Lagrangians with Riemann Zeta Function

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, Romanian Journal of Physics (volume 53, No. 9-10, 2008)

Scientific paper

We consider construction of some Lagrangians which contain the Riemann zeta function. The starting point in their construction is p-adic string theory. These Lagrangians describe some nonlocal and nonpolynomial scalar field models, where nonlocality is controlled by the operator valued Riemann zeta function. The main motivation for this research is intention to find an effective Lagrangian for adelic scalar strings.

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