On-shell recursion relations for nonrelativistic effective field theories
On-shell recursion relations for nonrelativistic effective field theories
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非相对论有效场论的壳层递归关系
DOI：
10.1016/j.physletb.2021.136705
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发表时间：
2021
影响因子：
4.4
通讯作者：
T. Brauner
中科院分区：
文献类型：
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作者：
Martin A. Mojahed;T. Brauner
我们推导了具有增强软限制的非相对论有效场论(EFT)的壳层递推关系。通过解析计算具有复薛定谔类场、实标量与线性色散关系、实标量与Lifshitz型色散关系的理论中的树级散射振幅，说明了递推关系。我们的结果表明，具有局域矩阵的无间隙非相对论EFT的景观可以受到软定理的约束，并且低能矩阵的一致性类似于无质量的相对论EFT。
We derive on-shell recursion relations for nonrelativistic effective field theories (EFTs) with enhanced soft limits. The recursion relations are illustrated through analytic calculation of tree-level scattering amplitudes in theories with a complex Schrödinger-type field, real scalar with linear dispersion relation, and real scalar with Lifshitz-type dispersion relation. Our results show that the landscape of gapless nonrelativistic EFTs with localS-matrix can be constrained by soft theorems and the consistency of the low-energyS-matrix similarly to massless relativistic EFTs.