Abstract
The first order plaquette expansion of lattice Hamiltonians is applied to quantum chromodynamics with two massless quarks. Analytic expressions are obtained for the vacuum energy density, {epsilon}{sub 0}(g), and lowest vector and nucleon masses, M{sub V}(g) and M{sub N}(g). The vacuum energy density is valid into the weak coupling region down to about g{sup 2} {approx} 0.8, demonstrating the genuine non-perturbative nature of these approximates. The `specific heat` derived from {epsilon}{sub 0}(g) agrees well with numerical calculations in the t-expansion. The ratio R = M{sub N}/M{sub V} increases from the strong coupling limit of zero to a more realistic value of R {approx} 1.2 {yields} 1.3 at the transition from strong to weak coupling. 12 refs., 3 figs.
Citation Formats
Hollenberg, L C.L.
Approximate analytic diagonalization of lattice QCD.
Australia: N. p.,
1994.
Web.
Hollenberg, L C.L.
Approximate analytic diagonalization of lattice QCD.
Australia.
Hollenberg, L C.L.
1994.
"Approximate analytic diagonalization of lattice QCD."
Australia.
@misc{etde_10113752,
title = {Approximate analytic diagonalization of lattice QCD}
author = {Hollenberg, L C.L.}
abstractNote = {The first order plaquette expansion of lattice Hamiltonians is applied to quantum chromodynamics with two massless quarks. Analytic expressions are obtained for the vacuum energy density, {epsilon}{sub 0}(g), and lowest vector and nucleon masses, M{sub V}(g) and M{sub N}(g). The vacuum energy density is valid into the weak coupling region down to about g{sup 2} {approx} 0.8, demonstrating the genuine non-perturbative nature of these approximates. The `specific heat` derived from {epsilon}{sub 0}(g) agrees well with numerical calculations in the t-expansion. The ratio R = M{sub N}/M{sub V} increases from the strong coupling limit of zero to a more realistic value of R {approx} 1.2 {yields} 1.3 at the transition from strong to weak coupling. 12 refs., 3 figs.}
place = {Australia}
year = {1994}
month = {Dec}
}
title = {Approximate analytic diagonalization of lattice QCD}
author = {Hollenberg, L C.L.}
abstractNote = {The first order plaquette expansion of lattice Hamiltonians is applied to quantum chromodynamics with two massless quarks. Analytic expressions are obtained for the vacuum energy density, {epsilon}{sub 0}(g), and lowest vector and nucleon masses, M{sub V}(g) and M{sub N}(g). The vacuum energy density is valid into the weak coupling region down to about g{sup 2} {approx} 0.8, demonstrating the genuine non-perturbative nature of these approximates. The `specific heat` derived from {epsilon}{sub 0}(g) agrees well with numerical calculations in the t-expansion. The ratio R = M{sub N}/M{sub V} increases from the strong coupling limit of zero to a more realistic value of R {approx} 1.2 {yields} 1.3 at the transition from strong to weak coupling. 12 refs., 3 figs.}
place = {Australia}
year = {1994}
month = {Dec}
}