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1983•Physical Review LettersRequires access

Topological Charge in Lattice Gauge Theory

Peter Woit

Open publisher page 107 citations

Abstract

A useful definition of the topological charge of a lattice gauge-field configuration is given. This definition is used to calculate the topological susceptibility ${\ensuremath{\chi}}_{t}=\frac{〈{Q}^{2}〉}{V}$ in SU(2) lattice gauge theory by means of a Monte Carlo simulation. ${\ensuremath{\chi}}_{t}={(170\ifmmode\pm\else\textpm\fi{}25 \mathrm{MeV})}^{4}$ is obtained, in good agreement with the current algebra prediction. Other possible uses of this operator are suggested.

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What this paper is about

A useful definition of the topological charge of a lattice gauge-field configuration is given. This definition is used to calculate the topological susceptibility ${\ensuremath{\chi}}_{t}=\frac{〈{Q}^{2}〉}{V}$ in SU(2) lattice gauge theory by means of a Monte Carlo simulation. ${\ensuremath{\chi}}_{t}={(170\ifmmode\pm\else\textpm\fi{}25 \mathrm{MeV})}^{4}$ is obtained, in good agreement with the current algebra prediction. Other possible uses of this operator are suggested.

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Available abstract

A useful definition of the topological charge of a lattice gauge-field configuration is given. This definition is used to calculate the topological susceptibility ${\ensuremath{\chi}}_{t}=\frac{〈{Q}^{2}〉}{V}$ in SU(2) lattice gauge theory by means of a Monte Carlo simulation. ${\ensuremath{\chi}}_{t}={(170\ifmmode\pm\else\textpm\fi{}25 \mathrm{MeV})}^{4}$ is obtained, in good agreement with the current algebra prediction. Other possible uses of this operator are suggested.

Key concepts: Physics, Lattice gauge theory, Topological quantum number, Lattice field theory, Lattice (music), Gauge theory, Hamiltonian lattice gauge theory, Charge (physics)

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