Weak Gravity Conjecture for Noncommutative Field Theory

Abstract

We investigate the weak gravity bounds on the U(1) gauge theory and scalar field theories in various dimensional noncommutative space. Many results are obtained, such as the upper bound on the noncommutative scale $g_{YM}{M}_p$ for four dimensional noncommutative U(1) gauge theory. We also discuss the weak gravity bounds on their commutative counterparts. For example, our result on 4 dimensional noncommutative U(1) gauge theory reduces in certain limit to its commutative counterpart suggested by Arkani-Hamed et.al at least at tree-level.

9 pages

References in corpus (3)

• A note on Gauge Theories Coupled to Gravity
• Weak gravity conjecture in the asymptotical dS and AdS background
• Some Low Dimensional Evidence for the Weak Gravity Conjecture

Cited by in corpus (4)

• Constraints on the spectral index for the inflation models in string landscape
• Eternal Chaotic Inflation is Prohibited by Weak Gravity Conjecture
• Weak Gravity Conjecture for the Effective Field Theories with N Species
• Weak Gravity Conjecture with Large Extra Dimensions