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Density Matrix Renormalization Group Approach to the Massive Schwinger Model

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arxiv hep-lat/0201007 v1 pith:32VKXEF6 submitted 2002-01-07 hep-lat

classification hep-lat
keywords modelapproachdensitygrouplatticemassivematrixrenormalization
verification ladder T0 review T1 audit T2 compute T3 formal
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The massive Schwinger model is studied, using a density matrix renormalization group approach to the staggered lattice Hamiltonian version of the model. Lattice sizes up to 256 sites are calculated, and the estimates in the continuum limit are almost two orders of magnitude more accurate than previous calculations. Coleman's picture of `half-asymptotic' particles at background field (theta = pi) is confirmed. The predicted phase transition at finite fermion mass (m/g) is accurately located, and demonstrated to belong in the 2D Ising universality class.

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Cited by 3 Pith papers

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    A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.

  2. First-order CP phase transition in two-flavor QCD at $\theta = \pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description

    hep-ph 2025-02 conditional novelty 6.0 of 10

    In an NJL model, the electromagnetic scale anomaly creates a thermal potential barrier proportional to |eB|^3 |P|/(P^2 + m0^2), making the theta = pi CP transition first order.

  3. Phases of 2d Gauge Theories and Symmetric Mass Generation

    hep-th 2025-09 unverdicted novelty 5.0 of 10

    Abelian 2d gauge theories show rich phase structure with c=1 and c=1/2 critical lines; chiral versions realize symmetric mass generation for fermions.

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