A Weak Gravity Conjecture for Scalar Field Theories

TL;DR

This paper extends the weak gravity conjecture to scalar field theories, proposing an upper bound on gravity interaction strength based on scalar couplings, supported by models and noncommutative theories.

Contribution

It introduces a novel extension of the weak gravity conjecture to scalar fields, linking gravity strength to scalar couplings.

Findings

Derived an upper bound on gravity interaction strength in scalar theories.

Supported the conjecture with two-dimensional models.

Validated the conjecture in noncommutative field theories.

Abstract

We show that the recently proposed weak gravity conjecture\cite{AMNV0601} can be extended to a class of scalar field theories. Taking gravity into account, we find an upper bound on the gravity interaction strength, expressed in terms of scalar coupling parameters. This conjecture is supported by some two-dimensional models and noncommutative field theories.