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Tensor renormalization group study of the 2d O(3) model
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Tensor renormalization group study of the 2d O(3) model
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We present our progress on a study of the $O(3)$ model in two-dimensions using the Tensor Renormalization Group method. We first construct the theory in terms of tensors, and show how to construct $n$-point correlation functions. We then give results for thermodynamic quantities at finite and infinite volume, as well as 2-point correlation function data. We discuss some of the advantages and challenges of tensor renormalization and future directions in which to work.
Forward citations
Cited by 1 Pith paper
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Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method
Forward-mode AD for TRG is derived with (k+1)(k+2)/2 cost scaling, linked to impurity methods, and tested on the 2D/3D Ising model for energy, specific heat, and critical exponents.
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