Static quark potential and its excitations
in 4-dimensional SU(3) gauge theory

Run C


RUN PARAMETERS

Improved anisotropic action
beta 2.4
input anisotropy a_s / a_t 5.0
input u_t 1.0000
input u_s 0.7997
Individual term couplings:
spatial plaquette 1.9560
temporal plaquette 25.0183
spatial 2x1 rectangle -0.1529
2s x 1t rectangle -2.4450
2t x 1s rectangle 0.0000

lattice size (14 x 14 x 14) x 56
scale setting a_s a_t sigma 0.05779(18)
inverse scale 1/(a_s a_t sigma) 17.305(55)
anisotropy renormalization Z_xi 0.9533(67)

Configuration updating parameters:
number of bins 300
number of measurements per bin 4
number of updates between measurements 15
number of Cabibbo-Marinari sweeps per update 1
number of over-relaxation sweeps (all links) per update 3
number of over-relaxation sweeps (spatial links) per update 0
Link smearing parameters:
alpha (staple weight) 0.2500
number of levels 8
Thermal averaging of temporal links:
number of Cabibbo-Marinari hits 30

Correlator information:
Maximum time separation measured 16
Spatial-translation increment 2
Temporal-translation increment 4
Number of optimized operators retained 5
Optimized on time slices 1/ 0
Number of operators before fuzzing:
A1g 22
A1u 13
A2g 11
A2u 13
B1g 18
B1u 16
B2g 14
B2u 10
Eg 13
Eu 16



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 A1g A1g' A1g'' A1u A2g A2u B1g B1g'
(1,0,0) 0.119234(43) 0.4897(15) 0.5685(39) 0.5970(27) 0.5565(14) 0.44933(69) 0.5343(14) -------------
(2,0,0) 0.206438(90) 0.5015(12) 0.6572(30) 0.6059(23) 0.5661(13) 0.47649(75) 0.5317(13) -------------
(3,0,0) 0.27309(14) 0.52539(92) 0.7003(31) 0.6181(18) 0.5898(13) 0.51663(78) 0.5446(11) 0.7182(29)
(4,0,0) 0.33362(22) 0.55645(98) 0.7126(28) 0.6383(17) 0.6234(15) 0.56456(95) 0.5662(13) 0.7359(29)
(5,0,0) 0.39169(34) 0.5923(13) 0.7301(35) 0.6628(21) 0.6629(20) 0.6143(12) 0.5954(14) 0.7472(39)
(6,0,0) 0.44941(47) 0.6318(14) 0.7600(33) 0.6940(24) 0.7113(23) 0.6647(24) 0.6312(15) 0.7695(52)
(7,0,0) 0.50661(67) 0.6747(18) 0.7917(35) 0.7317(27) 0.7551(34) 0.7145(30) 0.6717(21) 0.8018(48)
(8,0,0) 0.56407(88) 0.7190(25) 0.8305(38) 0.7698(37) 0.8035(50) 0.7758(36) 0.7138(27) 0.8361(48)



R B1u B2g B2g' B2u Eg Eg' Eg'' Eu
(1,0,0) 0.6296(30) 0.5460(14) ------------- 0.6370(29) 0.5321(11) 0.5463(12) 0.6885(28) 0.42547(45)
(2,0,0) 0.6349(20) 0.5415(12) ------------- 0.6464(19) 0.54832(87) 0.5592(11) 0.6962(26) 0.42422(36)
(3,0,0) 0.6415(21) 0.5512(12) 0.7270(30) 0.6493(18) 0.55657(88) 0.5983(11) 0.7161(27) 0.44204(40)
(4,0,0) 0.6574(18) 0.5726(11) 0.7387(28) 0.6649(17) 0.57501(91) 0.6415(15) 0.7253(27) 0.47114(48)
(5,0,0) 0.6777(21) 0.6038(14) 0.7545(29) 0.6843(24) 0.6011(10) 0.6898(20) 0.7501(32) 0.50776(61)
(6,0,0) 0.7027(25) 0.6390(17) 0.7756(33) 0.7127(28) 0.6318(11) 0.7421(26) 0.7753(31) 0.54963(80)
(7,0,0) 0.7357(30) 0.6763(25) 0.8017(43) 0.7469(31) 0.6703(14) 0.7921(38) 0.8042(33) 0.5947(10)
(8,0,0) 0.7725(44) 0.7217(36) 0.8375(43) 0.7862(36) 0.7078(21) 0.8433(40) 0.8481(54) 0.6439(13)



