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Density Matrix Renormalisation Group Approach to the Massive Schwinger Model

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arxiv hep-lat/0202014 v1 pith:XA4CHGMT submitted 2002-02-11 hep-lat

T. Byrnes , P. Sriganesh , R.J. Bursill , C.J. Hamer This is my paper · ORCID
classification hep-lat
keywords modelapproachdensitygrouplatticemassivematrixrenormalisation
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The massive Schwinger model is studied, using a density matrix renormalisation 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 6 Pith papers

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    The gauge-invariant VUMPS algorithm determines the continuum critical mass of the Schwinger model as (m/g)c = 0.333556(5) and produces data collapse consistent with Ising critical exponents.

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    Tensor-network simulations of the massive Schwinger model show Bjorken-like hydrodynamics at small m/g and sharp dynamical order parameters marking the parity-breaking phase transition near m/g=0.33 at θ=π.

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