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Published July 2001 | Published
Journal Article Open

The Hagedorn transition in noncommutative open string theory

Abstract

The Hagedorn transition in noncommutative open string theory (NCOS) is relatively simple because gravity decouples. For NCOS theories in no more than five space–time dimensions, the Hagedorn transition is second order, and the high temperature phase involves long, nearly straight fundamental strings separating from the D-brane on which the NCOS theory is defined. Above five spacetime dimensions interaction effects become important below the Hagedorn temperature. Although this complicates studies of the transition, we believe that the high temperature phase again involves long strings liberated from the bound state.

Additional Information

©2001 American Institute of Physics. (Received 2 January 2001; accepted 13 February 2001) We are grateful to J. Maldacena, E. Rabinovici, and S. Shenker for useful discussions. The work of S.S.G. was supported in part by Department of Energy (DOE) Grant No. DE-FG02-91ER40671, and by a DOE Outstanding Junior Investigator award. The work of S.G. was supported in part by the Caltech Discovery Fund, Grant No. RFBR No. 98-02-16575 and Russian President's Grant No. No 96-15-96939. The work of I.R.K. was supported in part by the National Science Foundation (NSF) Grant No. PHY-9802484 and by the James S. McDonnell Foundation Grant No. 91-48. M.R. was supported in part by NSF Grant No. PHY-980248 and by the Caltech Discovery Fund. S.S.G. and I.R.K. thank the Aspen Center for Physics for hospitality while this work was in progress.

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