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The Ground State Energy of The Massless Spin-Boson Model

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arxiv 1005.4366 v2 pith:IH2PECZ7 submitted 2010-05-24 math-ph cond-mat.othermath.MPmath.PRquant-ph

classification math-phcond-mat.othermath.MPmath.PRquant-ph
keywords expansionmodelenergyexplicitgroundmasslessspin-bosonstate
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We provide an explicit combinatorial expansion for the ground state energy of the massless spin-Boson model as a power series in the coupling parameter. Our method uses the technique of cluster expansion in constructive quantum field theory and takes as a starting point the functional integral representation and its reduction to an Ising model on the real line with long range interactions. We prove the analyticity of our expansion and provide an explicit lower bound on the radius of convergence. We do not need multiscale nor renormalization group analysis. A connection to the loop-erased random walk is indicated.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model

    math-ph 2025-01 conditional novelty 8.0 of 10

    Infrared-divergent spin boson model loses its ground state above a finite critical coupling, proved via long range order in a dual continuum Ising model.

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