Dirac theory from a field theoretic point of view
Abstract
Description
Several complications arise in quantum field theory because of the infinite many degrees of freedom. However, the distinction between one-particle and many-particle effects -- mainly induced by the vacuum -- is not clear up to now. A field theoretic picture of the one-particle Dirac theory is developed in order to explore such questions. Main emphasis is laid on the injection of Grassmann's algebra into the endomorphism Clifford algebra built over it. The obtained ``field theoretic'' functional equation behaves in a very unusual way. New methods to handle Dirac and QFT are given.
16 pages LaTeX (a4.sty), Lectur at the 4th Int. Conf. on Clifford Algebras and their Appl. in Math. Physics (May 28-31 1996/ RWTH-Aachen/Germany)
16 pages LaTeX (a4.sty), Lectur at the 4th Int. Conf. on Clifford Algebras and their Appl. in Math. Physics (May 28-31 1996/ RWTH-Aachen/Germany)