On the effective theory of long open strings

Abstract

We study the general low-energy effective action on long open strings, such as confining strings in pure gauge theories. Using Lorentz invariance, we find that for a string of length R, the leading deviation from the Nambu-Goto energy levels generically occurs at order 1/R^4 (including a correction to the ground state energy), as opposed to 1/R^5 for excited closed strings in four dimensions, and 1/R^7 for closed strings in three dimensions. This is true both for Dirichlet and for Neumann boundary conditions for the transverse directions, though the worldsheet boundary actions are different. The Dirichlet case is relevant (for instance) for the force between external quarks in a confining gauge theory, and the Neumann case for a string stretched between domain walls. In the specific case of confining gauge theories with a weakly curved holographic dual, we compute the coefficient of the leading correction when the open string ends on two D-branes, and find a non-vanishing result.

51 pages, JHEP format. v2: added references

References in corpus (9)

• Corrections to Nambu-Goto energy levels from the effective string action
• The closed string spectrum of SU(N) gauge theories in 2+1 dimensions
• Poincare invariance in effective string theories
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• String-like behaviour of 4d SU(3) Yang-Mills flux tubes
• The partition function of interfaces from the Nambu-Goto effective string theory
• Continuum limit of string formation in 3-d SU(2) LGT
• The confining string beyond the free-string approximation in the gauge dual of percolation
• Universal behaviour of interfaces in 2d and dimensional reduction of Nambu-Goto strings

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