String Representation of Quantum Loops

Details String Representation of Quantum Loops String Representation of Quantum Loops

1998-09-25

arxiv.org/abs/hep-th/9809182v1

Class.Quant.Grav. 16 (1999) 1833-1841

Physics

High Energy Physics

High Energy Physics - Theory

16 Pages, RevTeX, no figures

Scientific paper

10.1088/0264-9381/16/6/316

We recover a general representation for the quantum state of a relativistic closed line (loop) in terms of string degrees of freedom.The general form of the loop functional splits into the product of the Eguchi functional, encoding the holographic quantum dynamics, times the Polyakov path integral, taking into account the full Bulk dynamics, times a loop effective action, which is needed to renormalize boundary ultraviolet divergences. The Polyakov string action is derived as an effective actionfrom a phase space,covariant,Schild action, by functionally integrating out the world-sheet coordinates.The area coordinates description of the boundary quantum dynamics, is shown to be induced by the ``zero mode'' of the bulk quantum fluctuations. Finally, we briefly comment about a ``unified, fully covariant'' description of points, loops and strings in terms of Matrix Coordinates.

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