Interacting quark model from bi-local soliton picture of baryon in two dimensions
作者:
Varghese John,
Govind S. Krishnaswami,
S. G. Rajeev,
期刊:
AIP Conference Proceedings
(AIP Available online 1900)
卷期:
Volume 541,
issue 1
页码: 178-189
ISSN:0094-243X
年代: 1900
DOI:10.1063/1.1328914
出版商: AIP
数据来源: AIP
摘要:
Two dimensional Quantum HadronDynamics is a bi-local gauge invariant reformulation of two dimensional QCD, introduced by one of us. The baryon arises as a topological soliton in this picture. Here we study the baryon number one sector of HadronDynamics. Starting from the soliton picture, we derive an interacting quark model, thus reconciling these two seemingly different approaches. The valence quark model arises as a variational approximation to HadronDynamics. We find a succession of better approximations to the soliton picture. The next simplest case that improves on the valence quark approximation turns out to correspond to a system of interacting valence, ‘sea’ and anti-quarks. We also obtain this ‘embellished’ quark model directly from the valence quark system through a Bogoliubov transformation. Using the solitonic point of view, we estimate the quark and anti-quark distributions of 2d QCD. We point out possible applications to the baryon structure functions measured in Deep Inelastic Scattering. ©2000 American Institute of Physics.
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