Deconstructing the Gel'fand–Yaglom Method and Vacuum Energy from a Theory Space. (2nd June 2019)

• Record Type: Journal Article
• Authors: Kan, Nahomi; Shiraishi, Kiyoshi
• Other Names: Scarfone Antonio Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2019(2019)
• Publication Date: 2019-06-02
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2019/6579187
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : The discrete Gel'fand–Yaglom theorem was studied several years ago. In the present paper, we generalize the discrete Gel'fand–Yaglom method to obtain the determinants of mass matrices which appear in current works in particle physics, such as dimensional deconstruction and clockwork theory. Using the results, we show the expressions for vacuum energies in such various models.