Hidden symmetries in quantum field theories from extended complex numbers
高能物理 - 理论
2014-11-18 v2
摘要
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.
引用
@article{arxiv.hep-th/9905133,
title = {Hidden symmetries in quantum field theories from extended complex numbers},
author = {Pascal Baseilhac},
journal= {arXiv preprint arXiv:hep-th/9905133},
year = {2014}
}
备注
34 pages, 2 figures, LaTex file with amstex, epsfig, misprint corrected, references added