The Hagedorn Temperature and Open QCD-String Tachyons in Pure N=1 Super Yang-Mills

Details The Hagedorn Temperature and Open QCD-String Tachyons in Pure N=1 Super Yang-Mills The Hagedorn Temperature and Open QCD-String Tachyons in Pure N=1 Super Yang-Mills

2008-02-28

arxiv.org/abs/0802.4176v2

Phys.Lett.B662:275-278,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTex. v2: a paragraph about the couplings between the glueballs and the source is added. To appear in Phys.Lett.B

Scientific paper

10.1016/j.physletb.2008.03.014

We consider large-N confining gauge theories with a Hagedorn density of states. In such theories the potential between a pair of colour-singlet sources may diverge at a critical distance r_c = 1/ T_H. We consider, in particular, pure N=1 super Yang-Mills theory and argue that when a domain-wall and an anti domain-wall are brought to a distance near r_c the interaction potential is better described by an ``open QCD-string channel''. We interpret the divergence of the potential in terms of a tachyonic mode and relate its mass to the Hagedorn temperature. Finally we relate our result to a theorem of Kutasov and Seiberg and argue that the presence of an open string tachyonic mode in the annulus amplitude implies an exponential density of states in the UV of the closed string channel.

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