Spinor and Isospinor Structure of Relativistic Particle Propagators

Abstract

Representations by means of path integrals are used to find spinor and isospinor structure of relativistic particle propagators in external fields. For Dirac propagator in an external electromagnetic field all grassmannian integrations are performed and a general result is presented via a bosonic path integral. The spinor structure of the integrand is given explicitly by its decomposition in the independent $\gamma$-matrix structures. Similar technique is used to get the isospinor structure of the scalar particle propagator in an external non-Abelian field.

9 pages, Preprint IC/93/197 Trieste

References in corpus (1)

• Quantization of Spinning Particle with Anomalous Magnetic Momentum

Cited by in corpus (8)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Spin Factor in Path Integral Representation for Dirac Propagator in External Fields
• Path Integrals and Pseudoclassical Description for Spinning Particles in Arbitrary Dimensions
• Path Integrals for Potential Scattering
• Functional integral over velocities for a spinning particle with and without anomalous magnetic moment in a constant electromagnetic field
• Siegel superparticle, higher order fermionic constraints, and path integrals
• Pseudoclassical description of scalar particle in non-Abelian background and path-integral representations
• Scattering Theory with Path Integrals