The radial part of the zero-mode Hamiltonian for sigma models with group target space

Doug Pickrell

doi:10.1142/S0129055X04002138

The radial part of the zero-mode Hamiltonian for sigma models with group target space

Doug Pickrell

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this note, we use geometric arguments to derive a possible form for the radial part of the "zero-mode Hamiltonian" for the two-dimensional sigma model with target space S³, or more generally a compact simply connected Lie group.

Original language	English (US)
Pages (from-to)	603-628
Number of pages	26
Journal	Reviews in Mathematical Physics
Volume	16
Issue number	5
DOIs	https://doi.org/10.1142/S0129055X04002138
State	Published - Jun 2004

Keywords

Hamiltonian
Sigma model
Wiener measure
loop group

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1142/S0129055X04002138

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abstract = "In this note, we use geometric arguments to derive a possible form for the radial part of the {"}zero-mode Hamiltonian{"} for the two-dimensional sigma model with target space S3, or more generally a compact simply connected Lie group.",

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year = "2004",

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doi = "10.1142/S0129055X04002138",

language = "English (US)",

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KW - Hamiltonian

KW - Sigma model

KW - Wiener measure

KW - loop group

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JO - Reviews in Mathematical Physics

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The radial part of the zero-mode Hamiltonian for sigma models with group target space

Abstract

Keywords

ASJC Scopus subject areas

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