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.
Zinn-Justin,Quantum field theory and critical phenomena, Vol
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BPS lumps in the nonminimal CP1 Maxwell-Chern-Simons model carry quantized magnetic flux and nontrivial electric polarization fixed by the gauge field asymptotics and target-space geometry.
Derives a novel two-point deterministic equivalence for random matrix resolvents to obtain unified asymptotics for SGD-trained linear regression, kernel regression, and random feature models.
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Strong-coupling expansion and two-point Pad\'e approximation for lattice $\phi^4$ field theory
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.
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BPS lumps in the Nonminimal $CP^1$ Maxwell-Chern-Simons Model
BPS lumps in the nonminimal CP1 Maxwell-Chern-Simons model carry quantized magnetic flux and nontrivial electric polarization fixed by the gauge field asymptotics and target-space geometry.
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Two-Point Deterministic Equivalence for Stochastic Gradient Dynamics in Linear Models
Derives a novel two-point deterministic equivalence for random matrix resolvents to obtain unified asymptotics for SGD-trained linear regression, kernel regression, and random feature models.