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Renormalization of masslessλΦ 4 theories: Asymptotic freedom and spontaneous symmetry breaking

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Zeitschrift für Physik C Particles and Fields

Abstract

The implications of both one loop and gaussian approximation to the effective potential of masslessλΦ 4 theories are analyzed. By assuming only the unavoidable existence of a regularization scheme which preserves the variational inequality, it is possible to obtain an estimate of the weak coupling ß-function with is remarkably consistent with the Coleman-Weinberg one loop calculation. Both indicate that masslessλΦ 4 theories are asymptotically free, not in contradiction with any known rigorous result. The consequences of our analysis for the Standard Model of electroweak interactions are briefly illustrated.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Catania, Catania, Italy

    V. Branchina, M. Consoli & N. M. Stivala

  2. Sezione di Catania, Instituto Nazionale di Fisica Nucleare, Corso Italia 57, I-95129, Catania, Italy

    V. Branchina, M. Consoli & N. M. Stivala

Authors
  1. V. Branchina
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  2. M. Consoli
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  3. N. M. Stivala
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Branchina, V., Consoli, M. & Stivala, N.M. Renormalization of masslessλΦ 4 theories: Asymptotic freedom and spontaneous symmetry breaking. Z. Phys. C - Particles and Fields 57, 251–266 (1993). https://doi.org/10.1007/BF01565056

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