Boson expansion methods in (1+1)-dimensional light-front QCD
- Institute of Physics, University of Tokyo, Komaba, Meguro-ku, Tokyo 153 (Japan)
We derive a bosonic Hamiltonian from two-dimensional QCD on the light front. To obtain the bosonic theory we find that it is useful to apply the boson expansion method which is the standard technique in quantum many-body physics. We introduce bilocal boson operators to represent the gauge-invariant quark bilinears and then local boson operators as the collective states of the bilocal bosons. If we adopt the Holstein-Primakoff type among various representations, we obtain a theory of infinitely many interacting bosons, whose masses are the eigenvalues of the {close_quote}t Hooft equation. In the large {ital N} limit, since the interaction disappears and the bosons are identified with mesons, we obtain a free Hamiltonian with infinite kinds of mesons. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 286856
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 4 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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