SuperPlanckian spatial field variations and quantum gravity
Abstract
We study scenarios where a scalar field has a spatially varying vacuum expectation value such that the total field variation is superPlanckian. We focus on the case where the scalar field controls the coupling of a U(1) gauge field, which allows us to apply the Weak Gravity Conjecture to such configurations. We show that this leads to evidence for a conjectured property of quantum gravity that as a scalar field variation in field space asymptotes to infinity there must exist an infinite tower of states whose mass decreases as an exponential function of the scalar field variation. We determine the rate at which the mass of the states reaches this exponential behaviour showing that it occurs quickly after the field variation passes the Planck scale.
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2017
 DOI:
 10.1007/JHEP01(2017)088
 arXiv:
 arXiv:1610.00010
 Bibcode:
 2017JHEP...01..088K
 Keywords:

 Models of Quantum Gravity;
 Superstring Vacua;
 Black Holes;
 Effective field theories;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 10pp