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

Journal Article · Fri Nov 15 00:00:00 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), Vol. 44:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SCALAR FIELDS
PROPAGATOR
SPINOR FIELDS
BOUNDARY CONDITIONS
ELECTROMAGNETIC FIELDS
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
HAMILTONIANS
KLEIN-GORDON EQUATION
LAGRANGIAN FUNCTION
PHASE SPACE
QUANTIZATION
RELATIVITY THEORY
STRING MODELS
SUPERSYMMETRY
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM OPERATORS
QUARK MODEL
SPACE
SYMMETRY
WAVE EQUATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)