Author： Fulp Ronald
Publisher： Springer Publishing Company
ISSN： 0015-9018
Source： Foundations of Physics, Vol.37, Iss.1, 2007-01, pp. : 103-124
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
Consider a physical system for which a mathematically rigorous geometric quantization procedure exists. Now subject the system to a finite set of irreducible first class (bosonic) constraints. It is shown that there is a mathematically rigorous BRST quantization of the constrained system whose cohomology at ghost number zero recovers the constrained quantum states. Moreover this space of constrained states has a well-defined Hilbert space structure inherited from that of the original system. Treatments of these ideas in the physics literature are more general but suffer from having states with infinite or zero "norms" and thus are not admissible as states. Also BRST operators for many systems require regularization to be well-defined. In our more restricted context, we show that our treatment does not suffer from any of these difficulties.
Related content
Access to resources
Recommend
The quantization for self-conformal measures with respect to the geometric mean error
By Zhu Sanguo
Nonlinearity, Vol. 23, Iss. 11, 2010-11 ,pp. :
BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity
By Faizal Mir
Foundations of Physics, Vol. 41, Iss. 2, 2011-02 ,pp. :
Annals of Physics, Vol. 263, Iss. 1, 1998-02 ,pp. :
By Achenbach J.D. Xu Y. Sumihara K.
Finite Elements in Analysis and Design, Vol. 31, Iss. 4, 1999-02 ,pp. :