Exact operator bosonization of finite number of fermions in one space dimension | Zendy

Avinash Dhar | Zendy; Gautam Mandal | Zendy; Nemani V. Suryanarayana | Zendy

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Exact operator bosonization of finite number of fermions in one space dimension

Author(s) -

Avinash Dhar,

Gautam Mandal,

Nemani V. Suryanarayana

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/01/118

Subject(s) - bosonization , fermion , hilbert space , hamiltonian (control theory) , mathematical physics , physics , operator (biology) , mathematics , quantum mechanics , theoretical physics , biochemistry , chemistry , repressor , transcription factor , gene , mathematical optimization

We derive an exact operator bosonization of a finite number of fermions inone space dimension. The fermions can be interacting or noninteracting and canhave an arbitrary hamiltonian, as long as there is a countable basis of statesin the Hilbert space. In the bosonized theory the finiteness of the number offermions appears as an ultraviolet cut-off. We discuss implications of this forthe bosonized theory. We also discuss applications of our bosonization toone-dimensional fermion systems dual to (sectors of) string theory such as LLMgeometries and c=1 matrix model.Comment: 47 pages, 1 figure; (v2) typos correcte

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