Generalized Schroedinger representation in BRST-quantization

TL;DR

This paper analyzes the state space in BRST-quantization within the Schrödinger representation, emphasizing the importance of a meaningful initial definition for accurate results, building on previous Fock space studies.

Contribution

It introduces a generalized Schrödinger representation for BRST-quantization, extending prior Fock space results to improve the understanding of state space structure.

Findings

Necessity of a meaningful initial state space definition

Extension of Fock space results to Schrödinger representation

Enhanced understanding of BRST-quantization structure

Abstract

An analysis of the state space in the BRST--quantization in the Schroedinger representation is performed on the basis of the results obtained earlier in the framework of the Fock space representation. It is shown that to get satisfactory results it is necessary to have from the very beginning a meaningful definition of the total state space.