# Towards effective Lagrangians for adelic strings

@article{Dragovich2009TowardsEL,
title={Towards effective Lagrangians for adelic strings},
author={Branko Dragovich},
journal={Fortschritte der Physik},
year={2009},
volume={57}
}
• B. Dragovich
• Published 2 February 2009
• Mathematics, Physics
• Fortschritte der Physik
p‐Adic strings are important objects of string theory, as well as of p‐adic mathematical physics and nonlocal cosmology. By a concept of adelic string one can unify and simultaneously study various aspects of ordinary and p‐adic strings. By this way, one can consider adelic strings as a very useful instrument in the further investigation of modern string theory. It is remarkable that for some scalar p‐adic strings exist effective Lagrangians, which are based on real instead of p‐adic numbers…
11 Citations

We study the construction of Lagrangians that can be considered the Lagrangians of the p-adic sector of an adelic open scalar string. Such Lagrangians are closely related to the Lagrangian for a

### From $p$-Adic to Zeta Strings

This article is related to construction of zeta strings from $p$-adic ones. In addition to investigation of $p$-adic string for a particular prime number $p$, it is also interesting to study

### Nonlocal dynamics of p-adic strings

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

### On the possible applications of some theorems concerning the Number Theory to the various mathematical aspects and sectors of String Theory I

The aim of this paper is that of show the further and possible connections between the p-adic and adelic strings and Lagrangians with Riemann zeta function with some problems, equations and theorems

### p-Adic mathematical physics: the first 30 years

• Physics, Education
• 2017
A brief review of main achievements in some selected topics of p-adic mathematical physics and its applications, especially in the last decade, mainly paid to developments with promising future prospects.

### A Laplace transform approach to linear equations with infinitely many derivatives and zeta-nonlocal field equations

• Mathematics
Advances in Theoretical and Mathematical Physics
• 2019
We study existence, uniqueness and regularity of solutions for linear equations in infinitely many derivatives. We develop a natural framework based on Laplace transform as a correspondence between

### The Borel transform and linear nonlocal equations: applications to zeta-nonlocal field models

• Mathematics
• 2019
We define rigorously operators of the form $f(\partial_t)$, in which $f$ is an analytic function on a simply connected domain. Our formalism is based on the Borel transform on entire functions of

### p-adic methods in string theory

Treballs Finals de Grau de Fisica, Facultat de Fisica, Universitat de Barcelona, Any: 2015, Tutor: Artur Travesa

## References

SHOWING 1-10 OF 53 REFERENCES

### 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

### Effective scalar field theory of p-adic string.

• Mathematics
Physical review. D, Particles and fields
• 1988
Using the effective scalar field theory of the p-adic string, we show the equivalence of two previously derived sets of classical Feynman rules: one by the present authors, the other by Brekke et al.

• Mathematics
• 2007
We construct approximate inflationary solutions rolling away from the unstable maximum of p-adic string theory, a nonlocal theory with derivatives of all orders. Novel features include the existence

• Physics
• 2002
We consider the formulation and some elaboration of p-adic and adelic quantum cosmology. The adelic generalization of the Hartle–Hawking proposal does not work in models with matter fields. p-adic

### Dynamics with Infinitely Many Time Derivatives and Rolling Tachyons

• Physics
• 2002
Both in string field theory and in p-adic string theory the equations of motion involve infinite number of time derivatives. We argue that the initial value problem is qualitatively different from

### Quantization of the Riemann Zeta-Function and Cosmology

• Mathematics
• 2007
Quantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and quantum field