Information for 3+1 transverse lattice: glueballs

Scaling Trajectory (1999 results).

• Small basis. Scale determined by fixing 0^++ to Teper's value.
  • ytraj01.out, small masses.
  • ytraj02.out, medium masses.
  • ytraj03.out, large masses.
• BIG basis. Scale determined by fixing 0^++ to Teper's value.
  • straj11.out, smallest masses.
  • straj12.out, intermediate masses.
  • straj13.out, intermediate masses.
  • straj14.out, bigger masses.
  • straj15.out, biggest masses.
• BIG basis. Scale determined by minimizing chi². The second data set in each case is a second try with different starting couplings.
  • ttraj21.out and ttraj31.out, small masses.
  • ttraj22.out and ttraj32.out, masses.
  • ttraj23.out and ttraj33.out; ttraj43.out.
  • ttraj24.out and ttraj34.out, masses.
  • ttraj25.out and ttraj35.out, large masses.
  Using the m^2=0.0019 datum (lowest chi^2), we have Postscript pictures of the spectrum ttraj31.spec1.eps for C=+1 and ttraj31.spec2.eps for C=-1; these are shown together in an xfig plot ttraj31.spec.xf.
• Small basis. Scale determined by fixing 0^++ to Teper's value. Since the lattice spacing vs m^2 is so lousy on the above results, in the following I demand that the lattice spacing obeys the relation a^2 sigma = 1.5 m +1 (as a chi^2 fit criterion with error 0.01).
  • ytraj11.out, small masses.
  • ytraj12.out, medium masses.
  • ytraj13.out, large masses.
  Again, but with the relation a^2 sigma = 3.0 m + 0.5 (as a chi^2 fit criterion with error 0.01).
  • ytraj21.out, small masses.
  • ytraj22.out, medium masses.
  • ytraj23.out, large masses.
  As above, but without the condition that the n=(2,0) eigenvalue not be tachyonic.
  • ytraj31.out, small masses.
  • ytraj32.out, medium masses.
  • ytraj33.out, large masses.
  No condition that the n=(2,0) eigenvalue can't be tachyonic. The relation a^2 sigma = 2.6 m + 0.9 (as a chi^2 fit criterion with error 0.1)
  • ytraj51.out (file lost), small masses.
  • ytraj52.out, medium masses.
  • ytraj53.out, large masses.
  The same, but with different starting couplings.
  • ytraj61.out, small masses.
  • ytraj62.out, medium masses.
  • ytraj63.out, large masses.
  No condition that the n=(2,0) eigenvalue can't be tachyonic. The relation a^2 sigma = 2*m + 1. Use interpolation of ytraj6?.out for starting couplings. ytraj71.out.
• Small basis. Scale determined by fixing 0^++ to Teper's value. No condition that the n=(2,0) eigenvalue can't be tachyonic. Use interpolation of ytraj6?.out for starting couplings. The starting coupling constants are from ytraj3?.out.
  • ytraj41.out, small masses.
  • ytraj42.out, medium masses.
  • ytraj43.out, large masses.
  The starting coupling constants are from ytraj6?.out. ytraj81.out.
• BIG basis. Scale determined by minimizing chi². Use interpolation of ytraj6?.out for starting couplings. No condition that the n=(2,0) eigenvalue can't be tachyonic. ttraj51.out.

  Combining these results with those from "ttraj3*.out" above, we plot:

  • chi^2 ttraj35.chi2.eps,
  • a sqrt(sigma) ttraj35.ass.eps,
  • all couplings ttraj35.scaling.ps,
  along the "scaling trajectory".
• BIG basis. Scale determined by minimizing chi². Use results from ttraj3?.out for starting couplings. No condition that the n=(2,0) eigenvalue can't be tachyonic. The longitudinal potential calculations have been slightly modified.
  • Results: ttraj60.out, this contains the lowest chi^2 rusults from several runs.
  • Rerun larger masses ttraj65.out, lousy results.
  • Rerun larger masses ttraj66.out, also lousy results.
  • Older result for m^2=0.018 ttraj67.out.
  • Spectrum at minimum chi^2, ttraj60.spec1.eps, ttraj60.spec2.eps,
  • chi^2 ttraj60.chi2.eps,
  • a sqrt(sigma) ttraj60.ass.eps,
  • all couplings ttraj60.scaling.ps,
• Small basis. Scale determined by fixing 0^++ to Teper's value. No condition that the n=(2,0) eigenvalue can't be tachyonic. The longitudinal potential calculations have been slightly modified. These results are preparation for scans of the coupling constant space.
  • First try, results: ytraj80.out
  • Second try, results: ytraj81.out

Scans of parameter space

• b scan10.out, second try: scan20.out, third try: scan30.out, fourth try: scan40.out, fifth try: scan50.out, more details on ends: scan60.out
• l_1 scan11.out, second try: scan21.out, third try: scan31.out, fourth try: scan41.out, fifth try: scan51.out sizth try: scan61.out
• l_2 scan12.out, second try: scan22.out, third try: scan32.out, fourth try: scan42.out.
• l_4 scan13.out, second try: scan23.out, third try: scan33.out, fourth try: scan43.out (rerunning on OSU T3E)

Wavefunctions

• 0^{++} struct35.0++.eps
• 2^{++} struct35.2++.eps, showing J_z^{P_1} = 0^+, 1^{+/-}, 2^+, and 2^-.
• 1^{+-} struct35.1+-.eps, showing J_z^{P_1} = 0^-, and 1^{+/-}. The J_z=1 component has two humps.

Winding potential

• red=transverse reflection even
• green=transverse reflection indefinite
• blue=transverse reflection odd

Longitudinal potential

• Couplings from the best fit datum above, ttraj31.out. Results long35.out and plot long35.eps.
• Couplings for intermediate m^2 above, ttraj33.out. Results long37.out and plot long37.eps.
• Couplings for large m^2 above, ttraj34.out. Results long36.out and plot long36.eps.

• Small mass, long31.out, Eigenvalues long31.m.
• Middle mass, long32.out, Eigenvalues long32.m.
• Large mass, long33.out, Eigenvalues long33.m.