Article Dans Une Revue Physical Review D Année : 2025

Pseudo-real quantum fields

Pseudoreal quantum fields

Résumé

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.

Fichier principal
Vignette du fichier
2501.09111v1.pdf (275.13 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04917232 , version 1 (06-06-2025)
hal-04917232 , version 2 (12-09-2025)

Licence

Identifiants

Citer

Maxim N Chernodub, Peter Millington, Esra Sablevice. Pseudo-real quantum fields. Physical Review D, 2025, 112 (6), pp.065007. ⟨10.1103/kn9t-f8vx⟩. ⟨hal-04917232v1⟩
183 Consultations
190 Téléchargements

Altmetric

Partager

  • More