Gravitational Collapse and Calogero Model

TL;DR

This paper explores the analytic structure of the S-matrix in gravitational collapse, linking it to Calogero models and conformal mechanics through the Euclidean Wheeler-DeWitt equation.

Contribution

It reveals the connection between the Euclidean Wheeler-DeWitt equation in gravitational collapse and Calogero models, highlighting the role of simple poles in the S-matrix.

Findings

Identification of simple poles in the S-matrix in Euclidean spacetime

Connection between Euclidean Wheeler-DeWitt equation and Calogero models

Discussion of conformal mechanics and quantum instantons

Abstract

We study the analytic structure of the S-matrix which is obtained from the reduced Wheeler-DeWitt wave function describing spherically symmetric gravitational collapse of massless scalar fields. The simple poles in the S-matrix occur in the Euclidean spacetime, and the Euclidean Wheeler-DeWitt equation is a variant of the Calogero models, which is discussed in connection with conformal mechanics and a quantum instanton.