To construct the BRST physical Hilbert space through an operator-theoretic approach using spectral properties.
Developed a theoretical framework based on operator theory
Analyzed the spectral structure of the constraint Laplacian
Constructed the Hilbert space using these spectral properties
Established a new perspective on BRST cohomology
Demonstrated the relationship between BRST cohomology and spectral projections
Provided insights into the effective treatment of physical constraints
Abstract
We present an operator-theoretic construction of the BRST physical Hilbert spacebased on the spectral structure of the constraint Laplacian. Correspondence: boshononusi4096@gmail.com