Dirac theory from a field theoretic point of view

Details Dirac theory from a field theoretic point of view Dirac theory from a field theoretic point of view

1996-06-10

arxiv.org/abs/hep-th/9606048v1

Clifford Alg. and their Appl. in Math. Phys. Aachen 1996, V. Dieterich et al. eds. Kluwer /Dordrecht (1998) 89-107

Physics

High Energy Physics

High Energy Physics - Theory

16 pages LaTeX (a4.sty), Lectur at the 4th Int. Conf. on Clifford Algebras and their Appl. in Math. Physics (May 28-31 1996/

Scientific paper

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.

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