IR/UV corrections to the Casimir force

TL;DR

This paper investigates how infrared and ultraviolet cutoffs affect the Casimir force, finding UV corrections are exponentially suppressed and unlikely to be experimentally detectable, even with TeV-scale quantum gravity models.

Contribution

It provides a detailed analysis of IR and UV cutoff effects on the Casimir force, highlighting the suppression of UV corrections and their experimental implications.

Findings

UV cutoff corrections are exponentially suppressed

IR cutoff corrections follow a power-law behavior

UV corrections are unlikely to be experimentally observed

Abstract

Hard momentum cutoff is used for estimating IR/UV corrections to the Casimir force. In contrast to the power-law corrections arising from the IR cutoff, one will find the UV cutoff-dependent corrections to be exponentially suppressed. As a consequence of this fact, there is no chance to detect the corrections due to UV cutoff arising for instance from the "minimum-length" scenarios even if fundamental quantum-gravity scale is taken around $\sim$ TeV (as is the case, for example, in various models with extra dimensions).