6533b832fe1ef96bd129ad26
RESEARCH PRODUCT
Lattice Gauge Theory Sum Rule for the Shear Channel
Harvey B. Meyersubject
PhysicsNuclear and High Energy PhysicsNuclear TheoryLattice field theoryHigh Energy Physics - Lattice (hep-lat)Spectral densityFOS: Physical sciencesOmega baryonOmegaNuclear Theory (nucl-th)High Energy Physics - LatticeLattice gauge theoryQuantum mechanicsOperator product expansionSum rule in quantum mechanicsSeries expansiondescription
An exact expression is derived for the $(\omega,p)=0$ 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 $\omega\to\infty$. It follows that the vacuum-subtracted shear spectral function vanishes at large frequencies at least as fast as $\alpha_s^2(\omega)$ 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 $T\gtrsim 3T_c$. By contrast with the bulk channel, the shear channel spectral density is then overall enhanced as compared to the spectral density in vacuo.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-05-15 |