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- W2019120927 abstract "An exact expression is derived for the $(ensuremath{omega},mathbit{p})=0$ thermal correlator of shear stress in SU(${N}_{c}$) lattice gauge theory. I remove a logarithmic divergence by taking a suitable linear combination of the shear correlator and the correlator of the energy density. The operator product expansion shows that the same linear combination has a finite limit when $ensuremath{omega}ensuremath{rightarrow}ensuremath{infty}$. It follows that the vacuum-subtracted shear spectral function vanishes at large frequencies at least as fast as ${ensuremath{alpha}}_{s}^{2}(ensuremath{omega})$ and obeys a sum rule. The trace anomaly makes a potential contribution to the spectral sum rule which remains to be fully calculated, but which I estimate to be numerically small for $Tensuremath{gtrsim}3{T}_{c}$. By contrast with the bulk channel, the shear channel spectral density is then overall enhanced as compared to the spectral density in vacuo." @default.
- W2019120927 created "2016-06-24" @default.
- W2019120927 creator A5054527590 @default.
- W2019120927 date "2010-09-30" @default.
- W2019120927 modified "2023-10-06" @default.
- W2019120927 title "Lattice gauge theory sum rule for the shear channel" @default.
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- W2019120927 doi "https://doi.org/10.1103/physrevd.82.054504" @default.
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