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We examine the leading order corrections to the Nambu effective action for the motion of a cosmic string, which appear at fourth order in the ratio of the width to radius of curvature of the string. We determine the numerical coefficients…

High Energy Physics - Phenomenology · Physics 2009-10-30 Malcolm Anderson , Filipe Bonjour , Ruth Gregory , John Stewart

The concept of the quantized space-time of the formless finite fundamental elements is suggested. This space-time can be defined as a set of continual space-time coverings by simply connected non-overlapping regions of any form and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Serge B. Afanas'ev

This paper describes the motion of a classical Nambu-Goto string in three-dimensional anti-de Sitter spacetime in terms of two `celestial' fields on the worldsheet. The fields correspond to retarded and advanced boundary times at which null…

High Energy Physics - Theory · Physics 2021-06-28 David Vegh

We examine a Nambu-Goto string trajectory in the neighbourhood of a cusp and determine the extrinsic curvature invariants. These are demonstrated to be finite, in contradiction with naive expectation. Thus the Nambu action is a valid…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ruth Gregory

Chiral cosmic strings are naturally produced at the end of D-term inflation and they may have interesting cosmological consequences. As was first proved by Carter and Peter, the equations of motion for chiral cosmic strings in Minkowski…

Astrophysics · Physics 2009-10-31 D. A. Steer

We rederive, using an elementary formalism, the general solution to the equations of motion for a superconducting string with a chiral (null) neutral current, earlier obtained by Carter and Peter. We apply this solution to show that the…

Astrophysics · Physics 2009-10-31 J. J. Blanco-Pillado , Ken D. Olum , Alexander Vilenkin

We compute semi-classical corrections to the energy of rotating closed Nambu-Goto strings. We confirm the results obtained by means of the Polchinski-Strominger action. We also show that in this semi-classical approximation, the spectrum of…

High Energy Physics - Theory · Physics 2019-11-20 Marek Kozoň , Jochen Zahn

The motion of a string in curved spacetime is discussed in detail. The basic formalism for string motion in Minkowski spacetime and in curved spacetime is presented. The description applies to cosmic strings as well as to fundamental…

High Energy Physics - Theory · Physics 2007-05-23 H. K. Jassal , A. Mukherjee

The perturbative modes propagating along an infinite string are investigated within the framework of the gauge invariant perturbation formalism on a spacetime containing a self-gravitating straight string with a finite thickness. These…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kouji Nakamura , Hideki Ishihara

We establish explicitely the relation between the algebraic and Nambu-Goto strings when the target space is a four dimensional flat space. We find that the two theories are exactly equivalent only when the algebraic string is restricted to…

High Energy Physics - Theory · Physics 2015-05-20 Winston J. Fairbairn , Karim Noui , Francesco Sardelli

From the Dirac action on the world sheet, an effective action is obtained by integrating over the 4-dimensional fermion fields pulled back to the world sheet. This action consists of the Nambu-Goto area term with right dimensionful constant…

High Energy Physics - Theory · Physics 2007-05-23 R. Parthasarathy , K. S. Viswanathan

In this paper we explicitly evaluate the one-loop effective action in four dimensions for scalar and spinor fields under the influence of a strong, covariantly constant, magnetic field in curved spacetime. In the framework of zeta function…

High Energy Physics - Theory · Physics 2009-10-02 Guglielmo Fucci

We study the dynamics and evolution of Nambu-Goto strings in a warped spacetime, where the warp factor is a function of the internal coordinates giving rise to a `throat' region. The microscopic equations of motion for strings in this…

High Energy Physics - Theory · Physics 2008-11-26 A. Avgoustidis

We show that a Nambu-Goto string has a nontrivial zero length limit which corresponds to a massless particle with extrinsic curvature. The system has the set of six first class constraints, which restrict the phase space variables so that…

High Energy Physics - Theory · Physics 2015-06-22 Matej Pavšič

We derive the effective action for a domain wall with small thickness in curved spacetime and show that, apart from the Nambu term, it includes a contribution proportional to the induced curvature. We then use this action to study the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. Barrabes , B. Boisseau , M. Sakellariadou

In the present paper we investigate classical dynamics of the Nambu-Goto string with the Gauss-Bonnet term in the action and point-like masses at the ends in the context of effective QCD string. The configurations of rigidly rotating string…

High Energy Physics - Theory · Physics 2009-10-30 Leszek Hadasz , Tomasz Rog

We study quantum strings in strong gravitational fields. The relevant small parameter is $g=R_c{\sqrt T_0}$, where $R_c$ is the curvature of the spacetime and $T_0$ is the string tension. Within our systematic expansion we obtain to zeroth…

High Energy Physics - Theory · Physics 2015-06-26 H. J. de Vega , I. Giannakis , A. Nicolaidis

Chiral cosmic strings are produced naturally at the end of inflation in supersymmetric models where the symmetry is broken via a D-term. Consequently in such theories, where both inflation and cosmic strings contribute to the density and…

Astrophysics · Physics 2009-10-31 A. C. Davis , T. W. B. Kibble , M. Pickles , D. A. Steer

We discuss the relation between string quantization based on the Schild path integral and the Nambu-Goto path integral. The equivalence between the two approaches at the classical level is extended to the quantum level by a saddle--point…

High Energy Physics - Theory · Physics 2015-06-26 S. Ansoldi , A. Aurilia , E. Spallucci

We investigate the spacetime of a spinning cosmic string in conformal invariant gravity, where the interior consists of a gauged scalar field. We find exact solutions of the exterior of a stationary spinning cosmic string, where we write…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Reinoud Jan Slagter