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

Krishnan, Chethan and Kumar, K V Pavan (2018) Exact Solution of a Strongly Coupled Gauge Theory in 0+1 Dimensions. In: PHYSICAL REVIEW LETTERS, 120 (20).

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Abstract

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].

Item Type:	Journal Article
Publication:	PHYSICAL REVIEW LETTERS
Publisher:	AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Additional Information:	Copy right of this article belong to AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	13 Jun 2018 15:26
Last Modified:	13 Jun 2018 15:26
URI:	http://eprints.iisc.ac.in/id/eprint/60007

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