Non-canonical quantization of electromagnetic fields and the meaning of $Z_3$

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dc.creatorCzachor, Marek
dc.date2002-01-14
dc.date2002-03-16
dc.date.accessioned2026-07-07T04:12:58Z
dc.date.available2026-07-07T04:12:58Z
dc.descriptionNon-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 $Z_3$ is found as a parameter related to wave functions of non-canonical vacua.
dc.descriptionThe 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
dc.identifierhttps://arxiv.org/abs/hep-th/0201090
dc.identifierhttp://arxiv.org/abs/hep-th/0201090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51095
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleNon-canonical quantization of electromagnetic fields and the meaning of $Z_3$
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