CPT/Lorentz Invariance Violation and Quantum Field Theory
Paola Arias, Ashok Das, Jorge Gamboa, Justo Lopez-Sarrion, Fernando, Mendez
TL;DR
This paper explores how noncommutative quantum field theories can explicitly break CPT and Lorentz invariance, with applications to baryogenesis and neutrino oscillations, by analyzing analogies with noncommutative harmonic oscillators.
Contribution
It constructs explicit examples of quantum field theories with CPT and Lorentz symmetry breaking based on noncommutative analogies, advancing understanding of symmetry violations.
Findings
Constructed models of noncommutative quantum fields with symmetry breaking.
Discussed implications for baryogenesis and neutrino oscillations.
Analyzed the analogy between harmonic oscillators and quantum fields.
Abstract
Analogies between the noncommutative harmonic oscillator and noncommutative fields are analyzed. Following this analogy we construct examples of quantum fields theories with explicit CPT and Lorentz symmetry breaking. Some applications to baryogenesis and neutrino oscillation are also discussed
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Applications · Algebraic and Geometric Analysis