Zeta-nonlocal scalar fields |
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Authors: | B Dragovich |
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Institution: | (1) Institute of Physics, Belgrade, Serbia |
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Abstract: | We consider some nonlocal and nonpolynomial scalar field models originating from p-adic string theory. An infinite number
of space-time derivatives is determined by the operator-valued Riemann zeta function through the d’Alembertian □ in its argument.
The construction of the corresponding Lagrangians L starts with the exact Lagrangian for the effective field of the p-adic tachyon string, which is generalized by replacing p with an arbitrary natural number
n and then summing over all n. We obtain several basic classical properties of these fields. In particular, we study some solutions of the equations
of motion and their tachyon spectra. The field theory with Riemann zeta-function dynamics is also interesting in itself.
Dedicated to Vasilii Sergeevich Vladimirov on his 85th birthday
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 157, No. 3, pp. 364–372, December, 2008. |
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Keywords: | nonlocal field theory p-adic string theory Riemann zeta function |
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