Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-04-25
Theor.Math.Phys.157:1671-1677,2008
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, submitted to Theoretical and Mathematical Physics
Scientific paper
10.1007/s11232-008-0139-z
We consider some nonlocal and nonpolynomial scalar field models originated from p-adic string theory. Infinite number of spacetime derivatives is determined by the operator valued Riemann zeta function through d'Alembertian $\Box$ in its argument. Construction of the corresponding Lagrangians L starts with the exact Lagrangian $\mathcal{L}_p$ for effective field of p-adic tachyon string, which is generalized replacing p by arbitrary natural number n and then taken a sum of $\mathcal{L}_n$ over all n. The corresponding new objects we call zeta scalar strings. Some basic classical field properties of these fields are obtained and presented in this paper. In particular, some solutions of the equations of motion and their tachyon spectra are studied. Field theory with Riemann zeta function dynamics is interesting in its own right as well.
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