Retardation effects in the rotating string model

Abstract Classical rotating closed string are folded strings. At the folding points the scalar curvature associated with the induced metric diverges. As a consequence one cannot properly quantize the fluctuations around the classical solution since there is no complete set of normalizable eigenmodes. Furthermore in the non-critical effective string action of Polchinski and Strominger, there is a divergence associated with the folds. We overcome this obstacle by putting a massive particle at each folding point which can be used as a regulator. Using this method we compute the spectrum of quantum fluctuations around the rotating string and the intercept of the leading Regge trajectory. The results we find are that the intercepts are a = 1 and a = 2 for the open and closed string respectively, independent of the target space dimension. We argue that in generic theories with an effective string description, one can expect corrections from finite masses associated with either the endpoints of an open string or the folding points on a closed string. We compute explicitly the corrections in the presence of these masses.

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On superdense superstring gases: A heretic string model approach

Nuclear Physics B ◽

10.1016/0550-3213(86)90158-6 ◽

1986 ◽

Vol 268 (2) ◽

pp. 349-361 ◽

Cited By ~ 77

Author(s):

Per Salomonson ◽

Bo-Sture Skagerstam

Keyword(s):

String Model ◽

Model Approach

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Multiple hadron production in the quark-gluon string model

Nuclear Physics B - Proceedings Supplements ◽

10.1016/s0920-5632(96)00855-9 ◽

1997 ◽

Vol 52 (3) ◽

pp. 116-119 ◽

Cited By ~ 3

Author(s):

Yu. M. Shabelski

Keyword(s):

String Model ◽

Hadron Production ◽

Quark Gluon String Model

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REDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KdV HIERARCHIES AND THE TWO-MATRIX MODEL

International Journal of Modern Physics A ◽

10.1142/s0217751x95001212 ◽

1995 ◽

Vol 10 (17) ◽

pp. 2537-2577 ◽

Cited By ~ 12

Author(s):

H. ARATYN ◽

E. NISSIMOV ◽

S. PACHEVA ◽

A.H. ZIMERMAN

Keyword(s):

Poisson Bracket ◽

Hamiltonian Structure ◽

Toda Lattice ◽

Free Field ◽

String Model ◽

Matrix Formulation ◽

Hamiltonian Action ◽

Kdv Hierarchy ◽

Associated Matrix ◽

Toda Lattice Hierarchy

Toda lattice hierarchy and the associated matrix formulation of the 2M-boson KP hierarchies provide a framework for the Drinfeld-Sokolov reduction scheme realized through Hamiltonian action within the second KP Poisson bracket. By working with free currents, which Abelianize the second KP Hamiltonian structure, we are able to obtain a unified formalism for the reduced SL (M+1, M−k) KdV hierarchies interpolating between the ordinary KP and KdV hierarchies. The corresponding Lax operators are given as superdeterminants of graded SL (M+1, M−k) matrices in the diagonal gauge and we describe their bracket structure and field content. In particular, we provide explicit free field representations of the associated W(M, M−k) Poisson bracket algebras generalizing the familiar nonlinear WM+1 algebra. Discrete Bäcklund transformations for SL (M+1, M−k) KdV are generated naturally from lattice translations in the underlying Toda-like hierarchy. As an application we demonstrate the equivalence of the two-matrix string model to the SL (M+1, 1) KdV hierarchy.

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