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CALT-68-1485 DOE RESEARCH AND
 

Summary: CALT-68-1485
DOE RESEARCH AND
DEVELOPMENT REPORT
The Dirac Propagator From Pseudoclassical Mechanics
Theodore J. Allen
California Institute of Technology, Pasadena, CA 91125
Abstract
In this note it is demonstrated that the unitary propagator is obtained from the
pseudoclassical system proposed as a first-quantized version of the Dirac particle by
Berezin and Marinov. The action for the system is written in a form which has
manifest global supersymmetry on the worldline.
In Memoriam Richard P. Feynman
Work supported in part by the U.S. Department of Energy under contract No. DEAC-03-81-
ER40050
Address after September 1, 1988 : Department of Physics, Syracuse University, Syracuse, NY
13244-1130.
1. Introduction
Little is known of the point particle versions of quantum field theories while
much is known about quantum field theories. On the other hand, string theories are
understood only in their first-quantized form. By understanding well the connection

  

Source: Allen, Theodore J. - Physics Department, Hobart and William Smith Colleges

 

Collections: Physics