Zeta Nonlocal Scalar Fields
نویسنده
چکیده
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 in its argument. Construction of the corresponding Lagrangians L starts with the exact Lagrangian Lp for effective field of p-adic tachyon string, which is generalized replacing p by arbitrary natural number n and then taken a sum of Ln 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. Dedicated to Vasiliy Sergeevich Vladimirov on the occasion of his 85th birthday
منابع مشابه
Some Lagrangians with Zeta Function Nonlocality
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 in its argument. Construction of the corresponding Lagrangians begins with the exact Lagrangian for effective field of padic tachyon string, which is generalized replacing p by arbitrary n...
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