Large-[ital N] chiral field in two dimensions

We present the exact and explicit solution of the principle chiral field model in two dimensions for infinitely large rank group. In particular we show that in the large-[ital N] limit the spectrum of the theory does not contain pointlike particles. The energy of the ground state as a function of ex...

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Veröffentlicht in:Physical review letters 1994-09, Vol.73:13
Hauptverfasser: Fateev, V.A., Kazakov, V.A., Wiegmann, P.B.
Format: Artikel
Sprache:eng
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Zusammenfassung:We present the exact and explicit solution of the principle chiral field model in two dimensions for infinitely large rank group. In particular we show that in the large-[ital N] limit the spectrum of the theory does not contain pointlike particles. The energy of the ground state as a function of external Noether'' field and the beta function are explicitly found. The nonperturbative threshold behavior near the mass gap [ital m] is [ital f]([ital h])[similar to]([ital h][minus][ital m])/ln([ital h][minus][ital m]), exhibiting a similarity with the 1D bosonic string theory.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.73.1750