Path-integral representation for the relativistic particle propagators and BFV quantization

Journal Article · Thu Nov 14 23:00:00 EST 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.3230· OSTI ID:6104196

Fradkin, E S; Gitman, D M ^[1]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts (USA)

The path-integral representations for the propagators of scalar and spinor fields in an external electromagnetic field are derived. The Hamiltonian form of such expressions can be interpreted in the sense of Batalin-Fradkin-Vilkovisky quantization of one-particle theory. The Lagrangian representation as derived allows one to extract in a natural way the expressions for the corresponding gauge-invariant (reparametrization- and supergauge-invariant) actions for pointlike scalar and spinning particles. At the same time, the measure and ranges of integrations, admissible gauge conditions, and boundary conditions can be exactly established.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 6104196
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
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Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
EXTENDED PARTICLE MODEL
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
HAMILTONIANS
INTEGRALS
INVARIANCE PRINCIPLES
KLEIN-GORDON EQUATION
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PHASE SPACE
PROPAGATOR
QUANTIZATION
QUANTUM OPERATORS
QUARK MODEL
RELATIVITY THEORY
SCALAR FIELDS
SPACE
SPINOR FIELDS
STRING MODELS
SUPERSYMMETRY
SYMMETRY
WAVE EQUATIONS