On U(1) Gauge Theory Transfer-Matrix in Fourier Basis
High Energy Physics - Lattice
2019-08-23 v2 High Energy Physics - Theory
Abstract
The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored. Among other statements it is shown: 1) the transfer-matrix is block-diagonal, 2) all consisting vectors of a block are known based on an arbitrary block vector, 3) the ground-state belongs to the zero-mode's block. The emergence of maximum-points in matrix-elements as functions of the gauge coupling is clarified. Based on explicit expressions for the matrix-elements we present numerical results as tests of our statements.
Keywords
Cite
@article{arxiv.1807.03150,
title = {On U(1) Gauge Theory Transfer-Matrix in Fourier Basis},
author = {Narges Vadood and Amir H. Fatollahi},
journal= {arXiv preprint arXiv:1807.03150},
year = {2019}
}
Comments
LaTeX; 11 pages; 5 figs. The published version: Title is changed; More numerical results are added