SPINOR AND ISOSPINOR STRUCTURE OF RELATIVISTIC PARTICLE PROPAGATORS

Citation
Dm. Gitman et Sm. Shvartsman, SPINOR AND ISOSPINOR STRUCTURE OF RELATIVISTIC PARTICLE PROPAGATORS, Physics letters. Section B, 318(1), 1993, pp. 122-126
Citations number
25
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
318
Issue
1
Year of publication
1993
Pages
122 - 126
Database
ISI
SICI code
0370-2693(1993)318:1<122:SAISOR>2.0.ZU;2-7
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 presen ted via a bosonic path integral. The spinor structure of the integrand is given explicitly by its decomposition in the independent gamma-mat rix structures. Similar technique is used to get the isospinor structu re of the scalar particle propagator in an external non-Abelian field.