Fermions in lattice gauge theory
Abstract
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 coupledmore »
- Authors:
- Publication Date:
- Research Org.:
- California Univ., Santa Cruz (USA)
- OSTI Identifier:
- 5114861
- Resource Type:
- Thesis/Dissertation
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; UNIFIED GAUGE MODELS; LATTICE FIELD THEORY; BARYONS; FERMIONS; FLAVOR MODEL; SCHWINGER SOURCE THEORY; SO GROUPS; SPIN; STRONG-COUPLING MODEL; SUPERSYMMETRY; THIRRING MODEL; U-1 GROUPS; WEAK-COUPLING MODEL; WILSON LOOP; ANGULAR MOMENTUM; COMPOSITE MODELS; ELEMENTARY PARTICLES; FIELD THEORIES; HADRONS; LIE GROUPS; MATHEMATICAL MODELS; NUCLEAR MODELS; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; QUARK MODEL; SYMMETRY; SYMMETRY GROUPS; U GROUPS; 645400* - High Energy Physics- Field Theory
Citation Formats
van den Doel, C P. Fermions in lattice gauge theory. United States: N. p., 1984.
Web.
van den Doel, C P. Fermions in lattice gauge theory. United States.
van den Doel, C P. 1984.
"Fermions in lattice gauge theory". United States.
@article{osti_5114861,
title = {Fermions in lattice gauge theory},
author = {van den Doel, C P},
abstractNote = {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 =},
doi = {},
url = {https://www.osti.gov/biblio/5114861},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 1984},
month = {Sun Jan 01 00:00:00 EST 1984}
}