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Title: Lattice gaugefixing and other optics in lattice gauge theory

Abstract

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.

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

Citation Formats

Yee, Ken. Lattice gaugefixing and other optics in lattice gauge theory. United States: N. p., 1992. Web. doi:10.2172/5082303.
Yee, Ken. Lattice gaugefixing and other optics in lattice gauge theory. United States. https://doi.org/10.2172/5082303
Yee, Ken. 1992. "Lattice gaugefixing and other optics in lattice gauge theory". United States. https://doi.org/10.2172/5082303. https://www.osti.gov/servlets/purl/5082303.
@article{osti_5082303,
title = {Lattice gaugefixing and other optics in lattice gauge theory},
author = {Yee, Ken},
abstractNote = {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.},
doi = {10.2172/5082303},
url = {https://www.osti.gov/biblio/5082303}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jun 01 00:00:00 EDT 1992},
month = {Mon Jun 01 00:00:00 EDT 1992}
}