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Dual simulation of the 2-dimensional lattice U(1) gauge-Higgs model with a topological term

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arxiv 1508.00681 v2 pith:VPEHO3CR submitted 2015-08-04 hep-lat cond-mat.supr-con

classification hep-latcond-mat.supr-con
keywords dualmodeltermtopologicaldimensionalgauge-higgslatticesimulation
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The 2-dimensional U(1) gauge-Higgs model with a topological term is a simple example of a lattice field theory where the complex action problem comes from the topological term. We show that the model can be exactly rewritten in terms of dual variables, such that the dual partition sum has only real and positive contributions. Using suitable algorithms the dual formulation allows for Monte Carlo simulations at arbitrary values of the vacuum angle. We demonstrate the feasibility of the dual simulation and study the continuum limit, as well as the phase diagram of the system.

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  1. 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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