R Eu' Eu'' Eu'''
(1,0,0) 0.5813(59) 0.5818(71) 0.6311(21)
(2,0,0) 0.6062(15) 0.6226(16) 0.6319(19)
(3,0,0) 0.6235(13) 0.6412(15) 0.6607(17)
(4,0,0) 0.6455(16) 0.6555(18) 0.6688(17)
(5,0,0) 0.6753(15) 0.6878(19) 0.6921(18)
(6,0,0) 0.7077(19) 0.7119(22) 0.7235(25)
(7,0,0) 0.7463(22) 0.7477(25) 0.7663(29)
(8,0,0) 0.7782(34) 0.7843(30) 0.8120(32)



RAW GAP (above A1g) RESULTS
(in terms of temporal lattice spacing)


R A1g' A1g'' A1u A2g A2u B1g B1g' B1u
(1,0,0) 0.3706(16) 0.4491(40) 0.4777(29) 0.4373(14) 0.33000(73) 0.4150(13) ------------- 0.5104(31)
(2,0,0) 0.2947(11) 0.4506(29) 0.3991(24) 0.3598(14) 0.26995(76) 0.3253(13) ------------- 0.4284(21)
(3,0,0) 0.2522(10) 0.4260(33) 0.3448(19) 0.3169(13) 0.24367(80) 0.2713(11) 0.4455(30) 0.3682(19)
(4,0,0) 0.2228(10) 0.3789(27) 0.3044(18) 0.2899(15) 0.23099(93) 0.2324(12) 0.4025(29) 0.3233(18)
(5,0,0) 0.2005(12) 0.3389(36) 0.2716(21) 0.2711(20) 0.2223(12) 0.2037(14) 0.3549(40) 0.2861(22)
(6,0,0) 0.1824(14) 0.3107(32) 0.2449(24) 0.2615(22) 0.2153(23) 0.1816(16) 0.3196(52) 0.2533(27)
(7,0,0) 0.1677(18) 0.2861(34) 0.2245(27) 0.2478(38) 0.2071(31) 0.1650(21) 0.2943(51) 0.2293(30)
(8,0,0) 0.1556(26) 0.2677(35) 0.2054(36) 0.2403(46) 0.2121(37) 0.1494(29) 0.2741(48) 0.2078(43)



R B2g B2g' B2u Eg Eg' Eg'' Eu Eu'
(1,0,0) 0.4266(14) ------------- 0.5176(29) 0.4129(11) 0.4272(12) 0.5691(26) 0.30617(44) 0.4610(58)
(2,0,0) 0.3351(13) ------------- 0.4396(19) 0.34189(93) 0.3527(11) 0.4893(28) 0.21775(38) 0.4000(15)
(3,0,0) 0.2780(12) 0.4526(32) 0.3757(19) 0.28365(90) 0.3253(11) 0.4432(27) 0.16908(35) 0.3502(14)
(4,0,0) 0.2385(11) 0.4051(27) 0.3314(17) 0.24126(86) 0.3078(15) 0.3911(30) 0.13756(41) 0.3113(15)
(5,0,0) 0.2121(12) 0.3625(33) 0.2925(24) 0.2096(10) 0.2987(19) 0.3587(33) 0.11614(56) 0.2840(15)
(6,0,0) 0.1895(18) 0.3262(34) 0.2629(29) 0.1824(10) 0.2931(26) 0.3262(31) 0.10034(74) 0.2580(19)
(7,0,0) 0.1702(24) 0.2948(39) 0.2405(32) 0.1633(15) 0.2854(40) 0.2979(37) 0.08811(95) 0.2392(20)
(8,0,0) 0.1589(33) 0.2743(39) 0.2225(37) 0.1435(23) 0.2793(45) 0.2850(52) 0.0800(12) 0.2144(31)



R Eu'' Eu'''
(1,0,0) 0.4626(66) 0.5118(22)
(2,0,0) 0.4160(17) 0.4261(20)
(3,0,0) 0.3676(17) 0.3878(16)
(4,0,0) 0.3217(18) 0.3352(16)
(5,0,0) 0.2961(19) 0.3007(19)
(6,0,0) 0.2625(22) 0.2743(29)
(7,0,0) 0.2415(27) 0.2592(32)
(8,0,0) 0.2195(31) 0.2479(34)



RAW RESULTS PLOTS

Energies plotted against R
Energy gaps above A1g plotted against R
Energy gaps above A1g plotted against 1/R
Energy gaps above A1g compared to N Pi/R



TEXTUAL DATA FILES

Energies
Energy gaps above A1g