's functions computed using the first and the second order form of these…
Structural identities in the first order formulation of quantum gravity
F. T. Brandt, J. Frenkel, S. Martins-Filho +1
We study the self-consistency of the first order formulation of quantum gravity, which may be attained by introducing, apart from the graviton field, another auxiliary quantum fiel…
Consistency Conditions for the First-Order Formulation of Yang-Mills Theory
F T Brandt, J Frenkel, S Martins-Filho +1
We examine the self-consistency of the first-order formulation of the Yang-Mills theory. By comparing the generating functional before and after integrating out the additional…