Quantization of four-dimensional Abelian gravity

@article{Broda2007QuantizationOF,
title={Quantization of four-dimensional Abelian gravity},
author={Bogusław Broda and Piotr Bronowski and Marcin Ostrowski and Michał Szanecki},
journal={Physics Letters B},
year={2007},
volume={655},
pages={178-182}
}
• Published 28 February 2007
• Physics
• Physics Letters B
5 Citations
An Abelian model of gravity is introduced and its constraint structure is obtained. The main task is to show that the model with constraints can be canonically quantized by means of the canonical
• Physics
• 2016
Abstract.A detailed Faddeev-Jackiw quantization of an Abelian topological gravity is performed; we show that this formalism is equivalent and more economical than Dirac's method. In particular, we
• Physics
• 2017
Special gravity refers to interacting theories of massless gravitons in Minkowski space-time which are invariant under the abelian gauge invariance $h_{ab}\rightarrow h_{ab}+\partial_{(a}χ_{b)}$
In this paper we demonstrate explicitly the equivalence of the path integral to the canonical approaches to quantization of gravity in Ashtekar variables coupled to matter fields quantized on the
In this paper we demonstrate the formal equivalence of the canon-ical to the path integration approaches to quantization of gravity in Ashtekar variables coupled to matter fields in four dimensions.

References

SHOWING 1-10 OF 15 REFERENCES

A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in
• Physics
• 1988
We have given a detailed derivation of a covariant expression for the S matrix of an antisymmetric tensor field on the basis of the canonical formulation of the theory. An important technical point
• Physics
Physical review. D, Particles and fields
• 1990
We give an example of a generally covariant geometric field theory which leads to the standard Gaussian and supermomentum constraints but which lacks the super-Hamiltonian constraint. This theory is
• Physics
• 1980
* Introduction: Fundamentals of Classical Gauge Field Theory * Quantum Theory in Terms of Path Integrals * Quantization of the Yang-Mills Field * Renormalization of Gauge Theories * Some Application

Physical Review D 42

• 4070
• 1990
• E. B. Manoukian
• Physics
100 Years of Fundamental Theoretical Physics in the Palm of Your Hand
• 2020
• Physics
• 1980
* Introduction: Fundamentals of Classical Gauge Field Theory * Quantum Theory in Terms of Path Integrals * Quantization of the Yang-Mills Field * Renormalization of Gauge Theories * Some Application