Universal Pattern in Quantum Gravity at Infinite Distance
2024; American Physical Society; Volume: 132; Issue: 18 Linguagem: Inglês
10.1103/physrevlett.132.181601
ISSN1092-0145
AutoresAlberto Castellano, Ignacio Ruiz, Irene Valenzuela,
Tópico(s)Noncommutative and Quantum Gravity Theories
ResumoQuantum gravitational effects become significant at a cutoff that can be much lower than the Planck scale whenever there is a large number of light fields. This is expected to occur at any perturbative limit of an effective field theory coupled to gravity, or equivalently, at infinite distance in the field space of the UV completion. In this note, we present a universal pattern that links the asymptotic variation in field space of the quantum gravity cutoff Λ_{sp} and the characteristic mass of the lightest tower of states m: (∇[over →]m/m)·(∇[over →]Λ_{sp}/Λ_{sp})=[1/(d-2)], with d the spacetime dimension. This restriction can be used to make more precise several Swampland criteria that constrain any effective field theory which can be consistently coupled to quantum gravity.
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