• Corpus ID: 16499990

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}
}
  • B. Dragovich
  • Published 4 May 2008
  • Mathematics
  • arXiv: High Energy Physics - Theory
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… 

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