Fermions in lattice gauge theory

Thesis/Dissertation · Sat Dec 31 23:00:00 EST 1983

OSTI ID:5114861

van den Doel, C P

Spin 3/2 and 5/2 fields on the lattice are investigated. Species doubling is found to be curable with an analogue of Wilson's method and partially curable with an analogue of the Kogut-Susskind formalism. Only the latter preserves local supersymmetry but describes at least four species. SO(N) and SU(N) gauge theories with euclidean Susskind fermions giving two Dirac flavors in the continuum limit are investigated. Flavor aspects are elucidated at weak coupling and mass terms are constructed which break the flavor symmetry. At strong coupling the self interaction of massless baryons is found to cause dynamical symmetry breaking. The effect of suppressing closed fermion loops (the quenched approximation) is investigated in some 1 + 1 dimensional field theories. In the Schwinger model and in the Thirring model it is found that effects of fermion loops on bound state masses can be absorbed in a rescaling of the coupling constant. In the Schwinger model and in the Thirring model it is found that effects of fermion loops on bound state masses can be absorbed in a rescaling of the coupling constant. In the Schwinger model an extra (decoupled) massless ghost appears and the order parameter becomes infrared divergent. In a strongly coupled U(1) lattice gauge theory with euclidean Susskind fermions the order parameter v =

• Research Organization: California Univ., Santa Cruz (USA)
• OSTI ID: 5114861
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BARYONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FLAVOR MODEL
HADRONS
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUARK MODEL
SCHWINGER SOURCE THEORY
SO GROUPS
SPIN
STRONG-COUPLING MODEL
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
THIRRING MODEL
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
WEAK-COUPLING MODEL
WILSON LOOP