First order analytic diagonalization of lattice QCD

Journal Article · Thu Dec 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.6917· OSTI ID:6865972

Hollenberg, L C.L. ^[1]

---

1. Research Centre for High Energy Physics, School of Physics, University of Melbourne, Parkville, Victoria 3052 (Australia)

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 [ital scrE][sub 0]([ital g]) and lowest vector and nucleon masses [ital M][sub [ital V]]([ital g]) and [ital M][sub [ital N]]([ital g]). The vacuum energy density is valid into the weak coupling region down to about [ital g][sup 2][similar to]0.8, demonstrating the genuine nonperturbative nature of these approximates. The specific heat'' derived from [ital scrE][sub 0]([ital g]) agrees well with numerical calculations in the [ital t] expansion. The ratio [ital R]=[ital M][sub [ital N]]/[ital M][sub [ital V]] increases from the strong coupling limit of zero to a more realistic value of [ital R][similar to]1.2[r arrow]1.3 at the transition from strong to weak coupling.

• OSTI ID: 6865972
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:11; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662230* -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
COUPLING
ELEMENTARY PARTICLES
ENERGY DENSITY
EXPANSION
FERMIONS
FIELD THEORIES
HADRONS
HAMILTONIANS
LATTICE FIELD THEORY
MASS
MASSLESS PARTICLES
MATHEMATICAL OPERATORS
NUCLEONS
PHYSICAL PROPERTIES
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARKS
SPECIFIC HEAT
TENSORS
THERMODYNAMIC PROPERTIES
VACUUM STATES
VECTORS