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Critical properties of the hierarchical reference theory

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arxiv 1710.07157 v1 pith:E26SUTIW submitted 2017-10-19 cond-mat.stat-mech

Critical properties of the hierarchical reference theory

classification cond-mat.stat-mech
keywords criticaltheoryworkdifferentialhierarchicalpropertiesreferenceaccurate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The critical region of the hierarchical reference theory (HRT) is investigated further. This extends an earlier work by us where the critical properties of the HRT were concluded indirectly via another accurate but somewhat different theory, the self-consistent Ornstein-Zernike approximation (SCOZA), and numerical work. In the present work we perform our analysis directly upon the HRT partial differential equation to establish ordinary differential equations for the subleading scaling contributions. Again we find that the HRT critical indices in three dimensions are simple rational numbers.

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    A review of high-order RI'/SMOM-to-MS matching factors for lattice QCD bilinear and three-quark operators, including unpublished N=1 results.