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数理解析研究所講究録

Golden-Thompson Type Inequalities and Functional Integral Approach to Boson-Fermion Systems (スペクトル・散乱理論とその周辺 : RIMS研究集会報告集)

Asao Arai

Published Nov 1, 2015• 0 citations
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Some aspects of Golden-Thompson type inequalities for a boson system with finite degrees of freedom are reviewed.Then a general class of boson-fermion systems with finite degrees of freedom, including supersymmetric ones, is considered.Functional integral representations for the partition function as well as related objects of a boson- fermion system are derived and applied to obtain Golden-Thompson type inequalities.The present article is intended to be a review paper, but, includes new results which are extensions of some results obtained in a previous paper (A.Arai, Rev. Math.

•Nov 1, 2015•0 citations
Some aspects of Golden-Thompson type inequalities for a boson system with finite degrees of freedom are reviewed.Then a general class of boson-fermion systems with finite degrees of freedom, including supersymmetric ones, is considered.Functional integral representations for the partition function as well as related objects of a boson- fermion system are derived and applied to obtain Golden-Thompson type inequalities.The present article is intended to be a review paper, but, includes new results which are extensions of some results obtained in a previous paper (A.Arai, Rev. Math.