Massive Galileon positivity bounds
Massive Galileon positivity bounds
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巨大的伽利略正性界限
DOI：
10.1007/jhep09(2017)072
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发表时间：
2017
影响因子：
5.4
通讯作者：
Shuang
中科院分区：
文献类型：
--
作者：
C. Rham;S. Melville;A. Tolley;Shuang
如果要存在局部的、解析的Wilson UV完备化，任何带隙标量Lorentz不变场论中的EFT系数必须满足正性要求。我们将这些界限的树级散射振幅的大规模Galileon。在不破坏Galileon非重整化定理和保持Galileon环对称性的前提下，加入质量项是满足最低阶正性界的必要条件.我们进一步表明，一个谨慎的选择，连续更高的导数校正是必要的，以满足高阶正界。然后，从单独考虑树2-2级散射的角度来看，不存在对局部UV完成的阻碍。为了证明这一点，我们给出了一个明确的例子，这样的UV完成。
A bstractThe EFT coefficients in any gapped, scalar, Lorentz invariant field theory must satisfy positivity requirements if there is to exist a local, analytic Wilsonian UV completion. We apply these bounds to the tree level scattering amplitudes for a massive Galileon. The addition of a mass term, which does not spoil the non-renormalization theorem of the Galileon and preserves the Galileon symmetry at loop level, is necessary to satisfy the lowest order positivity bound. We further show that a careful choice of successively higher derivative corrections are necessary to satisfy the higher order positivity bounds. There is then no obstruction to a local UV completion from considerations of tree level 2-to-2 scattering alone. To demonstrate this we give an explicit example of such a UV completion.