Analysis on the Degeneracy of the Ground State in Quantum Field Models

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Bibliographic Information

Title
Analysis on the Degeneracy of the Ground State in Quantum Field Models
Other Title
  • 量子場の模型における基底状態の縮退度に関する解析
Author
船川, 大樹
University
Hokkaido University
Types of degree
博士(理学)
Grant ID
甲第12230号
Degree year
2016-03-24

Description

Axiomatic abstract formulations are presented to derive upper bounds on the degeneracy of the ground state in quantum field models including massless ones. In particular, given is a sufficient condition under which the degeneracy of the ground state of the perturbed Hamiltonian is less than or equal to the degeneracy of theground state of the unperturbed one. Applications of the abstract theory to models in quantum field theory are outlined.

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