A nonperturbative stability theory of quantum field theory models |
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| Authors: | R. Rczka |
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| Affiliation: | 1. International School for Advanced Studies (SISSA), Trieste, Italy;2. Institute for Nuclear Studies, Warsaw, Poland;1. Department of Mathematics, Faculty of Science and Arts – Khulais, King Abdulaziz University, Jeddah, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt;1. Department of Mathematical and Physical Sciences, Nizwa University, Nizwa -611, P.O. Box 1357, Oman;2. Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt |
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| Abstract: | A nonperturbative method of analysis of the stability problem of quantum field theory models is proposed. The method consists in the systematic analysis of the functional dependence on boson field B of the effective boson Lagrangian Seff(B) consisting of the fermion term SlF(B), constraint term SlFP(B) and the boson self-interaction term Sl(B). A new heat kernel representation for SlF(B) is derived in which counterterms are calculated in the explicit functional form by means of the analytic renormalization method. Using these results the instabillity of Yukawa4, four-Fermi4, and the massive Gürsey models is demonstrated. |
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