Dirac Sea for Bosons. II: -- Study of the Naive Vacuum Theory for the Toy Model World Prior to Filling the Negative Energy Sea -- | Zendy

Henning B. Nielsen | Zendy; Masao Ninomiya | Zendy

Open Access

Dirac Sea for Bosons. II: -- Study of the Naive Vacuum Theory for the Toy Model World Prior to Filling the Negative Energy Sea --

Author(s) -

Henning B. Nielsen,

Masao Ninomiya

Publication year - 2005

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.113.625

Subject(s) - physics , quantization (signal processing) , fock space , boson , negative energy , fermion , second quantization , mathematical physics , theoretical physics , quantum mechanics , symmetry (geometry) , dirac sea , dirac fermion , quantum , creation and annihilation operators , statistics , geometry , mathematics

We use our previous idea, in which at first we perform a naive secondquantization of both negative and positive energy for the Klein-Gordon equationanalogous to the unfilled Dirac sea for fermions, to study as a playground thisnaive second quantization theory. It is not to be taken seriously physically inas far as it has indefinite Fock space, but it has nevertheless interestingpossibilities: Although the naive (quantization) theory represents aspontaneous breakdown of the usual CPT-symmetry, we shall show that it obeys acertain replacement for the CPT-theorem for which a proof is presented indetail.Comment: 20 pages, no figure, LaTeX; added refereces, corrected typo

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