arXiv subjects

T. T. Burwick

Publications and source records attributed to T. T. Burwick.

3 recordsLinked to original sources

arXiv1994

Towards Quantum Cosmology without Singularities

In this paper we investigate the vanishing of cosmological singularities by quantization. Starting from a 5d Kaluza--Klein approach we quantize, as a first step, the non--spherical metric part and the dilaton field. These fields which are classically singular become smooth after quantization. In addition, we argue that the incorporation of non perturbative quantum corrections form a dilaton potential. Technically, the procedure corresponds to the quantization of 2d dilaton gravity and we discuss several models. From the 4d point of view this procedure is a semiclassical approach where only the dilaton and moduli matter fields are quantized.

hep-th↗

arXiv1992

Matter Coupling and Spontaneous Symmetry Breaking in Topological Gravity

Matter is coupled to three-dimensional gravity such that the topological phase is allowed and the (anti-) de Sitter or Poincaré symmetry remains intact. Spontaneous symmetry breaking to the Lorentz group occurs if a scalar field is included. This Higgs field can then be used to couple matter so that the familiar form of the matter coupling is established in the broken phase. We also give the supersymmetrization of this construction.

hep-th↗

arXiv1992

Classical and Quantum Considerations of Two-dimensional Gravity

The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly for any conformal dimension of the coupled matter system, even if the dilaton does not appear as Lagrange multiplier. Interaction terms are introduced and the system is analyzed and solutions are given at the classical level and at the quantum level by using canonical quantization.

hep-th↗