Functional Schroedinger and BRST Quantization of (1+1)--Dimensional Gravity

TL;DR

This paper compares functional Schroedinger and BRST quantization methods applied to (1+1)-dimensional dilaton gravity, revealing that these approaches produce inequivalent physical results for pure and matter-coupled theories.

Contribution

It provides a detailed analysis of two quantization methods for (1+1)-dimensional dilaton gravity and demonstrates their inequivalence in physical outcomes.

Findings

Quantization methods yield different physical results.

Both pure and matter-coupled theories analyzed.

Highlights the importance of method choice in quantum gravity.

Abstract

We discuss the quantization of pure string--inspired dilaton--gravity in $(1+1)$--dimensions, and of the same theory coupled to scalar matter. We perform the quantization using the functional Schroedinger and BRST formalisms. We find, both for pure gravity and the matter--coupled theory, that the two quantization procedures give inequivalent ``physical'' results.