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arXiv · 2610.04148

Sequential exponential-motivic periods in spatially cut-off $ϕ^4_2$

Juan Carlos Sampedro
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Abstract

We represent constructive integrals in spatially cut-off $ϕ^4_2$ by sequences of exponential-motivic periods. For a nonzero spatial cutoff, a single Galois transformation makes the partition periods diverge in modulus along every sequence of approximations satisfying the constructive estimates. For a fixed cutoff presentation, we characterize the subgroup of transformations admitting a bounded realization on the free field's $L^1$ space and prove that all fixed-observable limits on this subgroup are a common scalar multiple of their physical values. A one-variable quartic example shows that all transformed fixed-observable sequences can converge without such a bounded realization, with limits that are not proportional to the physical values.

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BibTeXRIS

Juan Carlos Sampedro. 2026-10-02. Sequential exponential-motivic periods in spatially cut-off $ϕ^4_2$. https://arxiv.org/abs/2610.04148

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