Lattice gaugefixing and other optics in lattice gauge theory

Technical Report · Mon Jun 01 00:00:00 EDT 1992

DOI:https://doi.org/10.2172/5082303· OSTI ID:5082303

Yee, Ken

We present results from four projects. In the first, quark and gluon propagators and effective masses and {Delta}I = 1/2 Rule operator matching coefficients are computed numerically in gaugefixed lattice QCD. In the second, the same quantities are evaluated analytically in the strong coupling, N {yields} {infinity} limit. In the third project, the Schwinger model is studied in covariant gauges, where we show that the effective electron mass varies with the gauge parameter and that longitudinal gaugefixing ambiguities affect operator product expansion coefficients (analogous to {Delta}I = 1/2 Rule matching coefficients) determined by matching gauge variant matrix elements. However, we find that matching coefficients even if shifted by the unphysical modes are {xi} invariant. In the fourth project, we show that the strong coupling parallelogram lattice Schwinger model as a different thermodynamic limit than the weak coupling continuum limit. As a function of lattice skewness angle these models span the {Delta} = {minus}1 critical line of 6-vertex models which, in turn, have been identified as c = 1 conformal field theories.

• Research Organization: Brookhaven National Lab. (BNL), Upton, NY (United States)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 5082303
• Report Number(s): BNL-47668; ON: DE92016958
• Resource Relation: Other Information: Thesis (Ph.D)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
CORRELATION FUNCTIONS
MATRIX ELEMENTS
QUANTUM CHROMODYNAMICS
QUARK MATTER
QUARKS
REST MASS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
MASS
MATTER
POSTULATED PARTICLES
QUANTUM FIELD THEORY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)