Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-23
JHEP 0507:038,2005
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 4 figures, minor corrections, a few references added, version accepted for publication in JHEP
Scientific paper
10.1088/1126-6708/2005/07/038
In this paper we re-derive the effective Nambu-Goto theory result for the Polyakov loop correlator, starting from the free bosonic string and using a covariant quantization. The boundary conditions are those of an open string attached to two D0-branes at spatial distance R, in a target space with compact euclidean time. The one-loop free energy contains topologically distinct sectors corresponding to multiple covers of the cylinder in target space bordered by the Polyakov loops. The sector that winds once reproduces exactly the Nambu-Goto partition function. In our approach, the world-sheet duality between the open and closed channel is most evident and allows for an explicit interpretation of the free energy in terms of tree level exchange of closed strings between boundary states. Our treatment is fully consistent only in d=26; extension to generic d may be justified for large R, and is supported by Montecarlo data. At shorter scales, consistency and Montecarlo data seem to suggest the necessity of taking into account the Liouville mode of Polyakov's formulation.
Billo' Marco
Caselle Michele
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