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Classical and quantum solutions for the relativistic straight-line string with arbitrary dependence on the world surface curvature are obtained. They differ from the case of the usual Nambu-Goto interaction by the behaviour of the Regge…

High Energy Physics - Theory · Physics 2007-05-23 L. D. Soloviev

String algebras, in the usual sense, are finite-dimensional algebras over a given ground field. We recall a generalisation of the definition of a string algebra, which was introduced in a previous paper of the author. This generalisation…

Representation Theory · Mathematics 2024-05-07 Raphael Bennett-Tennenhaus

String field theory is a candidate for a full non-perturbative definition of string theory. We aim to define string field theory on a space-time lattice to investigate its behaviour at the quantum level. Specifically, we look at string…

High Energy Physics - Lattice · Physics 2010-12-23 Francis Bursa , Michael Kroyter

String constraint solving refers to solving combinatorial problems involving constraints over string variables. String solving approaches have become popular over the last years given the massive use of strings in different application…

Artificial Intelligence · Computer Science 2021-07-01 Roberto Amadini

Perturbative string amplitudes are correctly derived from the string geometry theory, which is one of the candidates of a non-perturbative formulation of string theory. In order to derive non-perturbative effects rather easily, we formulate…

High Energy Physics - Theory · Physics 2020-10-15 Matsuo Sato , Yuji Sugimoto

Analytical expressions are provided for the configurations of an inextensible, flexible, twistable inertial string rotating rigidly about a fixed axis. Solutions with trivial radial dependence are helices of arbitrary radius and pitch.…

Classical Physics · Physics 2013-05-22 J. A. Hanna

One cannot pull an open, curved string along itself. This fact is clearly reflected in the unwrapping motion of a string or chain as it is dragged around an object, and implies strong consequences for slender structures in passive…

Fluid Dynamics · Physics 2013-05-22 J. A. Hanna , C. D. Santangelo

A model of a straight superconducting global cosmic string is examined in a setting wherein the string supports a charge/current pulse described by a travelling wave along the string. Linearized field equations are obtained for fluctuations…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Morris

The problem of derivation of the equations of motion from the field equations is considered. Einstein's field equations have a specific analytical form: They are linear in the second order derivatives and quadratic in the first order…

General Relativity and Quantum Cosmology · Physics 2011-04-21 Shmuel Kaniel , Yakov Itin

A string model with dynamical metric and torsion is proposed. The geometry of the string is described by an effective Lagrangian for the scalar and vector fields. The path integral quantization of the string is considered.

High Energy Physics - Theory · Physics 2015-06-26 M. O. Katanaev , I. V. Volovich

Intrinsic and extrinsic geometric properties of string world sheets in curved space-time background are explored. In our formulation, the only dynamical degrees of freedom of the string are its immersion coordinates. Classical equation of…

High Energy Physics - Theory · Physics 2009-10-30 K. S. Viswanathan , R. Parthasarathy

We apply non-linear WKB analysis to the study of the string equation. Even though the solutions obtained with this method are not exact, they approximate extremely well the true solutions, as we explicitly show using numerical simulations.…

High Energy Physics - Theory · Physics 2010-11-01 F. Fucito , A. Gamba , M. Martellini , O. Ragnisco

A string action is considered in four spacetime dimensions which is obtained by dimensionally reducing the ten dimensional effective action. The equations of motion admit string like solutions. The symmetry properties of the four…

High Energy Physics - Theory · Physics 2009-10-28 Jnanadeva Maharana

We give the general form of the vertex corresponding to the interaction of an arbitrary number of strings. The technique employed relies on the ``comma" representation of String Field Theory where string fields and interactions are…

High Energy Physics - Theory · Physics 2009-10-22 J. Bordes , A. Abdurrahman , F. Anton

The string tension does not have to be put in by hand, it can be dynamically generated, as in the case when we formulate string theory in the modified measure formalism, and other formulations as well. Then string tension appears, but as an…

High Energy Physics - Theory · Physics 2022-01-26 E. I. Guendelman

We introduce a class of rotating magnetically charged string solutions of the Einstein gravity with a nonlinear electrodynamics source in four dimensions. The present solutions has no curvature singularity and no horizons but has a conic…

High Energy Physics - Theory · Physics 2014-11-21 S. H. Hendi

We propose the use of lattice field theory for the study of string field theory at the non-perturbative quantum level. We identify many potential obstacles and examine possible resolutions thereof. We then experiment with our approach in…

High Energy Physics - Theory · Physics 2014-10-22 Francis Bursa , Michael Kroyter

Nonlinear string vibration, in particular the case of nonplanar motion, has been an area of intense study for many years. Numerical simulation methods, essential for the comparison between measured data and theory, have received somewhat…

Analysis of PDEs · Mathematics 2019-05-23 Stefan Bilbao

We study solutions of the supergravity equations with the string-like sources moving with the speed of light. An exact solution is obtained for the gravitational field of a boosted ring string in any dimension greater than three.

High Energy Physics - Theory · Physics 2008-11-26 Valeri P. Frolov , Feng-Li Lin

What are strings made of? The possibility is discussed that strings are purely mathematical objects, made of logical axioms. More precisely, proofs in simple logical calculi are represented by graphs that can be interpreted as the Feynman…

High Energy Physics - Theory · Physics 2016-09-06 Christof Schmidhuber