1.2
1
0.8- -
0.6 ---- ----
cooo
0.4-
0.2-
0
0 100 200 300 400 500 600 700 800 900 1000
0.02
0.01 -
A 0-
-0.01 -
-0.02
0 100 200 300 400 500 600 700 800 900 1000
Figure 4-8. Monte Carlo vs. Exact results for M 2. The upper figure shows two curves,
the upper one corresponding to (Pj) and the lower one to (PJ). The circles
are results from the Monte Carlo simulation but the solid lines are from
(4-30). The lower figure also has two curves corresponding to (P') and (Pj)
but shows the difference between the exact results and the simulation. Clearly
the errors are quite correlated in j. The data is obtained with g = 0.3, p = 1
and To = 6. The simulation had a total of 1.5 million sweeps, discarding the
initial 150k sweeps for relaxation. The fixed spin was at (i,j) = (1,500).
of the string state fixed. If the spectrum becomes dense .r v -ii-:-2. -'1 that as the cutoff
is removed the spectrum would become continuous implying a third dimension of the
string theory. These results as such are not of great interest to us in terms of the current
work. Nonetheless, in testing the Lightcone World Sheet formalism against their work, we
address, in p .--.ii- a number of issues which are put forth in the article.