Topics in lattice gauge theory: Dirac-Kaehler fermions on a body-centered tesseract lattice, Wilson fermion self energy, and lattice instantons

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1987

OSTI ID:5550895

Jennings, J P

A lattice Monte Carlo technique for implementing Dirac-Kaehler fermions on a body-centered tesseract lattice is discussed. By considering eigenstates of the Laplacian it is shown that this technique represents the correct number of physical degrees of freedom. All zero momentum and some momentum dependant eigenstates of the Laplacian are found, and a numerical study of the momentum dependant eigenvalues is discussed. A representation of chiral invariance is proposed. Fermion self-energy diagrams are evaluated for Wilson fermions on the lattice. The results are compared with the work of others and discrepancies are noted. A method for evaluating instanton number on the lattice is discussed. This method is used to calculate the eta-prime mass on two different lattices. Some methods for probing configurations that give unusually small values for the pion mass are discussed.

• Research Organization: California Univ., Los Angeles (USA)
• OSTI ID: 5550895
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FERMIONS
FIELD THEORIES
HADRONS
INSTANTONS
LATTICE FIELD THEORY
MASS
MATHEMATICAL MODELS
MESONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PIONS
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUASI PARTICLES
SELF-ENERGY
UNIFIED GAUGE MODELS
WAVE EQUATIONS