• Corpus ID: 16712172

LAGRANGIANS WITH RIEMANN ZETA FUNCTION

@article{Dragovich2008LAGRANGIANSWR,
  title={LAGRANGIANS WITH RIEMANN ZETA FUNCTION},
  author={Branko Dragovich},
  journal={arXiv: High Energy Physics - Theory},
  year={2008}
}
  • B. Dragovich
  • Published 1 September 2008
  • Mathematics
  • arXiv: High Energy Physics - Theory
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. 

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

Towards effective Lagrangians for adelic strings

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

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

p-Adic mathematical physics: the first 30 years

p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a

p-Adic mathematical physics: the first 30 years

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.

The p-adic sector of the adelic string

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

References

SHOWING 1-10 OF 17 REFERENCES

Zeta Strings

We introduce nonlinear scalar field models for open and open-closed strings with spacetime derivatives encoded in the operator val-ued Riemann zeta function. The corresponding two Lagrangians are

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

Zeta-nonlocal scalar fields

AbstractWe 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

On Exact Tachyon Potential in Open String Field Theory

In these notes we revisit the tachyon lagrangian in the open string field theory using background independent approach of Witten from 1992. We claim that the tree level lagrangian (up to second order

Adelic Harmonic Oscillator

Using the Weyl quantization we formulate one-dimensional adelic quantum mechanics, which unifies and treats ordinary and p-adic quantum mechanics on an equal footing. As an illustration the

P-adic analysis and mathematical physics

P-adic numbers p-adic analysis non-Archimedean geometry distribution theory pseudo differential operators and spectral theory p-adic quantum mechanics and representation theory quantum field theory

Bouncing and accelerating solutions in nonlocal stringy models

A general class of cosmological models driven by a nonlocal scalar field inspired by string field theories is studied. In particular cases the scalar field is a string dilaton or a string tachyon. A

p-Adic and Adelic Quantum Mechanics

p-Adic mathematical physics emerged as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale. One of its main achievements is a successful

Nonlinear equations for p-adic open, closed, and open-closed strings

We investigate the structure of solutions of boundary value problems for a one-dimensional nonlinear system of pseudodifferential equations describing the dynamics (rolling) of p-adic open, closed,

p-adic inflation

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