Nonlocal Dynamics of p-Adic Strings

Abstract

We consider the construction of Lagrangians that might be suitable for describing the entire $p$-adic sector of an adelic open scalar string. These Lagrangians are constructed using the Lagrangian for $p$-adic strings with an arbitrary prime number $p$. They contain space-time nonlocality because of the d'Alembertian in argument of the Riemann zeta function. We present a brief review and some new results.

8 pages

References in corpus (8)

• p-Adic Mathematical Physics
• Quantization of the Riemann Zeta-Function and Cosmology
• Zeta Nonlocal Scalar Fields
• Some Lagrangians with Zeta Function Nonlocality
• SFT non-locality in cosmology: solutions, perturbations and observational evidences
• Towards effective Lagrangians for adelic strings
• Lagrangians with Riemann Zeta Function
• On p-Adic Sector of Adelic String

Cited by in corpus (9)

• $p$-Adic Mathematical Physics: The First 30 Years
• On Modified Gravity
• On Nonlocal Modified Gravity and its Cosmological Solutions
• On Nonlocal Modified Gravity and Cosmology
• New Cosmological Solutions in Nonlocal Modified Gravity
• Towards p-Adic Matter in the Universe
• Patterns of Primes and Composites from Divisibility Network of Natural Numbers
• The Borel transform and linear nonlocal equations: applications to zeta-nonlocal field models
• From $p$-Adic to Zeta Strings