Harmonic BRST quantization of systems with irreducible holomorphic bosonic and fermionic constraints
Abstract
We consider systems with secondclass constraints or, equivalently, firstclass holomorphic constraints. We show that the harmonic BecchiRouetStoraTyutin method of quantizing systems with bosonic holomorphic constraints extends to systems having both bosonic and fermionic holomorphic constraints. The ghosts for bosonic holomorphic constraints in the harmonic BRST method have a Poisson brackets structure different from that of the ghosts in the usual BRST method, which applies to systems with real firstclass constraints. Apart from this exotic ghost structure for bosonic constraints, the new feature of the harmonic BRST method is the introduction of two new holomorphic BRST charges [Theta] and [bar [Theta]] and the addition of an extra term [minus][beta][l brace][Theta],[bar [Theta]][r brace] to the BRSTinvariant Hamiltonian. We apply the FradkinVilkovisky theorem to general systems with mixed bosonic and fermionic holomorphic constraints and show that, taking an appropriate limit, the extra term in the harmonic BRSTmodified path integral reproduces the correct Senjanovic measure.
 Authors:
 (Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706 (United States))
 Publication Date:
 OSTI Identifier:
 6498451
 DOE Contract Number:
 AC0276ER00881
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review, D (Particles Fields); (United States); Journal Volume: 47:12
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOSONS; QUANTIZATION; FERMIONS; CONSTRAINTS; DUALITY; HAMILTONIANS; HILBERT SPACE; MATRICES; SPIN; ANGULAR MOMENTUM; BANACH SPACE; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTICLE PROPERTIES; QUANTUM OPERATORS; SPACE; 662340*  Hadron Interactions (1992)
Citation Formats
Allen, T.J., and Crossley, D.B. Harmonic BRST quantization of systems with irreducible holomorphic bosonic and fermionic constraints. United States: N. p., 1993.
Web. doi:10.1103/PhysRevD.47.5494.
Allen, T.J., & Crossley, D.B. Harmonic BRST quantization of systems with irreducible holomorphic bosonic and fermionic constraints. United States. doi:10.1103/PhysRevD.47.5494.
Allen, T.J., and Crossley, D.B. 1993.
"Harmonic BRST quantization of systems with irreducible holomorphic bosonic and fermionic constraints". United States.
doi:10.1103/PhysRevD.47.5494.
@article{osti_6498451,
title = {Harmonic BRST quantization of systems with irreducible holomorphic bosonic and fermionic constraints},
author = {Allen, T.J. and Crossley, D.B.},
abstractNote = {We consider systems with secondclass constraints or, equivalently, firstclass holomorphic constraints. We show that the harmonic BecchiRouetStoraTyutin method of quantizing systems with bosonic holomorphic constraints extends to systems having both bosonic and fermionic holomorphic constraints. The ghosts for bosonic holomorphic constraints in the harmonic BRST method have a Poisson brackets structure different from that of the ghosts in the usual BRST method, which applies to systems with real firstclass constraints. Apart from this exotic ghost structure for bosonic constraints, the new feature of the harmonic BRST method is the introduction of two new holomorphic BRST charges [Theta] and [bar [Theta]] and the addition of an extra term [minus][beta][l brace][Theta],[bar [Theta]][r brace] to the BRSTinvariant Hamiltonian. We apply the FradkinVilkovisky theorem to general systems with mixed bosonic and fermionic holomorphic constraints and show that, taking an appropriate limit, the extra term in the harmonic BRSTmodified path integral reproduces the correct Senjanovic measure.},
doi = {10.1103/PhysRevD.47.5494},
journal = {Physical Review, D (Particles Fields); (United States)},
number = ,
volume = 47:12,
place = {United States},
year = 1993,
month = 6
}

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