On p-Adic Sector of Adelic String
High Energy Physics - Theory
2014-11-20 v1 Mathematical Physics
math.MP
Abstract
We consider construction of Lagrangians which are candidates for p-adic sector of an adelic open scalar string. Such Lagrangians have their origin in Lagrangian for a single p-adic string and contain the Riemann zeta function with the d'Alembertian in its argument. In particular, we present a new Lagrangian obtained by an additive approach which takes into account all p-adic Lagrangians. The very attractive feature of this new Lagrangian is that it is an analytic function of the d'Alembertian. Investigation of the field theory with Riemann zeta function is interesting in itself as well.
Cite
@article{arxiv.0911.3625,
title = {On p-Adic Sector of Adelic String},
author = {Branko Dragovich},
journal= {arXiv preprint arXiv:0911.3625},
year = {2014}
}
Comments
10 pages. Presented at the 2nd Conf. on SFT and Related Topics, Moscow, April 2009. Submitted to Theor. Math. Phys