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Approximate analytic diagonalization of lattice QCD

Technical Report:

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.
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
UM-P-93/106; OZ-93/25.
Reference Number:
SCA: 662230; PA: AIX-26:018037; EDB-95:032295; SN: 95001330056
Resource Relation:
Other Information: PBD: [1994]
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; HAMILTONIANS; SERIES EXPANSION; QUANTUM CHROMODYNAMICS; ANALYTICAL SOLUTION; ENERGY DENSITY; HADRONS; LATTICE FIELD THEORY; MANY-BODY PROBLEM; MASS SPECTRA; MATRIX ELEMENTS; PARTICLE INTERACTIONS; VACUUM STATES; 662230
Sponsoring Organizations:
Australian Research Council, Canberra, ACT (Australia)
OSTI ID:
10113752
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE95616332; TRN: AU9414218018037
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
12 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}