Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-08-19
JHEP 1010:010,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
27 pages. v2: minor improvements, published version
Scientific paper
10.1007/JHEP10(2010)010
Inspired by recent lattice measurements, we determine the short-distance (a << r << 1/pi T) as well as large-frequency (1/a >> omega >> pi T) asymptotics of scalar (trace anomaly) and pseudoscalar (topological charge density) correlators at 2-loop order in hot Yang-Mills theory. The results are expressed in the form of an Operator Product Expansion. We confirm and refine the determination of a number of Wilson coefficients; however some discrepancies with recent literature are detected as well, and employing the correct values might help, on the qualitative level, to understand some of the features observed in the lattice measurements. On the other hand, the Wilson coefficients show slow convergence and it appears uncertain whether this approach can lead to quantitative comparisons with lattice data. Nevertheless, as we outline, our general results might serve as theoretical starting points for a number of perhaps phenomenologically more successful lines of investigation.
Laine Mikko
Vepsalainen M.
Vuorinen Aleksi
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