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Boundary Tensor Renormalization Group

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arxiv 1905.02351 v2 pith:UWO42UEW submitted 2019-05-07 cond-mat.stat-mech cond-mat.str-elhep-th

classification cond-mat.stat-mechcond-mat.str-elhep-th
keywords boundarytensorsalgorithmbulkconformalfixedgrouppoint
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We develop the tensor renormalization group (TRG) algorithm for statistical systems with open boundaries, which allows us to investigate not only the bulk but also the boundary property, such as the surface magnetization. We demonstrate that the tensors representing the boundary in our algorithm exhibit the fixed point structures just as bulk tensors in previous TRG algorithms. At criticality, the scale-invariant boundary fixed point tensors have the information of the conformal tower, which is described by the underlying boundary conformal field theory.

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Cited by 2 Pith papers

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    hep-th 2026-02 conditional novelty 7.0 of 10

    Tensor-network contraction of finite-temperature Z_N gauge theory yields central charges and scaling dimensions consistent with Svetitsky–Yaffe universality for N=2,3,5, including a U(1)-symmetric BKT phase for N=5, a...

  2. Initial tensor construction for the tensor renormalization group

    hep-lat 2025-01 conditional novelty 4.0 of 10

    A delta-function index-shifting algorithm builds locally connected initial tensors for the tensor renormalization group from arbitrary Boltzmann factors, and boundary-style squeezers remove the initial-tensor dependen...

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