Notes
Relating lattice and physical units etc.,
(ps)
Preliminary version of slides for Budapest and Wien
(pdf, updated July 6th), newer version
(pdf, updated July 27th) and still
(pdf, updated July 29th)
Shorter version, to show at QM:
(pdf, updated July 29th)
Draft of short paper
(ps, updated July 27th)
(ps, updated August 16th)
(tex source, updated August 16th)
(ps, updated August 18th)
(tex source, updated August 18th)
(ps, updated August 19th)
(tex source, updated August 19th)
Miscellaneous plots
- [April 29th] Reproducing the analytical result for (practically) zero field
(ps)
- Amplitude squared as function of rapidity
for different values of g^2\mu and ending times.
- Qbar momentum q=(5,5) on a 150^2 transverse lattice
(ps)
- Qbar momentum q=(10,10) on a 150^2 transverse lattice
(ps)
- Testing a few different lattice sizes (150 and 200) and spacings
(0.2a and 0.4a) in the longitudinal direction, all with
g^2mu=2GeV and t = 1fm. The overall normalization (scale on y axis)
is compatible between these plots but not with the previous ones (a factor of
transverse lattice size difference).
- Qbar momentum q=(0,2) on a 180^2 transverse lattice
(ps)
- Qbar momentum q=(0,5) on a 180^2 transverse lattice
(ps)
- Qbar momentum q=(10,0) on a 180^2 transverse lattice
(ps)
- Qbar momentum q=(10,10) on a 180^2 transverse lattice
(ps)
- Qbar momentum q=(20,20) on a 180^2 transverse lattice
(ps)
- Qbar momentum q=(30,30) on a 180^2 transverse lattice
(ps)
- Coulomb gauge fixing for two different momentum modes
(ps)
- Behaviour of integral over y as a function of antiquark
tranverse momentum q_T (actually qhat)
(ps)
The x-axis is qhat in units of 1/a, the mass is 0.1/a and
g^2mu=(1/3)1/a.
The tail goes like qhat^{-2} or even slower, but the singularity
at zero momentum seems integrable.
- [May 11th] Extrapolation to infinite volume limit: the dependence
on the size (physical) size of the system in the z-direction
seems to be much more important than the value of dz. Two extrapolations:
(ps)
(ps)
- [May 12th] Spectra of antiquarks (integrated over rapidity difference)
- Different masses and saturation scales (ps)
- Different projection times (ps)
- Time dependence of total number of pairs for g^2mu = 1GeV and g^2mu = 2 GeV
(not yet exrapolated to the continuum limit): (ps)
- [May 17th] Number of pairs as a function of mass
(ps) (corrected from the first version).
- |May 18th] Time dependence with larger quark masses included
(ps)
- Recreational pictures: a 2dimensional representation of the quark spectrum
for a fixed antiquark momentum, integrated over the rapidity difference
Logarithmic scale; red is big amplitude, blue is small, zero transverse
momentum of the quark is at the center. This shows the pairs being formed
approximately back-to-back with some spread in momentum (from the intrinsic pT
of the gluons). Only the doubler-free center of the momentum space is shown.
| Small mass, q=(0,2). At the edge we have large momentum modes giving us trouble.
| Small mass, q=(20,20):
|
| Big mass, q=(0,2):
| Big mass, q=(20,20):
|
- [May 19th] Spectrum as function of pair invariant mass
for different (fixed) antiquark momenta (ps). Taking the sum of
this data with appropriate weights for the antiquark transverse momenta
will give the invariant mass spectrum.
- [May 20th] Spectrum as function of pair invariant mass integrated over
the antiquark momentum (ps).
- [July 6th] A few plots redrawn more carefully for talks in Budapest/Wien
pdf. The same plots should do for the paper; only the titles
have to be removed and the information included in the caption.
plots from the slides.