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September 26, 2025Journal of High Energy Physics10 citationsOpen Access

Exploring the Link Between NLSM and Tr(Φ3) Theory Amplitudes

Circles and triangles, the NLSM and Tr(Φ3)

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Authors

NANima Arkani–HamedCFCarolina Figueiredo

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Overview

This paper connects the amplitudes of non-linear sigma model and Tr(Φ3), suggesting novel triangulation representations.

Key Points

  • The relationship between Tr(Φ3) theory and the non-linear sigma model could lead to new amplitude formulations.
  • Using shifted kinematic variables, tree-level pion amplitudes can be achieved through triangulations of surfaces.
  • An ancient correspondence between circles and triangles plays a pivotal role in understanding these amplitudes.
  • A defined 'surface-soft limit' offers potential for cancellations at the integrand level, simplifying calculations.

Cite This Study

Arkani–Hamed et al. (2025) studied this question.

synapsesocial.com/papers/68d6c671b1249cec298b1ef6https://doi.org/10.1007/jhep09(2025)189
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