NonString Pursuit towards Unified Model on the Lattice
Abstract
Nonstandard overview on the possible formulation towards a unified model on the lattice is presented. It is based on the generalized gauge theory which is formulated by differential forms and thus expected to fit in a simplicial manifold. We first review suggestive known results towards this direction. As a small step of concrete realization of the program, we propose a lattice ChernSimons gravity theory which leads to the ChernSimons gravity in the continuum limit via PonzanoRegge model. We then summarize the quantization procedure of the generalized gauge theory and apply the formulation to the generalized topological YangMills action with instanton gauge fixing. We find N=2 super YangMills theory with DiracKähler fermions which are generated from ghosts via twisting mechanism. The WeinbergSalam model is formulated by the generalized YangMills action which includes Connes's noncommutative geometry formulation as a particular case. In the end a possible scenario to realize the program is proposed. The formulations given here are by far incomplete towards the final goal yet include hopeful evidences. This summary of the overview is the extended version of a talk given at NishinomiyaYukawa memorial symposium (Nishinomiyacity Japan, Nov. 1998).
 Publication:

Progress of Theoretical Physics Supplement
 Pub Date:
 1999
 DOI:
 10.1143/PTPS.134.84
 arXiv:
 arXiv:hepth/9904089
 Bibcode:
 1999PThPS.134...84K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTeX, 70 pages, 26 eps figures