Fuzzy Scalar Field Theory as Matrix Quantum Mechanics

Matthias Ihl; Christoph Sachse; Christian Saemann

doi:10.1007/JHEP03(2011)091

Fuzzy Scalar Field Theory as Matrix Quantum Mechanics

Matthias Ihl, Christoph Sachse, Christian Saemann

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

9 Citations (Scopus)

Abstract

We study the phase diagram of scalar field theory on a three dimensional Euclidean spacetime whose spatial component is a fuzzy sphere. The corresponding model is an ordinary one-dimensional matrix model deformed by terms involving fixed external matrices. These terms can be approximated by multitrace expressions using a group theoretical method developed recently. The resulting matrix model is accessible to the standard techniques of matrix quantum mechanics.

Original language	Undefined/Unknown
Pages (from-to)	1-17
Number of pages	18
Journal	Journal of High Energy Physics
Volume	3
Issue number	91
DOIs	https://doi.org/10.1007/JHEP03(2011)091
Publication status	Published - 16 Dec 2010

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10.1007/JHEP03(2011)091

Cite this

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title = "Fuzzy Scalar Field Theory as Matrix Quantum Mechanics",

abstract = "We study the phase diagram of scalar field theory on a three dimensional Euclidean spacetime whose spatial component is a fuzzy sphere. The corresponding model is an ordinary one-dimensional matrix model deformed by terms involving fixed external matrices. These terms can be approximated by multitrace expressions using a group theoretical method developed recently. The resulting matrix model is accessible to the standard techniques of matrix quantum mechanics.",

author = "Matthias Ihl and Christoph Sachse and Christian Saemann",

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AU - Sachse, Christoph

AU - Saemann, Christian

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AB - We study the phase diagram of scalar field theory on a three dimensional Euclidean spacetime whose spatial component is a fuzzy sphere. The corresponding model is an ordinary one-dimensional matrix model deformed by terms involving fixed external matrices. These terms can be approximated by multitrace expressions using a group theoretical method developed recently. The resulting matrix model is accessible to the standard techniques of matrix quantum mechanics.

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DO - 10.1007/JHEP03(2011)091

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