Weak Gravity Conjecture for the Effective Field Theories with N Species

Abstract

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 $\lambda {\varphi }_i^4$, $i=1,...,N$. This conjecture implies that the assisted chaotic inflation or N-flation might be in the swampland, not in the landscape. Similarly a UV cutoff $\Lambda =g{M}_p/\sqrt{N}$ is conjectured for the U(1) gauge theory with $N$ species.

12 pages; refs added and some statements clarified

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Cited by in corpus (12)

• Natural Inflation and Quantum Gravity
• UV-Protected Inflation
• Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections
• Simple Bounds from the Perturbative Regime of Inflation
• Large Non-Gaussianity Implication for Curvaton Scenario
• N-vaton
• Spectral Index in Curvaton Scenario
• Theoretical Limits on Agegraphic Quintessence from Weak Gravity Conjecture
• Scale dependence of $f_{NL}$ in N-flation
• Infinite statistics, symmetry breaking and combinatorial hierarchy
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Phase Diagram for Nflation