# Zeta Strings

@inproceedings{Dragovich2007ZetaS, title={Zeta Strings}, author={Branko Dragovich}, year={2007} }

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 derived in an adelic approach starting from the exact Lagrangians for eﬀective ﬁelds of p -adic tachyon strings. As a result tachyons are absent in these models. These new strings we propose to call zeta strings. Some basic classical properties of the zeta strings are obtained and presented in this…

## 48 Citations

### LAGRANGIANS WITH RIEMANN ZETA FUNCTION

- Mathematics
- 2008

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…

### Nonlocal dynamics of p-adic strings

- Mathematics
- 2010

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…

### The p-adic sector of the adelic string

- Mathematics
- 2010

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…

### Some Lagrangians with

- Mathematics
- 2008

Some nonlocal and nonpolynomial scalar field models originated from p-adic string theory are considered. Infinite number of space- time derivatives is governed by the Riemann zeta function through…

### Thermodynamics of string field theory motivated nonlocal models

- Physics
- 2012

A bstractWe investigate the thermodynamic properties of the nonlocal tachyon motivated by their nonlocal structure in string field theory. We use previously developed perturbative methods for…

### Some Lagrangians with Zeta Function Nonlocality

- Mathematics
- 2008

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…

### Thermodynamics and cosmological constant of non-local field theories from p-adic strings

- Physics
- 2010

We develop the thermodynamics of field theories characterized by non-local propagators. We analyze the partition function and main thermodynamic properties arising from perturbative thermal loops. We…

### Cosmological Signature of Tachyon Condensation

- Physics
- 2008

We consider the dynamics of the open string tachyon condensation in a framework of the cubic fermionic String Field Theory including a non-minimal coupling with closed string massless modes, the…

### Generalised boundary terms for higher derivative theories of gravity

- Mathematics
- 2016

A bstractIn this paper we wish to find the corresponding Gibbons-Hawking-York term for the most general quadratic in curvature gravity by using Coframe slicing within the Arnowitt-Deser-Misner (ADM)…

### On the Riemann Hypothesis. Formulas explained - ψ(x) as equivalent RH. Mathematical connections with “Aurea” section and some sectors of String Theory.

- Mathematics
- 2009

In this work the authors will examine the themes of RH, equivalent RH and GRH. The authors will explain some formulas and will show other special functions that are usually introduced with the PNT…

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