First order analytic diagonalization of lattice QCD

Lloyd C. L. Hollenberg
Phys. Rev. D 50, 6917 – Published 1 December 1994
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Abstract

The first order plaquette expansion of lattice Hamiltonians is applied to QCD with two massless quarks. Analytic expressions are obtained for the vacuum energy density scrE0(g) and lowest vector and nucleon masses MV(g) and MN(g). The vacuum energy density is valid into the weak coupling region down to about g2∼0.8, demonstrating the genuine nonperturbative nature of these approximates. The ‘‘specific heat’’ derived from scrE0(g) agrees well with numerical calculations in the t expansion. The ratio R=MN/MV increases from the strong coupling limit of zero to a more realistic value of R∼1.2→1.3 at the transition from strong to weak coupling.

  • Received 6 December 1993

DOI:https://doi.org/10.1103/PhysRevD.50.6917

©1994 American Physical Society

Authors & Affiliations

Lloyd C. L. Hollenberg

  • Research Centre for High Energy Physics, School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia

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Issue

Vol. 50, Iss. 11 — 1 December 1994

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