A Natural Mechanism for Gauge Hierarchies by Non-Perturbative Effects : Particles and Fields

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概要

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• A system with the local gauge invariance is investigated in which the Higgs scalar field φ interacts with the classical gauge field A_μ. The effective Lagrangian ℒ_<eff>(A_μ) of the gauge field is obtained in an approximate but analytic form by integrating all the quantum effects of φ. The ℒ_<eff>(A_μ) consists of two parts: one is the perturbative part ℒ_p(A_μ) obtained by the usual loop expansion and the other the non-perturbative one ℒ_<NP>(A_μ) on the background configuration in which the field φ fluctuates violently. It is shown that the gauge field A_μ acquires the hierarchically small mass generated by the non-perturbative quantum effects of φ, if the potential U(φ) of the Higgs scalar φ has a local minimum at |φ| =⃥0 in addition to the global one at φ=0.

• 理論物理学刊行会の論文
• 1986-08-25

著者

• Umemura Isao

  Department Of Nuclear Engineering Faculty Of Engineering Kyoto University

• TABATA Kenzi

  Department of Nuclear Engineering, Kyoto University

• Tabata K

  Kyoto Univ. Kyoto Jpn

• Tabata Kenzi

  Department Of Nuclear Engineering Kyoto University

• Tabata Kenji

  Department Of Applied Chmistry Faculty Of Engineering University Of Miyazaki

• UEMURA Isao

  Department of Nuclear Engineering Kyoto University

• UMEMURA Isao

  Department of Nuclear Engineering, Faculty of Engineering Kyoto University

• Tabata Kenji

  Department of Nuclear Engineering, Kyoto University

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