量子引力尺度与沼泽地

Alberto Castellano
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引用次数: 0

摘要

本论文研究了与爱因斯坦引力耦合的有效场论(EFTs)的量子引力截止的作用,重点是它在沼泽地计划背景下对低能的影响。第一部分回顾了弦理论在不同时空维数和不同超对称性保留量下的压缩的相关方面。第二部分采用了一种与模型无关的方法,以确定任何此类 EFT 的最大有效性机制,并将物种尺度确定为量子引力截止的自然候选尺度。我们回顾了文献中提出的各种论点,并对这一问题进行了一些新的思考。第三部分系统地研究了弦理论紧凑性中的这一框架,结果与之前的微扰和非微扰分析大体一致。我们还分析了这一概念在沼泽地计划中的各种应用,包括所谓的 "涌现 "现象。最后,在第四部分中,我们探讨了这幅图景在红外系统中的最直接影响,从而揭示了与上述能量尺度相关的有趣的普遍性质,例如其指数衰减率的精确下限,以及在模态空间无限距离角内保持的某些模式。论文包括散见于其中不同章节的新成果,这些成果未曾出现在作者的原始出版物中。
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The Quantum Gravity Scale and the Swampland
This thesis investigates the role of the quantum gravity cut-off for effective field theories (EFTs) coupled to Einstein gravity, with an emphasis on its implications at low energies within the context of the Swampland program. Part I reviews the relevant aspects of string theory compactifications in different number of spacetime dimensions and with different amounts of supersymmetry preserved. In Part II a model-independent approach is employed so as to determine the maximum regime of validity of any such EFT, identifying the species scale as the natural candidate for the quantum gravity cut-off. We review various arguments proposed in the literature as well as include several new considerations on the matter. Part III provides a systematic study of this framework in string theory compactifications, yielding significant agreement with the previous perturbative and non-perturbative analysis. We also analyze various applications of this concept within the Swampland program, including the purported phenomenon of Emergence. Finally, in Part IV we explore the most immediate implications that this picture would have in the infrared regime, thus uncovering intriguing universal properties associated to the aforementioned energy scale, such as precise lower bounds on its exponential decay rates as well as certain patterns holding within the infinite distance corners of moduli space. The thesis includes new results scattered over the different chapters therein, which have not appeared in the author's original publications.
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