3+1 Transverse lattice: older data using old form of
tau-interactions.
This page contains data computed in 1998. In this case, we
used a form of the tau-interactions that is inconsistant with
the heavy quark limit.
Scaling Trajectory.
In this case, I only use the c² for the lowest state in each
charge conjugation sector. That is, the error in the chi² fitting
criteria is substantially smaller for the lowest state in each sector.
In the newer results the parity doublets used in the chi² fit,
along with the assumed errors, is now shown.
All of the couplings are fit for a given mass.
- A small basis, scale determined by fixing 0^++ to Teper's value.
- ttraj11.out, all masses.
In this case we use the J_z^{P_1 C} = 1^{± +} and
2^{± +} parity doublet.
- ttraj00.out, all masses.
Newer run with different parity doublet criteria.
Postscript plots
of C=+1 and
C=-1 spectra in
units of the string tension for the m²=0.051777 datum.
- A small basis, scale determined by minimizing chi².
- ctraj11.out, all masses.
In this case we use the J_z^{P_1 C} = 1^{± +} and
2^{± +} parity doublet.
- ctraj00.out, all masses, only partially completed.
This is a newer run with different parity doublet criteria.
- ctraj01.out, all masses.
In this case, we demand that the n=(2,0) winding mode
is not tachyonic. The starting points are from above.
- A BIG basis, scale determined by fitting to lattice value.
In this case, the parity doublet fitting criteria are shown.
The following are some newer runs after some debugging:
- tbig10.out, smaller masses.
- tbig11.out, intermediate masses (not finished).
- tbig21.out, intermediate masses.
This is a newer run, the results should be the same as above.
- tbig16.out, larger masses.
- tbig15.out, m²=0.032492. This is redundant,
but the chi² is a bit smaller.
The following run relaxes the criteria for rotational
invariance of the heavy source potential and the winding
mode potential.
The following run uses the fit criteria used below.
- A BIG basis, scale determined by minimizing chi².
- cbig05.out, m²=0.032492.
- cbig15.out, m²=0.032492.
In this case, we demand that the n=(2,0) winding mode
is not tachyonic. The starting points are from above.
Postscript plots
of C=+1 and
C=-1 spectra in
units of the string tension; also shown is the
lattice 0^{++} in red.
- cbig06.out, m²=0.051777.
The following are some newer runs after some debugging:
- cbig10.out, smaller masses.
- cbig11.out, intermediate masses.
As a double-check, I rerun the chi² minimization with
using these results as the starting point:
cbig21.out, the results for intermediate masses
are not pretty.
- cbig12.out, larger masses.
Perhaps we have not used the right error bars. The
following uses smaller errors for for the
longitudinal string tension, and larger errors for the roundness
of the longitudinal potential and much larger errors for the
roundness of the winding potential.
Here, we just make the error bars for the roundness of
the heavy source potential and the winding potential larger:
- cbig41.out, intermediate masses.
Postscript plots
of C=+1 and
C=-1 spectra in
units of the string tension for the m²=0.051777 datum.
Another try with different starting couplings:
cbig43.out , intermediate masses
and do it again, cbig44.out.
- cbig40.out, smaller masses.
- cbig42.out, larger masses.
String tension measurements.
The couplings are taken from the m²=0.03249 datum,
BIG basis, with
the scale determined by fitting to lattice value.
- Longitudinal Potentials.
- Winding Potentials.
Here we choose the couplings from the best fit above.
- Longitudinal Potentials.
- Winding Potentials.
Wavefunctions for the lowest states
Here we choose the couplings from the best fit above.
There are results for 6 particle truncation
and 8 particle truncation. The notation for
the helicities is discussed in the paper
hep-th/9806231
E-mail:
bvds@pitt.edu