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Ward Identities and Integrable Differential Equations in the Ising Field Theory

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abstract

We show that the celebrated Painleve equations for the Ising correlation functions follow in a simple way from the Ward Identities associated with local Integrals of Motion of the doubled Ising field theory. We use these Ward Identities to derive the equations determining the matrix elements of the product $\sigma(x)\sigma(x')$ between any particle states. The result is then applied in evaluating the leading mass corrections in the Ising field theory perturbed by an external magnetic field.

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hep-th 1

years

2025 1

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UNVERDICTED 1

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Real-time Scattering in \phi^4 Theory using Matrix Product States

hep-th · 2025-11-19 · unverdicted · novelty 7.0

uMPS simulations of φ⁴ theory in 1+1 dimensions extract elastic scattering probabilities and time delays that diverge near the critical point, serving as a dynamical signature of the quantum phase transition.

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  • Real-time Scattering in \phi^4 Theory using Matrix Product States hep-th · 2025-11-19 · unverdicted · none · ref 16 · internal anchor

    uMPS simulations of φ⁴ theory in 1+1 dimensions extract elastic scattering probabilities and time delays that diverge near the critical point, serving as a dynamical signature of the quantum phase transition.