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Corrections to Nambu-Goto energy levels from the effective string action

Corrections to Nambu-Goto energy levels from the effective string action,10.1007/JHEP12(2010)058,Journal of High Energy Physics,Ofer Aharony,Nizan Kli

Corrections to Nambu-Goto energy levels from the effective string action   (Citations: 8)
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The effective action on long strings, such as confining strings in pure Yang-Mills theories, is well-approximated by the Nambu-Goto action, but this action cannot be exact. The leading possible corrections to this action (in a long string expansion in the static gauge), allowed by Lorentz invariance, were recently identified, both for closed strings and for open strings. In this paper we compute explicitly in a Hamiltonian formalism the leading corrections to the lowest-lying Nambu-Goto energy levels in both cases, and verify that they are consistent with the previously computed effective string partition functions. For open strings of length R the leading correction is of order 1/R 4, for excited closed strings of length R in D> 3 space-time dimensions it is of order 1/R 5, while for the ground state of the closed string in any dimension it is of order 1/R 7. We attempt to match our closed string corrections to lattice results, but the latter are still mostly outside the range of convergence of the 1/R expansion that we use.
Journal: Journal of High Energy Physics - J HIGH ENERGY PHYS , vol. 2010, no. 12, pp. 1-18, 2010
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