Field-to-particle transition based on the zero-brane approach to quantization of multiscalar field theories and its application for Jackiw-Teitelboim gravity

TL;DR

This paper generalizes the field-to-particle transition formalism for multiscalar fields and applies it to derive a quantum-corrected particle action for Jackiw-Teitelboim gravity near a black hole, revealing SU(2) symmetry.

Contribution

It extends the zero-brane based quantization approach to multiscalar fields and derives a novel particle action for JT gravity with quantum corrections.

Findings

Derived non-minimal particle action for JT gravity near black hole

Identified SU(2) symmetry in the quantum equation

Calculated quantum corrections to the black hole mass

Abstract

The field-to-particle transition formalizm based on the effective zero-brane action approach is generalized for arbitrary multiscalar fields. As a fruitful example, by virtue of this method we derive the non-minimal particle action for the Jackiw-Teitelboim gravity at fixed gauge in the vicinity of the black hole solution as an instanton-dilaton doublet. When quantizing it as the theory with higher derivatives, it is shown that the appearing quantum equation has SU(2) dynamical symmetry group realizing the exact spin-coordinate correspondence. Finally, we calculate the quantum corrections to the mass of the JT black hole.