title: Hadronic density of states from string theory.
abstract: We present an exact calculation of the finite temperature partition function for the hadronic states corresponding to a Penrose-Güven limit of the Maldacena-Nùñez embedding of the N=1 super Yang-Mills (SYM) into string theory. It is established that the theory exhibits a Hagedorn density of states. We propose a semiclassical string approximation to the finite temperature partition function for confining gauge theories admitting a supergravity dual, by performing an expansion around classical solutions characterized by temporal windings. This semiclassical approximation reveals a hadronic energy density of states of a Hagedorn type, with the coefficient determined by the gauge theory string tension as expected for confining theories. We argue that our proposal captures primarily information about states of pure N=1 SYM theory, given that this semiclassical approximation does not entail a projection onto states of large U(1) charge.
authors.affiliation: Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, Michigan 48109-1120A, USA. lpandoz@umich.edu
authors.forename: Leopoldo A
authors.initials: LA
authors.lastname: Pando Zayas
authors.forename: Diana
authors.initials: D
authors.lastname: Vaman