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Tensor network formulation of the massless Schwinger model

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arxiv 1911.01285 v2 pith:OFLEWS63 submitted 2019-11-04 hep-lat cond-mat.str-el

Nouman Butt , Simon Catterall , Yannick Meurice , Judah Unmuth-Yockey This is my paper · ORCID
classification hep-latcond-mat.str-el
keywords tensornetworkcouplingmasslessmodelrepresentationschwingerterm
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct a tensor network representation of the partition function for the massless Schwinger model on a two dimensional lattice using staggered fermions. The tensor network representation allows us to include a topological term. Using a particular implementation of the tensor renormalization group (HOTRG) we calculate the phase diagram of the theory. For a range of values of the coupling to the topological term $\theta$ and the gauge coupling $\beta$ we compare with results from hybrid Monte Carlo when possible and find good agreement.

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Cited by 4 Pith papers

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  3. Grassmann Tensor Renormalization Group for two-flavor massive Schwinger model with a theta term

    hep-lat 2025-01 conditional novelty 6.0 of 10

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  4. Tensor renormalization group study of the two-dimensional lattice U(1) gauge-Higgs model with a topological $\theta$ term under L\"uscher's admissibility condition

    hep-lat 2025-01 conditional novelty 4.0 of 10

    TRG computations show that Lüscher's admissibility condition moves the first-order transition of the 2D U(1) gauge-Higgs model at theta = pi closer to theta = pi under the field-theoretical definition, and locate the ...

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