3,012 research outputs found
Lattice Gauge Theory Sum Rule for the Shear Channel
An exact expression is derived for the thermal correlator of
shear stress in SU() 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 . It
follows that the vacuum-subtracted shear spectral function vanishes at large
frequencies at least as fast as 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 . By contrast with the bulk channel, the shear channel
spectral density is then overall enhanced as compared to the spectral density
in vacuo.Comment: 11 pages, no figure
Distribution of averages in a correlated Gaussian medium as a tool for the estimation of the cluster distribution on size
Calculation of the distribution of the average value of a Gaussian random
field in a finite domain is carried out for different cases. The results of the
calculation demonstrate a strong dependence of the width of the distribution on
the spatial correlations of the field. Comparison with the simulation results
for the distribution of the size of the cluster indicates that the distribution
of an average field could serve as a useful tool for the estimation of the
asymptotic behavior of the distribution of the size of the clusters for "deep"
clusters where value of the field on each site is much greater than the rms
disorder.Comment: 15 pages, 6 figures, RevTe
Do Present LEP Data Provide Evidence for Electroweak Corrections?
The Born approximation, based on instead of
, reproduces all electroweak precision measurements within their
accuracy. The low upper limits for the genuinely electroweak
corrections constitute one of the major achievements of LEP. The astonishing
smallness of these corrections results from the cancellation of a large
positive contribution from the heavy top quark and large negative contributions
from all other virtual particles. It is precisely the non-observation of
electroweak radiative corrections that places stringent upper and lower limits
on the top mass.Comment: 12 pages, preprint CERN-TH.6943/9
- …