BRST field theories for a quantum Lorentz particle

Journal Article · Tue Mar 10 04:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X9200051X· OSTI ID:5548920

Hatsuda, M ^[1]

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1. Inst. for Theoretical Physics, State Univ. of New York at Stony Brook, Stony Brook, NY (US)

From the study of string field theory, first quantized BRST symmetry is known to be a guiding principle in constructing field theories. The authors construct the first quantized BRST charge Q{sub B} for a quantum Lorentz particle which is characterized by the constraints which are expressed in terms of (inhomogeneous) Lorentz generators. In this paper, it is shown that the BRST cohomology of this system includes only the field strengths and not the fundamental gauge fields with nontrivial norms. By using this BRST charge, the authors obtain the field theory Lagrangian via the {integral}{Psi}Q{sub B}{Psi} construction, which leads to field equations for fields with arbitrary spin. However, this action cannot be used to derive a second quantized theory except for Dirac fields. For antisymmetric tensor fields, the authors can get the correct second quantized theories if we introduce extra conditions.

• OSTI ID: 5548920
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 77:6; ISSN 0217-751X; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARGED PARTICLES
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD EQUATIONS
FIELD THEORIES
FLUIDS
FULLY IONIZED GASES
FUNCTIONS
GASES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
IONIZED GASES
LAGRANGIAN FUNCTION
LIE GROUPS
LORENTZ GAS
LORENTZ GROUPS
MATHEMATICAL MODELS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POINCARE GROUPS
QUANTIZATION
QUANTUM MECHANICS
QUARK MODEL
SECOND QUANTIZATION
STRING MODELS
SYMMETRY
SYMMETRY GROUPS
TENSORS
WAVE EQUATIONS