近日，美国布朗大学的Marcus Spradlin及其研究团队取得一项新进展。他们对有色汤川理论的表面学进行了研究。相关研究成果已于2024年9月24日在国际知名学生期刊《高能物理杂志》上发表。
据悉，阿卡尼-哈米德及其合作者最近证明，有色理论的散射振幅可以表示为对组合对象的积分，而这些组合对象仅由修饰有运动学数据的表面简单构建而成。
在本文中，研究人员将曲线积分形式扩展到含有色费米子物质的理论，并为有色尤卡瓦理论的全环、全亏格、全多重性的振幅被积函数提供了一个紧凑的公式。曲线积分形式使得振幅的某些性质显而易见，并将非平凡的分子重新组合成一个单一的组合对象。研究人员还基于2L个组合行列式之和，为L环积分振幅提供了一个高效的公式。
附：英文原文
Title: Surfaceology for colored Yukawa theory
Author: De, Shounak, Pokraka, Andrzej, Skowronek, Marcos, Spradlin, Marcus, Volovich, Anastasia
Issue&Volume: 2024-09-24
Abstract: Arkani-Hamed and collaborators have recently shown that scattering amplitudes for colored theories can be expressed as integrals over combinatorial objects simply constructed from surfaces decorated by kinematic data. In this paper we extend the curve integral formalism to theories with colored fermionic matter and present a compact formula for the all-loop, all-genus, all-multiplicity amplitude integrand of a colored Yukawa theory. The curve integral formalism makes certain properties of the amplitudes manifest and repackages non-trivial numerators into a single combinatorial object. We also present an efficient formula for L-loop integrated amplitudes in terms of a sum over 2L combinatorial determinants.
DOI: 10.1007/JHEP09(2024)160
Source: https://link.springer.com/article/10.1007/JHEP09(2024)160