Simple Grassmannian path integral representation of the Dirac propagator

Journal Article · Sun Jun 01 04:00:00 EDT 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527080· OSTI ID:5764320

Rumpf, H

Starting from the affinely parametrized supersymmetric Dirac particle model a Grassmannian path integral expression for the propagator of the Dirac equation, minimally coupled to an external electromagnetic field, is derived. A purely ''bosonic'' path integral representation of the propagator of the iterated minimally coupled Dirac equation is also obtained. It appears that a Nicolai mapping exists, even in a formal sense, only in the case of a constant external field.

• Research Organization: Institut fuer Theoretische Physik, Universitaet Wien, A-1090 Vienna, Austria
• OSTI ID: 5764320
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTROMAGNETIC FIELDS
EQUATIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
HAMILTONIAN FUNCTION
INTEGRALS
LAGRANGIAN FUNCTION
MATRIX ELEMENTS
PARTIAL DIFFERENTIAL EQUATIONS
PROPAGATOR
QUANTUM FIELD THEORY
SUPERSYMMETRY
SYMMETRY
WAVE EQUATIONS