Intermediate distance correlators in hot Yang-Mills theory

Details Intermediate distance correlators in hot Yang-Mills theory Intermediate distance correlators in hot Yang-Mills theory

2010-11-19

arxiv.org/abs/1011.4439v1

JHEP 1012:078,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages

Scientific paper

10.1007/JHEP12(2010)078

Lattice measurements of spatial correlation functions of the operators FF and FF-dual in thermal SU(3) gauge theory have revealed a clear difference between the two channels at "intermediate" distances, x ~ 1/(pi T). This is at odds with the AdS/CFT limit which predicts the results to coincide. On the other hand, an OPE analysis at short distances (x << 1/(pi T)) as well as effective theory methods at long distances (x >> 1/(pi T)) suggest differences. Here we study the situation at intermediate distances by determining the time-averaged spatial correlators through a 2-loop computation. We do find unequal results, however the numerical disparity is small. Apart from theoretical issues, a future comparison of our results with time-averaged lattice measurements might also be of phenomenological interest in that understanding the convergence of the weak-coupling series at intermediate distances may bear on studies of the thermal broadening of heavy quarkonium resonances.

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