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Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space

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  • Nahomi Kan
  • Kiyoshi Shiraishi

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.

Suggested Citation

  • Nahomi Kan & Kiyoshi Shiraishi, 2019. "Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-15, June.
  • Handle: RePEc:hin:jnlamp:6579187
    DOI: 10.1155/2019/6579187
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