论文标题
根据相对熵的有效现场理论
Effective field theory in light of relative entropy
论文作者
论文摘要
我们研究了两种理论之间的相对熵对有效田间理论（EFT）的限制：我们将其称为目标和参考理论。 The consequence of the non-negativity of the relative entropy is investigated by choosing some reference theories for a given target theory involving field theories, quantum mechanical models, etc. It is found that the constraints on EFTs, e.g., the single massless scalar field with the dimension-eight operator, and SMEFT dimension-eight $SU(N)$ gauge bosonic operators, are consistent with the positivity bounds from the unitarity and当重型和光场之间的相互作用产生高衍生算子时，因果关系。还研究了对爱因斯坦 - 马克斯威尔理论的约束，并从相对熵的非负性中具有更高衍生的算子。从相对熵中对此类EFT的约束在一个假设下，涉及涉及光场的高衍生算子的相互作用的扰动校正在EFT中并不主导。还讨论了这项研究对重力猜想的结果和热力学的第二定律。
We study constraints on the effective field theory (EFT) from the relative entropy between two theories: we refer to these as target and reference theories. The consequence of the non-negativity of the relative entropy is investigated by choosing some reference theories for a given target theory involving field theories, quantum mechanical models, etc. It is found that the constraints on EFTs, e.g., the single massless scalar field with the dimension-eight operator, and SMEFT dimension-eight $SU(N)$ gauge bosonic operators, are consistent with the positivity bounds from the unitarity and causality when the higher-derivative operators are generated by the interaction between heavy and light fields. The constraints on Einstein-Maxwell theory with higher-derivative operators from the non-negativity of relative entropy are also investigated. The constraints on such EFTs from the relative entropy hold under an assumption that perturbative corrections from the interaction involving higher-derivative operators of light fields are not dominant in the EFTs. The consequence of this study on the weak gravity conjecture and the second law of thermodynamics is also discussed.
