A single-particle framework for unitary lattice gauge theory in discrete time - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue New Journal of Physics Année : 2022

A single-particle framework for unitary lattice gauge theory in discrete time

Résumé

We construct a real-time lattice-gauge-theory (LGT)-type action for a spin-1/2 matter field of a single particle on a ( 1 + 1 ) -dimensional spacetime lattice. The framework is based on a discrete-time quantum walk, and is hence inherently unitary and strictly local, i.e. transition amplitudes exactly vanish outside of a lightcone on the lattice. We then provide a lattice Noether’s theorem for internal symmetries of this action. We further couple this action to an electromagnetic field by a minimal substitution on the lattice. Finally, we suggest a real-time LGT-type action for the electromagnetic field in arbitrary spacetime dimensions, and derive its classical equations of motion, which are lattice versions of Maxwell’s equations.

Dates et versions

hal-03938320 , version 1 (13-01-2023)

Identifiants

Citer

Pablo Arnault, Christopher Cedzich. A single-particle framework for unitary lattice gauge theory in discrete time. New Journal of Physics, 2022, 24 (12), pp.123031. ⟨10.1088/1367-2630/acac47⟩. ⟨hal-03938320⟩
19 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More