2001/02/28 by Rafael Ferraro, Daniel M. Sforza, Daniel Sforza
Mathematics · Physics and Astronomy · #BRST quantization #Covariant transformation #Gauge boson #Gauge covariant derivative #Gauge fixing #Gauge theory #Hamiltonian (control theory) #Hermitian matrix #Mathematical descriptions of the electromagnetic field #Mathematical physics #Mathematics #Nilpotent #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantization (signal processing) #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #gr-qc
paper · pdf · doi:10.1103/physrevd.64.024020
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 64(2) (American Physical Society) · 17 pages. Latex file. Minor changes, two references added
openalex publication_date 2001/06/21 · arxiv created 2001/07/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Becchi-Rouet-Stora-Tyutin (BRST) operator quantization of a finite-dimensional gauge system featuring two quadratic super Hamiltonian and m linear supermomentum constraints is studied as a model for quantizing generally covariant gauge theories. The proposed model ``completely'' mimics the constraint algebra of general relativity. The Dirac constraint operators are identified by realizing the BRST generator of the system as a Hermitian nilpotent operator, and a physical inner product is introduced to complete a consistent quantization procedure.