Relativistic Quantum Mechanics and Field Theory

Abstract

The problems which arise for a relativistic quantum mechanics are reviewed and critically examined in connection with the foundations of quantum field theory. The conflict between the quantum mechanical Hilbert space structure, the locality property and the gauge invariance encoded in the Gauss' law is discussed in connection with the various quantization choices for gauge fields

33 pages, Invited talk al the Conference "Present Problems of Theoretical Physics", Vietri April 11-16 (2003)

References in corpus (4)

• Quantum delocalization of the electric charge
• Mathematical structure of the temporal gauge
• Charge density and electric charge in quantum electrodynamics
• The QED(0+1) model and a possible dynamical solution of the strong CP problem

Cited by in corpus (11)

• Entanglement in indistinguishable particle systems
• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• Entanglement in fermion systems and quantum metrology
• Relativistic diffusion processes and random walk models
• Quantum Fluctuations in Mesoscopic Systems
• Entanglement in Algebraic Quantum Mechanics: Majorana fermion systems
• Local quanta, unitary inequivalence, and vacuum entanglement
• A study of local and non-local spatial densities in quantum field theory
• Quantum Supermaps are Characterized by Locality
• Entanglement and algebraic independence in fermion systems
• Moving unstable particles and special relativity