Weak Gravity Conjecture for the Effective Field Theories with N Species

Details Weak Gravity Conjecture for the Effective Field Theories with N Species Weak Gravity Conjecture for the Effective Field Theories with N Species

2007-12-18

arxiv.org/abs/0712.2859v2

Phys.Rev.D77:105029,2008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; refs added and some statements clarified

Scientific paper

10.1103/PhysRevD.77.105029

We conjecture an intrinsic UV cutoff for the validity of the effective field theory with a large number of species coupled to gravity. In four dimensions such a UV cutoff takes the form $\Lambda=\sqrt{\lambda/ N}M_p$ for $N$ scalar fields with the same potential $\lambda \phi_i^4$, $i=1,...,N$. This conjecture implies that the assisted chaotic inflation or N-flation might be in the swampland, not in the landscape. Similarly a UV cutoff $\Lambda=gM_p/\sqrt{N}$ is conjectured for the U(1) gauge theory with $N$ species.

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