SU(3) Pure Gauge Theory

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Temperature Scale for the Runs

Nt	T/Tc	β(LM)	β(E)	β(MS)
8	0.9	5.992	5.990	5.991
8	1.	6.063	6.063	6.063
8	1.5	6.353	6.360	6.359
8	2.	6.572	6.583	6.580
8	3.	6.890	6.906	6.903
10	0.9	6.144	6.146	6.146
10	1.	6.219	6.223	6.222
10	1.5	6.522	6.532	6.530
10	2.	6.746	6.759	6.757
10	3.	7.069	7.088	7.084
12	0.9	6.275	6.280	6.279
12	1.	6.353	6.360	6.359
12	1.5	6.663	6.676	6.673
12	2.	6.890	6.906	6.903
12	3.	7.227	7.250	7.246
14	0.9	6.390	6.397	6.396
14	1.	6.470	6.479	6.477
14	1.5	6.784	6.798	6.796
14	2.	7.013	7.031	7.027
14	3.	7.390	7.420	7.415
16	0.9	6.491	6.500	6.498
16	1.	6.572	6.583	6.580
16	1.5	6.890	6.906	6.903
16	2.	7.123	7.142	7.139
16	3.	7.583	7.628	7.619

Tests on Data

Tests were performed at β=6.065 on 16⁴ lattice. Plaquette data was generated using versions v1.2 and v1.3 of SU(3) pure gauge program.
Actual plaquette value at(T=0K) p₀=0.600599 ± 3x10^-6
plaquette value (v1.2) p_1.2= 0.600583 ± 8x10^-6
plaquette value (v1.3) p_1.3= 0.60059 ± 1x10^-5

student t test between
p₀ and p_1.2 : t=1.938 P(t>1.938)=0.0525
p₀ and p_1.3 : t=0.6331 P(t>0.6331)=0.5266
p_1.2 and p_1.3: t=0.7676 P(t>0.7676)=0.4427

Chi square test between plaquette data from v1.2 and v1.3 gives

no. of bins	χ2	P(χ2 > χ2)
26	20.66	0.9999
25	8.983	0.9999
24	4.854	0.9993
23	2.650	0.9809