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

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

2005-01-27

arxiv.org/abs/hep-th/0501222v1

Found.Phys. 35 (2005) 1617-1642

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1007/s10701-005-6485-x

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.

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