Hidden symmetries in quantum field theories from extended complex numbers

Details Hidden symmetries in quantum field theories from extended complex numbers Hidden symmetries in quantum field theories from extended complex numbers

1999-05-18

arxiv.org/abs/hep-th/9905133v2

Int.J.Mod.Phys. A14 (1999) 4201

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 2 figures, LaTex file with amstex, epsfig, misprint corrected, references added

Scientific paper

10.1142/S0217751X99001986

The 2-dimensional space-time sine-Gordon field theory is extended algebraically within the n-dimensional space of extended complex numbers. This field theory is constructed in terms of an adapted extension of standard vertex operators. A whole set of non-local conserved charges is constructed and studied in this framework. Thereby, an algebraic non-perturbative description is possible for this n-1 parameters family of quantum field theories. Known results are obtained for specific values of the parameters, especially in relation to affine Toda field theories. Different (dual)-models can then be described in this formalism.

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