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Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models

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  • Asao Arai
  • Daiju Funakawa

Abstract

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 the ground state of the unperturbed one. Applications of the abstract theory to models in quantum field theory are outlined.

Suggested Citation

  • Asao Arai & Daiju Funakawa, 2016. "Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-13, January.
  • Handle: RePEc:hin:jnlamp:8908413
    DOI: 10.1155/2016/8908413
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