Weak gravity conjecture for effective field theories withNspecies

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 Λ = λ/NM p for N scalar fields with the same potential λφ 4 i , 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 Λ = gM p / √ N is conjectured for the U(1) gauge theory with N species.

Large non-Gaussianity implication for curvaton scenario

“…One is that maybe we miss some order-one coefficients in (35) and (41), and then the bound in (44) should be modified to be a little looser or more stringent. But the order of magnitude of our result can be trusted.…”

“…where Λ G = M p / √ N is the gravity scale for N species [44,45]. In [44] we gave several examples to support that the variation of each inflaton should be less than Λ G in the assisted inflation model.…”

“…In [44] we gave several examples to support that the variation of each inflaton should be less than Λ G in the assisted inflation model. If so, the multi-field inflation cannot help us to release the constraint on the slow-roll parameter ǫ H .…”

“…here we take (44) and (50) into account. If |∆φ|/M p < 1 for ∆N e = 50, f N L < ∼ 123 which is roughly saturated the experiment bound.…”

Power of black hole physics: seeing through the vacuum landscape

“…[53] appeared, which discusses some constraints on φ 4 -inflation in the presence of species from a different perspective.…”