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arxiv: 1307.3689 · v2 · submitted 2013-07-14 · ✦ hep-th · hep-ph· math-ph· math.MP

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Two Point Pade Approximants and Duality

Tom Banks , T.J. Torres
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classification ✦ hep-th hep-phmath-phmath.MP
keywords approximantscouplingdualityexpressionspadepointstrongweak
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We propose the use of two point Pade approximants to find expressions valid uniformly in coupling constant for theories with both weak and strong coupling expansions. In particular, one can use these approximants in models with a strong/weak duality, when the symmetries do not determine exact expressions for some quantity.

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  1. Strong-coupling expansion and two-point Pad\'e approximation for lattice $\phi^4$ field theory

    hep-lat 2026-04 unverdicted novelty 7.0

    Two-point Padé approximants that interpolate weak- and strong-coupling expansions produce accurate global approximations to the two-point correlation function in lattice φ⁴ theory over wide coupling ranges.