论文标题

因果关系理论

Causal Effective Field Theories

论文作者

Gonzalez, Mariana Carrillo, de Rham, Claudia, Pozsgay, Victor, Tolley, Andrew J.

论文摘要

诸如单位性,因果关系和局部性之类的物理原则可以通过对威尔逊系数的允许值施加双面边界来限制一致的有效场理论(EFT)的空间。在本文中,我们认为仅低能量因果关系的要求而产生的范围,而没有吸引对紫外线物理学的任何假设。我们专注于移位对称理论,并考虑围绕均匀和球形对称背景的传播产生的边界。我们发现,低能量因果关系,即要求在EFT的有效性方面没有可分解的时间进步,它与先前从$ 2 \ rightArrow 2 $使用完整的交叉符号的散射幅度分散关系获得的紧凑型阳性约束一致产生双面界限。

Physical principles such as unitarity, causality, and locality can constrain the space of consistent effective field theories (EFTs) by imposing two-sided bounds on the allowed values of Wilson coefficients. In this paper, we consider the bounds that arise from the requirement of low-energy causality alone, without appealing to any assumptions about UV physics. We focus on shift-symmetric theories, and consider bounds that arise from the propagation around both a homogeneous and a spherically-symmetric background. We find that low-energy causality, namely the requirement that there are no resolvable time advances within the regime of validity of the EFT, produces two-sided bounds in agreement with compact positivity constraints previously obtained from $2 \rightarrow 2$ scattering amplitude dispersion relations using full crossing symmetry.

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