Spin factor in the path integral representation for the Dirac propagator in external fields

Journal Article · Sun Jun 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.7701· OSTI ID:530254

Gitman, D M ^[1]; Zlatev, S I ^[2]

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1. Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 66318-CEP 05315-970-Sao Paulo, SP (Brazil)
2. Departamento de Fisica, Universidade Federal de Sergipe, 49000-000 Aracaju, SE (Brazil)

We study the problem of the spin factor both in 3+1 and 2+1 dimensions, two cases which are essentially different in this respect. Doing all Grassmann integrations in the corresponding path integral representations for the Dirac propagator we get representations with a spin factor in an arbitrary external field. Thus, the propagator appears to be presented by means of a bosonic path integral only. Then we use the representations with a spin factor for calculations of the propagator in some configurations of external fields: namely, in a constant uniform electromagnetic field and in its combination with a plane wave field. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 530254
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DIRAC EQUATION
DIRAC OPERATORS
ELECTROMAGNETIC FIELDS
FEYNMAN PATH INTEGRAL
FOUR-DIMENSIONAL CALCULATIONS
PROPAGATOR
SPIN
THREE-DIMENSIONAL CALCULATIONS