论文标题
极端有效的领域理论
Extremal Effective Field Theories
论文作者
论文摘要
有效的场理论（EFT）参数化了短途动态的长距离效应，其细节可能是或未知道的。众所周知，如果在所有尺度上满足因果关系和单位性，则EFT系数必须遵守某些阳性限制。我们从2至2个散射幅度的散射幅度的角度探索了这些约束，使用半准编程来雕刻给定质量阈值的允许的EFT系数的空间。我们指出，所有EFT参数均在下面和上面有界限，有效地显示了该尺寸分析量表的量表。这包括四个衍生相互作用的系数。我们提出了简单的极端振幅，这些振幅实现或“规则”在系数空间中扭结，并且其凸面船体占允许空间的很大一部分。
Effective field theories (EFT) parameterize the long-distance effects of short-distance dynamics whose details may or may not be known. It is known that EFT coefficients must obey certain positivity constraints if causality and unitarity are satisfied at all scales. We explore those constraints from the perspective of 2 to 2 scattering amplitudes of a light real scalar field, using semi-definite programming to carve out the space of allowed EFT coefficients for a given mass threshold M. We point out that all EFT parameters are bounded both below and above, effectively showing that dimensional analysis scaling is a consequence of causality. This includes the coefficients of four- and six-derivative interactions. We present simple extremal amplitudes which realize, or "rule in", kinks in coefficient space and whose convex hull span a large fraction of the allowed space.
