High Temperature Partition Function of the Rigid String

Abstract

We find that the high temperature limit of the free energy per unit length for the rigid string agrees dimensionally with that of the QCD string (unlike the Nambu-Goto string). The sign, and in fact the phase, do not agree. While this may be a clue to a string theory of QCD, we note that the problem of the fourth derivative action makes it impossible for the rigid string to be a correct description.

7 pages

References in corpus (1)

• Temperature Dependence of String Theory in the Presence of World-Sheet Boundaries

Cited by in corpus (25)

• Quark mass correction to the string potential
• Zero Point Energy of Renormalized Wilson Loops
• QCD-Thermodynamics using 5-dim Gravity
• Is it possible to assign physical meaning to field theory with higher derivatives?
• Magnetic Confinement and Screening Masses
• Effective QCD string beyond Nambu-Goto
• Strings with Negative Stiffness and Hyperfine Structure
• Kappa-symmetric higher derivative terms in brane actions
• Wilson Loops, Winding modes, and Domain Walls in Finite Temperature QCD
• Geometric Aspects of Confining Strings
• Weyl Invariant Gonihedric Strings
• Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flows
• Bosonic string with antisymmetric fields and a non-local Casimir effect
• Classical dynamics of rigid string from Willmore functional
• Partition Functions for the Rigid String and Membrane at Any Temperature
• Two-loop world-sheet effective action
• High Temperature Limit of the N= 2 Matrix Model
• QCD String as an Effective String
• Hadronic string, conformal invariance and chiral symmetry
• QCD-Like Behaviour of High-Temperature Confining Strings
• Confining Strings at High Temperature
• A Confining String Theory Derivable from Yang-Mills Theory due to a Novel Vacuum Condensate
• Nonlocal Particles as Strings
• Higher Order Invariants in Supergravity
• Asymptotic Freedom in a String Model of High Temperature QCD