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Foundations of Physics

, Volume 35, Issue 9, pp 1617–1642 | Cite as

Clifford Space as a Generalization of Spacetime: Prospects for QFT of Point Particles and Strings

  • Matej Pavšič
Article

The idea that spacetime has to be replaced by Clifford space (C-space) is explored. Quantum field theory (QFT) and string theory are generalized to C-space. It is shown how one can solve the cosmological constant problem and formulate string theory without central terms in the Virasoro algebra by exploiting the peculiar pseudo-Euclidean signature of C-space and the Jackiw definition of the vacuum state. As an introduction into the subject, a toy model of the harmonic oscillator in pseudo-Euclidean space is studied.

Keywords

quantum field theory strings Clifford algebra 

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Jožef Stefan InstituteLjubljanaSlovenia

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