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Spectral Analysis of a Charged Scalar Field Model with Cutoffs

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Title: Spectral Analysis of a Charged Scalar Field Model with Cutoffs
Other Titles: 切断の入った複素スカラー場の模型のスペクトル解析
Authors: 和田, 和幸 Browse this author
Issue Date: 24-Mar-2016
Publisher: Hokkaido University
Abstract: A quantum system of a massless charged scalar field with a self-interaction is in-vestigated. By introducing a spacial cut-off function, a Hamiltonian of the quantumsystem is realized as a linear operator on a Boson Fock space. Under certain conditions,it is proven that the Hamiltonian is bounded below, self-adjoint and has a ground statefor an arbitrary coupling constant. Moreover the Hamiltonian strongly commutes withthe total charge operator. This fact implies that the state space of the charged scalarfield is decomposed into the infinite direct sum of fixed total charge spaces. A totalcharge of an eigenstate is discussed
Conffering University: 北海道大学
Degree Report Number: 甲第12232号
Degree Level: 博士
Degree Discipline: 理学
Examination Committee Members: (主査) 教授 新井 朝雄, 教授 洞 彰人, 准教授 宮尾 忠宏
Degree Affiliation: 理学院(数学専攻)
Type: theses (doctoral)
Appears in Collections:学位論文 (Theses) > 博士 (理学)
課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)

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