Preprints, Working Papers, ... Year : 2025

Pseudo-real quantum fields

Abstract

We introduce the concept of pseudo-reality for complex numbers. We show that this concept, applied to quantum fields, provides a unifying framework for two distinct approaches to pseudo-Hermitian quantum field theories. The first approach stems from analytically continuing Hermitian theories into the complex plane, while the second is based on constructing them from first principles. The pseudo-reality condition for bosonic fields resolves a long-standing problem with the formulation of gauge theories involving pseudo-Hermitian currents, sheds new light on the resolution of the so-called Hermiticity Puzzle, and leads to a consistent minimal coupling of pseudo-Hermitian quantum field theories to gravity. These results contribute significantly to the ongoing development of the first-principles construction of pseudo-Hermitian quantum field theories, including their formulation in curved spacetimes.

Dates and versions

hal-04917232 , version 1 (28-01-2025)

Identifiers

Cite

Maxim N Chernodub, Peter Millington, Esra Sablevice. Pseudo-real quantum fields. 2025. ⟨hal-04917232⟩
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