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Many-body chaos at weak coupling

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arxiv 1512.07687 v2 pith:J37QYR2H submitted 2015-12-24 hep-th

classification hep-th
keywords chaoslambdacalculatecertainclassicalcomputationcoupledcoupling
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The strength of chaos in large $N$ quantum systems can be quantified using $\lambda_L$, the rate of growth of certain out-of-time-order four point functions. We calculate $\lambda_L$ to leading order in a weakly coupled matrix $\Phi^4$ theory by numerically diagonalizing a ladder kernel. The computation reduces to an essentially classical problem.

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