Published 2011 | Version v1
Journal article Metadata-only

Formulae for topological charge in noncommutative U(1) theory in four dimensions

Creators

  • 1. University of Taiz (Yemen)
  • 2. Vienna University of Technology (Austria)

Description

We discuss U(1) gauge theory with noncommutative space-time coordinates in two and four dimensions on a lattice with N sites. The mapping to a U(N) plaquette model in the sense of Eguchi and Kawai makes both analytical calculations and computer simulations feasible. The topological charge q can be transcribed to the plaquette and hypercube formulation in the matrix theory in 4D. There exist formulations of the classical equation of motion within the matrix model. From them we try to derive general formulae for q in four dimensions. The aim is to analyze an action-charge diagram as in 2D.

Additional details

Identifiers

URL
http://www.dpg-verhandlungen.de;

Publishing Information

Journal Title
Verhandlungen der Deutschen Physikalischen Gesellschaft
Journal Issue
Karlsruhe 2011 issue
Series
Also available as printed version: Verhandlungen der Deutschen Physikalischen Gesellschaft v. 46(3)
Journal Page Range
[1 p.]
ISSN
0420-0195
CODEN
VDPEAZ

Conference

Title
2011 Spring meeting of the DPG with the professional associations gravitation and theory of relativity, particle physics, theoretical and mathematical fundamentals of the physics
Original Conference Title
DPG Fruehjahrstagung 2011 der Fachverbaende Gravitation und Relativitaetstheorie, Teilchenphysik, Theoretische und Mathematische Grundlagen der Physik
Dates
28 Mar - 1 Apr 2011
Place
Karlsruhe (Germany)

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
44000381
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
COMMUTATION RELATIONS; FIELD EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; LATTICE FIELD THEORY; MATRICES; TWO-DIMENSIONAL CALCULATIONS; U-1 GROUPS; UNIFIED GAUGE MODELS
Descriptors DEC
CONSTRUCTIVE FIELD THEORY; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; LIE GROUPS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; QUANTUM FIELD THEORY; SYMMETRY GROUPS; U GROUPS

Optional Information

Notes
Session: T 23.1 Mo 16:45; No further information available