Exact Solution of a Strongly Coupled Gauge Theory in 0+1 Dimensions

Gauged tensor models are a class of strongly coupled quantum mechanical theories. We present the exact analytic solution of a specific example of such a theory: namely, the smallest colored tensor model due to Gurau and Witten that exhibits nonlinearities. We find explicit analytic expressions for t...

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Bibliographic Details
Published in:	Physical review letters Vol. 120; no. 20; p. 201603
Main Authors:	Krishnan, Chethan, Kumar, K V Pavan
Format:	Journal Article
Language:	English
Published:	United States American Physical Society 18-05-2018
Subjects:	Eigenvalues Eigenvectors Exact solutions Gauge theory Mathematical models Quantum mechanics
Online Access:	Get full text
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Summary:	Gauged tensor models are a class of strongly coupled quantum mechanical theories. We present the exact analytic solution of a specific example of such a theory: namely, the smallest colored tensor model due to Gurau and Witten that exhibits nonlinearities. We find explicit analytic expressions for the eigenvalues and eigenstates, and the former agree precisely with previous numerical results on (a subset of) eigenvalues of the ungauged theory. The physics of the spectrum, despite the smallness of N, exhibits rudimentary signatures of chaos. This Letter is a summary of our main results: the technical details will appear in companion paper [C. Krishnan and K. V. Pavan Kumar, Complete solution of a gauged tensor model, arXiv:1804.10103].
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0031-9007 1079-7114
DOI:	10.1103/PhysRevLett.120.201603