On the effective theory of long open strings

Details On the effective theory of long open strings On the effective theory of long open strings

2010-08-16

arxiv.org/abs/1008.2636v2

JHEP 1101:065,2011

Physics

High Energy Physics

High Energy Physics - Theory

51 pages, JHEP format. v2: added references

Scientific paper

10.1007/JHEP01(2011)065

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.

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