SU(3) in 3+1 dimensions: Run D, beta=2.2, xi=5, (12 x 12 x 12) x 48 as * at * sigma = 0.08798(60) 1 / (as * at * sigma) = 11.366(77) xi = 5 Zxi = 0.9625(95) 1 / Zxi = 1.039(10) a_s * sqrt(sigma) = 0.6507(39) a_t * sqrt(sigma) = 0.13521(80) 1 / (a_s * sqrt(sigma)) = 1.5368(90) 1 / (a_t * sqrt(sigma)) = 7.396(44) Energy gaps above the ground state. orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) A1g' / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 2.973879 0.022228 (2,0,0) 1.301390 0.007806 0.768416 0.004522 2.373334 0.016750 (3,0,0) 1.952084 0.011710 0.512278 0.003015 2.021291 0.016415 (4,0,0) 2.602779 0.015613 0.384208 0.002261 1.799415 0.018298 (5,0,0) 3.253474 0.019516 0.307367 0.001809 1.630049 0.024917 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) A1g'' / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 3.859904 0.045501 (2,0,0) 1.301390 0.007806 0.768416 0.004522 3.789643 0.037869 (3,0,0) 1.952084 0.011710 0.512278 0.003015 3.289682 0.039950 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.915451 0.056740 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.641065 0.062673 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) A1u / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 3.928685 0.040751 (2,0,0) 1.301390 0.007806 0.768416 0.004522 3.251224 0.034795 (3,0,0) 1.952084 0.011710 0.512278 0.003015 2.783065 0.027745 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.433980 0.029062 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.179563 0.030985 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) A2g / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 3.822925 0.028960 (2,0,0) 1.301390 0.007806 0.768416 0.004522 3.139546 0.026887 (3,0,0) 1.952084 0.011710 0.512278 0.003015 2.775670 0.024858 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.523470 0.033877 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.441376 0.044617 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) A2u / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 2.937491 0.018907 (2,0,0) 1.301390 0.007806 0.768416 0.004522 2.447293 0.017522 (3,0,0) 1.952084 0.011710 0.512278 0.003015 2.213584 0.019314 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.156635 0.025033 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.073062 0.030722 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) B1g / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 3.391745 0.026486 (2,0,0) 1.301390 0.007806 0.768416 0.004522 2.639586 0.019740 (3,0,0) 1.952084 0.011710 0.512278 0.003015 2.188438 0.016697 (4,0,0) 2.602779 0.015613 0.384208 0.002261 1.862280 0.018522 (5,0,0) 3.253474 0.019516 0.307367 0.001809 1.663331 0.021654 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) B1u / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 4.410896 0.039103 (2,0,0) 1.301390 0.007806 0.768416 0.004522 3.533746 0.035175 (3,0,0) 1.952084 0.011710 0.512278 0.003015 2.949472 0.031947 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.559710 0.035968 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.286803 0.034623 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) B2g / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 3.714945 0.026305 (2,0,0) 1.301390 0.007806 0.768416 0.004522 2.822264 0.023455 (3,0,0) 1.952084 0.011710 0.512278 0.003015 2.298636 0.020749 (4,0,0) 2.602779 0.015613 0.384208 0.002261 1.977655 0.020121 (5,0,0) 3.253474 0.019516 0.307367 0.001809 1.757998 0.024556 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) B2u / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 4.527011 0.047652 (2,0,0) 1.301390 0.007806 0.768416 0.004522 3.692757 0.038124 (3,0,0) 1.952084 0.011710 0.512278 0.003015 3.140286 0.035050 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.698013 0.037659 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.389605 0.038273 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) Eg / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 3.543361 0.023936 (2,0,0) 1.301390 0.007806 0.768416 0.004522 2.831139 0.021550 (3,0,0) 1.952084 0.011710 0.512278 0.003015 2.310469 0.017276 (4,0,0) 2.602779 0.015613 0.384208 0.002261 1.914790 0.017567 (5,0,0) 3.253474 0.019516 0.307367 0.001809 1.666289 0.017840 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) Eg' / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 3.692757 0.025429 (2,0,0) 1.301390 0.007806 0.768416 0.004522 3.061890 0.024023 (3,0,0) 1.952084 0.011710 0.512278 0.003015 2.880691 0.024746 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.775670 0.035227 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.780107 0.057203 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) Eg'' / sqrt(sigma) (3,0,0) 1.952084 0.011710 0.512278 0.003015 3.774112 0.041456 (4,0,0) 2.602779 0.015613 0.384208 0.002261 3.366599 0.038276 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.957608 0.041667 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) Eu / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 2.573467 0.015990 (2,0,0) 1.301390 0.007806 0.768416 0.004522 1.779890 0.011628 (3,0,0) 1.952084 0.011710 0.512278 0.003015 1.346122 0.009128 (4,0,0) 2.602779 0.015613 0.384208 0.002261 1.081942 0.009394 (5,0,0) 3.253474 0.019516 0.307367 0.001809 0.917827 0.011721 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) Eu' / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 4.009300 0.028191 (2,0,0) 1.301390 0.007806 0.768416 0.004522 3.473100 0.026399 (3,0,0) 1.952084 0.011710 0.512278 0.003015 3.030827 0.025381 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.621835 0.028397 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.379991 0.028901 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) Eu'' / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 4.118020 0.034688 (2,0,0) 1.301390 0.007806 0.768416 0.004522 3.564809 0.030783 (3,0,0) 1.952084 0.011710 0.512278 0.003015 3.046358 0.025447 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.646242 0.030347 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.405137 0.040373 orientation r * sqrt(sigma) 1 / (r * sqrt(sigma)) Eu''' / sqrt(sigma) (1,0,0) 0.650695 0.003903 1.536833 0.009044 4.323625 0.035070 (2,0,0) 1.301390 0.007806 0.768416 0.004522 3.602528 0.027929 (3,0,0) 1.952084 0.011710 0.512278 0.003015 3.168390 0.030328 (4,0,0) 2.602779 0.015613 0.384208 0.002261 2.715763 0.028105 (5,0,0) 3.253474 0.019516 0.307367 0.001809 2.468001 0.035738