# Some Lagrangians with Zeta Function Nonlocality

@article{Dragovich2008SomeLW, title={Some Lagrangians with Zeta Function Nonlocality}, author={Branko Dragovich}, journal={arXiv: High Energy Physics - Theory}, year={2008} }

Some nonlocal and nonpolynomial scalar field models originated from p-adic string theory are considered. Infinite number of spacetime derivatives is governed by the Riemann zeta function through d'Alembertian $\Box$ in its argument. Construction of the corresponding Lagrangians begins with the exact Lagrangian for effective field of p-adic tachyon string, which is generalized replacing p by arbitrary natural number n and then taken a sum of over all n. Some basic classical field properties of…

## 16 Citations

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