Summary
Thermodynamical relations in quantum field theory will be discussed. This gives a possibility to decide whether or not the interactions are renormalizable, i.e., of the first or the second kind. The renormalization procedure is elucidated by formulating the perturbational calculation. The possibility for proceeding to the non-perturbational method is also pointed out. These general considerations are applied to find out the interaction effects in the multiple production phenomena, which have been disregarded in Fermi-Landau’s statistical theory.
Riassunto
Si discutono le relazioni termodinamiche nella teoria quantistica dei campi. È offerta così la possibilità di decidere se le interazioni siano rinormalizzabili o meno, cioè se siano di prima o di seconda specie. Si illustra il procedimento di rinormalizzazione formulando il calcolo perturbativo. Si mette anche in evidenza la possibilità di procedere con metodo non perturbativo. Queste considerazioni d’indole generale si applicano alla ricerca degli effetti d’interazione nei fenomeni di produzione multipla, effetti che furono trascurati nella teoria statistica di Fermi-Landau.
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Ezawa, H., Tomozawa, Y. & Umezawa, H. Quantum statistics of fields and multiple production of mesons. Nuovo Cim 5, 810–841 (1957). https://doi.org/10.1007/BF02903206
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DOI: https://doi.org/10.1007/BF02903206