K模的量子场论
The Quantum Field Theory of K-mouflage
摘要：
我们考虑的K-mouflage模型，这是K-本质理论耦合到物质。我们分析了它们的量子特性，特别是对经典拉格朗日量的量子修正。我们设置这些模型的重正化程序，并表明，K-mouflage理论涉及一个递归的建设，即每一套反条款引入新的发散量子贡献，这反过来又必须减去新的反条款。这个反项的塔可以通过递归来构造，并允许计算模型的有限重正化作用量。特别是，经典的行动是没有renormalised和有限的修正renormalised行动只包含高导算子。我们建立了一个操作标准的经典性，其中的经典行动的修正是可以忽略不计的，并表明，这是满足宇宙学和天体物理学的情况下（健康）K-mouflage模型，通过太阳系的测试。我们还发现这些模型在天体物理和宇宙学背景下是量子稳定的。然后，我们考虑可能嵌入的K-mouflage模型在紫外线完成。我们发现，健康的模型，通过太阳系的测试都违反了正性约束，这将遵循从统一的假定UV完成，这意味着这些健康的K-mouflage理论没有UV完成。然后，我们分析了它们在高能量下的行为，我们发现，经典标准是在附近的高能量碰撞，这意味着经典的K-mouflage理论可以应用在这方面得到满足。此外，随着能量的增加，经典的描述变得更加准确，这与经典化的概念是一致的。
英文摘要：
We consider K-mouflage models which are K-essence theories coupled to matter. We analyse their quantum properties and in particular the quantum corrections to the classical Lagrangian. We setup the renormalisation programme for these models and show that K-mouflage theories involve a recursive construction whereby each set of counter-terms introduces new divergent quantum contributions which in turn must be subtracted by new counter-terms. This tower of counter-terms can be constructed by recursion and allows one to calculate the finite renormalised action of the model. In particular, the classical action is not renormalised and the finite corrections to the renormalised action contain only higher derivative operators. We establish an operational criterion for classicality, where the corrections to the classical action are negligible, and show that this is satisfied in cosmological and astrophysical situations for (healthy) K-mouflage models which pass the solar system tests. We also find that these models are quantum stable around astrophysical and cosmological backgrounds. We then consider the possible embedding of the K-mouflage models in an Ultra-Violet completion. We find that the healthy models which pass the solar system tests all violate the positivity constraint which would follow from the unitarity of the putative UV completion, implying that these healthy K-mouflage theories have no UV completion. We then analyse their behaviour at high energy and we find that the classicality criterion is satisfied in the vicinity of a high energy collision implying that the classical K-mouflage theory can be applied in this context. Moreover, the classical description becomes more accurate as the energy increases, in a way compatible with the classicalisation concept.
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