Constraints on the String T-Duality Propagator from the Hydrogen Atom

Understand

We investigate the implications of a string-theory modified propagator in the high-precision regime of quantum mechanics.

• In particular, we examine the situation in which string theory is compactified at the T-duality self-dual radius.
• The corresponding propagator is closely related to the one derived from the path integral duality.
• Our focus is on the hydrogen ground state energy and the $1\text{S}_{1/2}-2\text{S}_{1/2}$ transition frequency as they are the most precisely explored properties of the hydrogen atom.