2002/01/14 by Marek Czachor, Czachor, Marek · 1 citation
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #hep-ph #hep-th #physics.atom-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/0201090
The formalism is simpler and more general if one quantizes with two harmonic oscillators (extension to massive particles is natural). Appropriate modifications are introduced, eqs. (86),(87),(93) and many other typos are corrected
openalex publication_date 2002/01/14 · arxiv created 2002/03/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Non-canonical quantization is based on certain reducible representations of canonical commutation relations. Relativistic formalism for electromagnetic non-canonical quantum fields is introduced. Unitary representations of the Poincaré group at the level of fields and states are explicitly given. Multi-photon and coherent states are introduced. Statistics of photons in a coherent state is Poissonian if an appropriately defined thermodynamic limit is performed. Radiation fields having a correct S matrix are constructed. The S matrix is given by a non-canonical coherent-state displacement operator, a fact automatically eliminating the infrared catastrophe. This, together with earlier results on elimination of vacuum and ultraviolet infinities, suggests that non-canonical quantization leads to finite field theories. Renormalization constant Z3 is found as a parameter related to wave functions of non-canonical vacua.