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Phonons are usually introduced by choosing a local displacement field. This paper keeps that local description, but identifies the global geometric object represented by it. The aim is not to change the local acoustic equations, but to…

Mathematical Physics · Physics 2026-05-12 Aleksey Prots

To study noncommutativity properties of the open string with constant B-field we construct a mechanical action which reproduces classical dynamics of the string sector under consideration. It allows one to apply the Dirac quantization…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Deriglazov , C. Neves , W. Oliveira , E. M. C. Abreu , C. Wotzasek , C. Filgueiras

The most general Lagrangian for dynamical torsion theory quadratic in curvature and torsion is considered. We impose two simple and physically reasonable constraints on the solutions of the equations of motion: (i) there must be solutions…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. O. Katanaev

The jet formalism for Classical Field theories is extended to the setting of Lie algebroids. We define the analog of the concept of jet of a section of a bundle and we study some of the geometric structures of the jet manifold. When a…

Differential Geometry · Mathematics 2007-05-23 Eduardo Martinez

We describe time-dependent tunneling of massless particles in 1+1 dimensional string field theory. Polchinski's description of the classical solutions in terms of the Fermi sea is used to identify the leading instanton contribution…

High Energy Physics - Theory · Physics 2009-10-22 Julian Lee , Paul F. Mende

The solution term by term to the scattering of all consistent string theories is given. The moduli space of M-theory is derived and connects the various string theories. The solutions contain both the perturbative and non-perturbative…

General Physics · Physics 2007-05-23 Gordon Chalmers

The covariant canonical method of quantization based on the De Donder-Weyl covariant canonical formalism is used to formulate a world-sheet covariant quantization of bosonic strings. To provide the consistency with the standard…

High Energy Physics - Theory · Physics 2009-01-07 H. Nikolic

We discuss some geometrical aspects of the semiclassical quantization of string solutions in Type IIB Green-Schwarz action on $\ads_5\times \sphere^5$. We concentrate on quadratic fluctuations around classical configurations, expressing the…

High Energy Physics - Theory · Physics 2015-10-16 V. Forini , V. Giangreco M. Puletti , L. Griguolo , D. Seminara , E. Vescovi

The purely affine Lagrangian for linear electrodynamics, that has the form of the Maxwell Lagrangian in which the metric tensor is replaced by the symmetrized Ricci tensor and the electromagnetic field tensor by the tensor of homothetic…

General Relativity and Quantum Cosmology · Physics 2009-04-08 Nikodem J. Poplawski

We investigate string solutions to the classical equations of motion ("classical QCD strings") for a dual Ginzburg-Landau model corresponding to SU(3) gluodynamics in an abelian projection. For a certain relation between couplings of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. N. Chernodub

Absolute space is eliminated from the body of mechanics by gauging translations and rotations in the Lagrangian of a classical system. The procedure implies the addition of compensating terms to the kinetic energy, in such a way that the…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Rafael Ferraro

We study a string theory which is exclusively based on extrinsic curvature action. It is a tensionless string theory because the action reduces to perimeter for the flat Wilson loop. We are able to solve and quantize this high-derivative…

High Energy Physics - Theory · Physics 2007-05-23 G. Savvidy

We develop in a consistent manner the Ostrogradski-Hamilton framework for gonihedric string theory. The local action describing this model, being invariant under reparametrizations, depends on the modulus of the mean extrinsic curvature of…

High Energy Physics - Theory · Physics 2021-03-09 Alberto Molgado , Efrain Rojas

Multidimensionality of our Universe is one of the most intriguing assumption in modern physics. It follows naturally from theories unifying different fundamental interactions with gravity, e.g. M/string theory. The idea has received a great…

General Relativity and Quantum Cosmology · Physics 2011-12-01 Tamerlan Saidov

Metric-affine theories of gravity provide an interesting alternative to General Relativity: in such an approach, the metric and the affine (not necessarily symmetric) connection are independent quantities. Furthermore, the action should…

General Relativity and Quantum Cosmology · Physics 2012-11-08 Vincenzo Vitagliano , Thomas P. Sotiriou , Stefano Liberati

It is proved that the class of stable interatomic potentials admits an exact representation in the form of a finite or infinite superposition of Yukawa potentials. An auxiliary scalar field is introduced to describe the dynamics of a system…

Statistical Mechanics · Physics 2022-02-01 A. Yu. Zakharov , V. V. Zubkov

In earlier papers on the loop variable approach to gauge invariant interactions in string theory, a ``wave functional'' with some specific properties was invoked. It had the purpose of converting the generalized momenta to space time…

High Energy Physics - Theory · Physics 2016-09-06 B. Sathiapalan

We discuss the construction of boundary contributions to free string field theory actions in the context of the bosonic string. We show that it is generally possible to obtain a well-defined variational principle by adding a simple boundary…

High Energy Physics - Theory · Physics 2025-02-27 Carlo Maccaferri , Riccardo Poletti , Alberto Ruffino , Jakub Vošmera

We consider a class of conformal models describing closed strings in axially symmetric stationary magnetic flux tube backgrounds. These models are closed string analogs of the Landau model of a particle in a magnetic field or the model of…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

In the paper we show that the general relativity action (and Lagrangian) in recent Einstein-Palatini formulation is equivalent to the action (and Langrangian) of a gauge field. We begin with a bit of information of the Einstein-Palatini…

General Relativity and Quantum Cosmology · Physics 2019-01-29 Marta Dudek , Janusz Garecki