Lips: p-adic and singular phase space

Giuseppe De Laurentis

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arXiv · 2305.14075

Lips: p-adic and singular phase space

Giuseppe De Laurentis

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Abstract

I present new features of the open-source Python package lips, which leverages the newly developed pyadic and syngular libraries. These developments enable the generation and manipulation of massless phase-space configurations beyond real kinematics, defined in terms of four-momenta or Weyl spinors, not only over complex numbers ($\mathbb{C}$), but now also over finite fields ($\mathbb{F}_p$) and p-adic numbers ($\mathbb{Q}_p$). The package also offers tools to evaluate arbitrary spinor-helicity expressions in any of these fields. Furthermore, using the algebraic-geometry submodule, which utilizes Singular [1] through the Python interface syngular, one can define and manipulate ideals in spinor variables, enabling the identification of irreducible surfaces where scattering amplitudes have well-defined zeros and poles. As an example application, I demonstrate how to infer valid partial-fraction decompositions from numerical evaluations.

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Giuseppe De Laurentis. 2023-05-23. Lips: p-adic and singular phase space. https://arxiv.org/abs/2305.14075

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