Spinor and Isospinor Structure of Relativistic Particle Propagators

Details Spinor and Isospinor Structure of Relativistic Particle Propagators Spinor and Isospinor Structure of Relativistic Particle Propagators

1993-10-21

arxiv.org/abs/hep-th/9310142v1

Phys.Lett. B318 (1993) 122-126; Erratum-ibid. B331 (1994) 449

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Preprint IC/93/197 Trieste

Scientific paper

10.1016/0370-2693(93)91794-N

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.

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