The Non-Relativistic Limit of Keldysh Spinors

2025/01/08 by Jourjine, A.
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2501.04514

Abstract

Keldysh spinors obey Dirac equation, but have the negative of the Dirac action and Hamiltonian. In an example of the U(1) EM coupling, we show that, despite the sign changes, they have a well-defined non-relativistic limit resulting in quantum mechanics with the positive-definite Pauli Hamiltonian. When non-relativistic Dirac and Keldysh fields are brought to interact, we observe curious decoupling of the two fields in mass-like and vector couplings.

Related

• The Negative Action Keldysh Spinors
• Non-Relativistic Limit of the Dirac Equation
• Exact correspondence between classical and Dirac-Pauli spinors in the weak-field limit of static and homogeneous electromagnetic fields
• Revisiting nonrelativistic limits of field theory: Antiparticles
• Quantum Electrodynamics with the Pauli Term