Static quark potential and its excitations
in 3-dimensional SU(2) gauge theory

Run C


RUN PARAMETERS

Improved anisotropic action
beta 1.6
input anisotropy a_s / a_t 8.0
input u_t 1.0000
input u_s 0.8550
Individual term couplings:
spatial plaquette 0.6238
temporal plaquette 23.3462
spatial 2x1 rectangle -0.0427
2s x 1t rectangle -1.9960
2t x 1s rectangle 0.0000

lattice size (28 x 56) x 112
scale setting a_s a_t sigma 0.05235(12)
inverse scale 1/(a_s a_t sigma) 19.102(45)
anisotropy renormalization Z_xi 0.9410(54)

Configuration updating parameters:
number of bins 821
number of measurements per bin 10
number of updates between measurements 12
number of Cabibbo-Marinari sweeps per update 1
number of over-relaxation sweeps per update 6
Link smearing parameters:
alpha (staple weight) 0.1200
number of levels 4
Thermal averaging of temporal links:
done analytically

Correlator information:
Maximum time separation measured 12
Spatial-translation increment 3
Temporal-translation increment 3
Number of optimized operators retained 6
Optimized on time slices 1/ 0
Number of operators before fuzzing:
Sg 45
Su 30
Ag 34
Au 40



Remarks concerning effective mass plots:

Results below are obtained by fitting individual, but optimized, correlators to a sum of two exponentials. The fit results are indicated in the effective mass plots by horizontal lines. In the first set of raw results below, the solid circles shown with error bars in the plots are standard effective mass points associated with the optimized correlators. The open symbols correspond to principal effective mass values as defined by Eq. (5.18) in
Luscher and Wolff, Nucl.Phys.B339, 222 (1990)
such that the lowest N effective masses tend to the lowest N physical masses as the temporal separation becomes large. Note that the correlation functions themselves are used in the fitting, not the effective mass points which are included for illustrative purposes and as checks of the fitting results. In the second set of raw gap results below, all points with error bars correspond to principal effective mass points.



RAW RESULTS
(in terms of temporal lattice spacing)


R Sg Sg' Sg'' Sg''' Su Ag Ag' Ag''
(6,0) 0.33374(24) 0.45347(51) 0.5404(11) 0.55018(77) 0.50033(77) 0.45606(52) 0.5491(11) 0.5753(13)
(7,0) 0.38642(29) 0.49265(60) 0.5770(11) 0.5787(11) 0.53736(99) 0.49369(62) 0.5836(11) 0.5954(11)
(8,0) 0.43878(39) 0.53466(75) 0.6138(16) 0.6162(13) 0.5772(11) 0.53471(92) 0.6215(11) 0.6229(16)
(9,0) 0.49020(82) 0.5800(11) 0.6550(13) 0.6542(18) 0.6184(14) 0.5787(11) 0.6599(14) 0.6616(17)
(10,0) 0.54352(87) 0.6258(17) 0.6961(19) 0.6969(24) 0.6628(20) 0.6258(11) 0.7012(19) 0.7061(25)



R Au Au' Au''
(6,0) 0.39989(35) 0.50203(81) 0.51240(60)
(7,0) 0.44363(42) 0.53758(93) 0.54358(76)
(8,0) 0.48907(56) 0.5754(11) 0.5805(10)
(9,0) 0.53602(98) 0.62033(93) 0.6187(19)
(10,0) 0.5843(16) 0.6624(14) 0.6619(24)



RAW GAP (above Sg) RESULTS
(in terms of temporal lattice spacing)


R Sg' Sg'' Sg''' Su Ag Ag' Ag'' Au
(6,0) 0.11965(52) 0.2065(11) 0.21643(79) 0.16648(77) 0.12223(55) 0.2152(11) 0.2415(13) 0.06611(40)
(7,0) 0.10625(65) 0.1905(11) 0.1922(12) 0.15099(91) 0.10731(61) 0.1973(10) 0.2089(10) 0.05725(50)
(8,0) 0.09583(81) 0.1749(18) 0.1774(12) 0.1383(11) 0.09587(90) 0.1827(10) 0.1839(14) 0.05026(64)
(9,0) 0.0897(14) 0.1645(14) 0.1638(21) 0.1279(17) 0.0880(12) 0.1691(15) 0.1706(18) 0.0455(11)
(10,0) 0.0821(19) 0.1527(18) 0.1530(26) 0.1194(19) 0.0820(13) 0.1573(21) 0.1625(24) 0.0407(16)



R Au' Au''
(6,0) 0.16826(84) 0.17849(62)
(7,0) 0.15099(84) 0.15709(81)
(8,0) 0.1365(12) 0.1418(10)
(9,0) 0.1299(12) 0.1282(19)
(10,0) 0.1189(14) 0.1181(25)



RAW RESULTS PLOTS

Energies plotted against R
Energy gaps above Sg plotted against R
Energy gaps above Sg plotted against 1/R
Energy gaps above Sg compared to N Pi/R



TEXTUAL DATA FILES

Energies
Energy gaps above Sg