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Through the continuum limit of the one matrix model on the multicritical point the corresponding Schwinger-Dyson equation of temporal-gauge string field theory is derived. It agrees with that of the background independent formulation…

High Energy Physics - Theory · Physics 2017-02-01 Michio Ikehara

We briefly review the equations of motion and the space-time interval due to the nonlinear cosmic string that have been derived in ref. [3] for the first time. The different types of isotropic and nonisotropic geodesic lines in the…

General Physics · Physics 2007-05-23 L. M. Chechin , T. B. Omarov

Recently, some of the authors have introduced a new interpretation of matrix models in which covariant derivatives on any curved space can be expressed by large-N matrices. It has been shown that the Einstein equation follows from the…

High Energy Physics - Theory · Physics 2008-11-26 Ko Furuta , Masanori Hanada , Hikaru Kawai , Yusuke Kimura

Exploiting the strict analogy between the motion of strings and extended-like spinning particles, we propose an original kinematical formulation of the spin of bosonic strings and give, for the first time, an analytical derivation of an…

High Energy Physics - Theory · Physics 2009-11-11 Giovanni Salesi

The Einstein field equations are derived for a static cylindrically symmetric spacetime with elastic matter. The equations can be reduced to a system of two nonlinear ordinary differential equations and we present analytical and numerical…

General Relativity and Quantum Cosmology · Physics 2014-03-25 I. Brito , J. Carot , F. C. Mena , E. G. L. R. Vaz

We construct the string field Hamiltonian for $c=1-\frac{6}{m(m+1)}$ string theory in the temporal gauge. In order to do so, we first examine the Schwinger-Dyson equations of the matrix chain models and propose the continuum version of…

High Energy Physics - Theory · Physics 2009-10-28 M. Ikehara , N. Ishibashi , H. kawai , T. Mogami , R. Nakayama , N. Sasakura

Nonrelativistic string theory is a unitary, ultraviolet finite quantum gravity theory with a nonrelativistic string spectrum. The vertex operators of the worldsheet theory determine the spacetime geometry of nonrelativistic string theory,…

High Energy Physics - Theory · Physics 2019-10-23 Jaume Gomis , Jihwan Oh , Ziqi Yan

A new method for derivation of the equation of motion from the field equation is proposed. The problem of embedding the singularities in a field satisfying the field equations is discussed.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shmuel Kaniel , Yakov Itin

Cosmological evolution of axionic strings is investigated by numerically solving field equations of a complex scalar field in 3+1 dimensions. It is shown that the global strings relax to the scaling solution with a significantly smaller…

High Energy Physics - Phenomenology · Physics 2009-10-31 Masahide Yamaguchi , M. Kawasaki , Jun'ichi Yokoyama

String vibration represents an active field of research in acoustics. Small-amplitude vibration is often assumed, leading to simplified physical models that can be simulated efficiently. However, the inclusion of nonlinear phenomena due to…

Numerical Analysis · Mathematics 2022-06-08 Michele Ducceschi , Stefan Bilbao

A simple model for the formation of a straight cosmic string, wiggly or unperturbed is considered. The gravitational field of such string is computed in the linear approximation. The vacuum expectation value of the stress tensor of a…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Antonio Campos , Rosario Martín , Enric Verdaguer

We study the small vibrations of axially moving strings described by a wave equation in an interval with two endpoints moving in the same direction with a constant speed. The solution is expressed by a series formula where the coefficients…

Analysis of PDEs · Mathematics 2023-04-11 Seyf Eddine Ghenimi , Abdelmouhcene Sengouga

The possibility of the cosmic string creation by the vacuum fluctuations of quantum fields in the self-consistent semiclassical theory of gravity is discussed. We use the approximate method for obtaining vacuum expectation value of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Arkadii Popov

String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In arXiv:1709.03506, the perturbative string theory is reproduced from a string geometry model coupled with a $u(1)$ gauge field on string…

High Energy Physics - Theory · Physics 2020-10-16 Matsuo Sato , Yuji Sugimoto

We analyze the problem of calculating the solutions and the spectrum of a string with arbitrary density and fixed ends. We build a perturbative scheme which uses a basis of WKB-type functions and obtain explicit expressions for the…

Mathematical Physics · Physics 2015-05-20 Paolo Amore

For the case of tension tensor containing nonlinear terms in $l^{\alpha}$, we give generalization of Vilenkin metrics and equations of motion of cosmic string. Dynamics of nonlinear string in (1+1)-dimensional universe is discussed.

Astrophysics · Physics 2014-10-13 L. M. Chechin , T. B. Omarov

String geometry theory is a candidate of the non-perturbative formulation of string theory. In order to determine the string vacuum, we need to clarify how string backgrounds are described in string geometry theory. In this paper, we show…

High Energy Physics - Theory · Physics 2021-02-26 Masaki Honda , Matsuo Sato

We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces…

High Energy Physics - Theory · Physics 2021-02-03 Matsuo Sato

We develop a model of string dynamics with back-reaction from both scaling and non-scaling loops taken into account. The evolution of a string network is described by the distribution functions of coherence segments and kinks. We derive two…

High Energy Physics - Theory · Physics 2010-11-19 Vitaly Vanchurin

Segmented strings in flat space are piecewise linear classical string solutions. Kinks between the segments move with the speed of light and their worldlines form a lattice on the worldsheet. This idea can be generalized to AdS$_3$ where…

High Energy Physics - Theory · Physics 2016-03-16 David Vegh