Collective coordinates and constrained hamiltonian systems

Journal Article · Wed Jul 01 04:00:00 EDT 1992 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(92)90337-L· OSTI ID:7198143

Dayi, O F ^[1]

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1. Kaiserslautern Univ. (Germany) Istanbul Univ. (Turkey)

A general method of incorporating collective coordinates (transformation of fields into an overcomplete basis) with constrained hamiltonian systems is given where the original phase space variables and collective coordinates can be bosonic or/and fermionic. This method is illustrated by applying it to the SU(2) Yang-Mills-Higgs theory and its BFV-BRST quantization is discussed. Moreover, this formalism is used to give a systematic way of converting second class constraints into effectively first class ones, by considering second class constraints as first class constraints and gauge fixing conditions. This approach is applied to the massive superparticle. Proca lagrangian, and some topological quantum field theories.

• OSTI ID: 7198143
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 217:1; ISSN 0003-4916; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPACE
TRANSFORMATIONS
YANG-MILLS THEORY