Quantum field theories on null surfaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 0998.83003
DOI: 10.1142/S0217751X01003421
author: Kumar S. Gupta
author: Badis Ydri
published in: International Journal of Modern Physics A
publication date: 2002-11-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/0002177
Mathematics Subject Classification ID: 83A05
Mathematics Subject Classification ID: 81T20
zbMATH DE Number: 1618327
zbMATH Keywords: null-surfaces
zbMATH Keywords: quantum fields
zbMATH Keywords: Minkowskian manifold
MaRDI profile type: Publication
arXiv ID: hep-th/0002177
cites work: Forms of Relativistic Dynamics
cites work: Edge states in gravity and black hole physics
cites work: Non-Abelian bosonization in two dimensions
OpenAlex ID: W1964071364
title: Quantum field theories on null surfaces
review text: This paper constructs models in order to examine the theory of quantization on null surfaces. These concepts are important in many field theories and a system of direct interest is the dynamics on the horizon of a black hole; the horizon is the null surface. Initially a flat Minkowskian manifold is considered which is the surface of a cylinder of radius \(r\), so that the metric may be expressed in terms of the variables \(t\), \(z\) and the spanning angle. If \(z\) is taken to be time-dependent so that \(z= vt\) and \(v\to 1\) we obtain the null surface. Real scalar fields are defined which are valued on a circle (the limit as \(v\to 1\) needs to be considered carefully using renormalization). It is found that the quantization leads to a one parameter set of possible fields, that is only unique at a special point called the self-dual point. In general there is ambiguity in the quantization. For a different non-linear model, similarly it is found that the quantization is non-unique.
reviewed by: Brian L. Burrows
description: scientific article; zbMATH DE number 1618327