Propagators from characteristic surfaces
Jorge Conde
TL;DR
This paper investigates the Goursat problem for hyperbolic equations, introducing a regularization method for divergences and exploring potential connections to holographic theories.
Contribution
It proposes a dimensional regularization approach for the characteristic problem and discusses its possible relevance to holographic frameworks.
Findings
Regularization method for divergences in characteristic problems
Insights into the relation between hyperbolic equations and holography
Potential applications in theoretical physics
Abstract
We study the Goursat or characteristic problem, i.e. a hyperbolic equation with given data on a surface (the half of the standard Cauchy problem), with some kind of dimensional regularization procedure to deal with the divergences that appear. We will also comment some possible relation with a holographic setup.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometric Analysis and Curvature Flows · Advanced Topics in Algebra