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Elementary derivation of Weingarten functions of classical Lie groups

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arxiv 1406.2182 v2 pith:HB7OFBHD submitted 2014-06-09 math-ph math.COmath.MP

Marcel Novaes This is my paper · ORCID
classification math-phmath.COmath.MP
keywords functionsclassicalderivationelementarygroupsweingartenbasicblocks
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Integration of polynomials over the classical groups of unitary, orthogonal and symplectic matrices can be reduced to basic building blocks known as Weingarten functions. We present an elementary derivation of these functions.

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  1. Theory of the phase transition in random unitary circuits with measurements

    cond-mat.stat-mech 2019-08 conditional novelty 8.0 of 10

    A replica calculation maps random unitary circuits with measurements to classical spin models, yielding a percolation transition with p_c=1/2 at infinite local dimension and a new Fisher-information signature.

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