# A Solution to Non-Linear Movement Equations of Nambu-Goto String

@inproceedings{Bollini2009AST, title={A Solution to Non-Linear Movement Equations of Nambu-Goto String}, author={Carlos Guido Bollini and Maria Cossu Rocca}, year={2009} }

In this paper we solve the non-linear Lagrange's equations for the Nambu-Goto closed bosonic string. We show that Ultradistributions of Exponential Type (UET) are appropriate for the description in a consistent way string and string field theories. We also prove that the string field is a linear superposition of UET of compact support (CUET), and give the notion of anti-string. We evaluate the propagator for the string field, and calculate the convolution of two of them.

## References

SHOWING 1-10 OF 28 REFERENCES

### World Sheet Superstring and Superstring Field Theory: a new solution using Ultradistributions of Exponential Type

- Mathematics
- 2010

In this paper we show that Ultradistributions of Exponential Type (UET) are appropriate for the description in a consistent way world sheet superstring and superstring field theories. A new…

### Superstring and Superstring Field Theory: A New Solution Using Ultradistributions of Exponential Type

- Mathematics, Computer Science
- 2009

In this paper we show that Ultradistributions of Exponential Type (UET) are appropriate for the description in a consistent way superstring and superstring field theories. A new Lagrangian for the…

### Lorentz-Invariant Pseudo-Differential Wave Equations

- Mathematics
- 1998

We define in a consistent way nonlocalpseudo-differential operators acting on a space ofanalytic functionals. We discuss the relation of ourmethod to other definitions for nonlocal operators. Weshow…

### Bosonic String and String Field Theory: a solution using Ultradistributions of Exponential Type

- Mathematics
- 2007

This work was partially supported by Consejo Nacional de Investigaciones Cient́ıficas and Comisión de Investigaciones Cient́ıficas de la Pcia. de Buenos Aires; Argentina.

### Relativistic quantum mechanics of one-dimensional mechanical continuum and subsidiary condition of dual resonance model

- Physics
- 1971

Relativistic quantum mechanics of a finite one-dimensional continuum is studied in the framework of Dirac's generalized Hamiltonian dynamics. It is shown that the wave equation and subsidiary…

### Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances

- Mathematics
- 2007

Abstract
In this work, a general definition of convolution between two arbitrary Ultradistributions of Exponential type (UET) is given. The product of two arbitrary UET is defined via the convolution…

### Study of Gamow States in the Rigged Hilbert Space with Tempered Ultradistributions

- Mathematics
- 1999

In this work we show that it is possible to extend analytically, and with the use of tempered ultradistributions, the "pseudonorm" defined by T. Berggren for Gamow states. We define this "pseudonorm"…

### Convolution of n-Dimensional Tempered Ultradistributions and Field Theory

- Mathematics
- 2003

In this work, a general definition of convolution between two arbitrary tempered ultradistributions is given. When one of the tempered ultradistributions is rapidly decreasing this definition…

### Gamow states as continuous linear functionals over analytical test functions

- Mathematics
- 1996

The space of analytical test functions ξ, rapidly decreasing on the real axis (i.e., Schwartz test functions of the type S on the real axis), is used to construct the rigged Hilbert space (RHS)…