Effective String Theory of Vortices and Regge Trajectories

Abstract

Starting from a field theory containing classical vortex solutions, we obtain an effective string theory of these vortices as a path integral over the two transverse degrees of freedom of the string. We carry out a semiclassical expansion of this effective theory, and use it to obtain corrections to Regge trajectories due to string fluctuations.

arXiv comment27 pages, revtex, 3 figures, corrected an error with the cutoff in appendix E (was previously D), added more discussion of Fig. 3, moved some material in section 9 to a new appendix

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• Effective String Theory Simplified
• Effective string theory and the long-range relativistic corrections to the quark-antiquark potential
• Delta-function Interactions for the Bosonic and Spinning Strings and the Generation of Abelian Gauge Theory
• QED as the tensionless limit of the spinning string with contact interaction
• The semi-classical energy of open Nambu-Goto strings
• A Confining String Theory Derivable from Yang-Mills Theory due to a Novel Vacuum Condensate
• Lagrangian alternative to QCD string
• Understanding Confinement From Deconfinement
• A New Constraint on Effective Field Theories of the QCD Flux Tube
• The semi-classical energy of closed Nambu-Goto strings