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

Abstract

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.

arXiv comment9 pages, LaTex. v2: a paragraph about the couplings between the glueballs and the source is added. To appear in Phys.Lett.B

References in corpus (11)

• Branes And The Dynamics Of QCD
• Domain Walls in Strongly Coupled Theories
• Closed Strings as Imaginary D-branes
• On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions
• Domain Walls and Flux Tubes in N=2 SQCD: D-Brane Prototypes
• Touring the Hagedorn Ridge
• The Cosmological Constant and Domain Walls in Orientifold Field Theories and N=1 Gluodynamics
• Inter-Brane Potential and the Decay of a non-BPS-D-brane to Closed Strings
• Sitting on the Domain Walls of N=1 Super Yang-Mills
• Interactions of Domain Walls of SUSY Yang-Mills as D-Branes
• Density of States and Tachyons in Open and Closed String Theory

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