Fuzzy Scalar Field Theory as Matrix Quantum Mechanics

Matthias Ihl, Christoph Sachse, Christian Saemann

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9 Citations (Scopus)


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 languageUndefined/Unknown
Pages (from-to)1-17
Number of pages18
JournalJournal of High Energy Physics
Issue number91
Publication statusPublished - 16 Dec 2010

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