The L^-2 term of the large-size expansion of triangular Wilson loops is derived in effective string theory, yielding f_2(C) = (D-2)/(192 σ S) ∏(π/θ_k - 1) [1 - (D-2)/24 ∏(π/θ_k - 1)].
String theory as a Lilliputian world
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abstract
Lattice regularizations of the bosonic string allow no tachyons. This has often been viewed as the reason why these theories have never managed to make any contact to standard continuum string theories when the dimension of spacetime is larger than two. We study the continuum string theory in large spacetime dimensions where simple mean field theory is reliable. By keeping carefully the cutoff we show that precisely the existence of a tachyon makes it possible to take a scaling limit which reproduces the lattice-string results. We compare this scaling limit with another scaling limit which reproduces standard continuum-string results. If the people working with lattice regularizations of string theories are akin to Gulliver they will view the standard string-world as a Lilliputian world no larger than a few lattice spacings.
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Large-size expansion for triangular Wilson loops in confining gauge theories
The L^-2 term of the large-size expansion of triangular Wilson loops is derived in effective string theory, yielding f_2(C) = (D-2)/(192 σ S) ∏(π/θ_k - 1) [1 - (D-2)/24 ∏(π/θ_k - 1)].