TY - JOUR
T1 - Quark solitons as constituents of hadrons
AU - Ellis, John
AU - Frishman, Yitzhak
AU - Hanany, Amihay
AU - Karliner, Marek
N1 - Funding Information:
One of us (J.E.) thanks the Minerva Foundation, the Weizmann Institute and Tel Aviv University for their kind hospitality during the early states of the work described here. The research of M.K. was supported in part by the Einstein Center at the Weizmann Institute and by the Basic Research Foundation administered by the Israel Academy of Sciences and Humanities and by grant No. 90-00342 from the United States—Israel Binational Science Foundation (BSF), Jerusalem, Israel. M.K. would like to thank Shimon Yankielowicz for useful discussions.
PY - 1992/9/7
Y1 - 1992/9/7
N2 - We exhibit static solutions of multi-flavour QCD in two dimensions that have the quantum numbers of baryons and mesons, constructed out of quark and anti-quark solitons. In isolation the latter solitons have infinite energy, corresponding to the presence of a string carrying the non-singlet colour flux off to spatial infinity. When Nc solitons of this type are combined, a static, finite-energy, colour singlet solution is formed, corresponding to a baryon. Similarly, static meson solutions are formed out of a soliton and an anti-soliton of different flavours. The stability of the mesons against annihilation is ensured by flavour conservation. The static solutions exist only when the fundamental fields of the bosonized lagrangian belong to U(Nc × Nf) rather than to SU(Nc) × U(Nf). Discussion of flavour-symmetry breaking requires a careful treatment of the normal-ordering ambiguity. Our results can be viewed as a derivation of the constituent quark model in QCD2, allowing a detailed study of constituent mass generation and of the heavy-quark symmetry.
AB - We exhibit static solutions of multi-flavour QCD in two dimensions that have the quantum numbers of baryons and mesons, constructed out of quark and anti-quark solitons. In isolation the latter solitons have infinite energy, corresponding to the presence of a string carrying the non-singlet colour flux off to spatial infinity. When Nc solitons of this type are combined, a static, finite-energy, colour singlet solution is formed, corresponding to a baryon. Similarly, static meson solutions are formed out of a soliton and an anti-soliton of different flavours. The stability of the mesons against annihilation is ensured by flavour conservation. The static solutions exist only when the fundamental fields of the bosonized lagrangian belong to U(Nc × Nf) rather than to SU(Nc) × U(Nf). Discussion of flavour-symmetry breaking requires a careful treatment of the normal-ordering ambiguity. Our results can be viewed as a derivation of the constituent quark model in QCD2, allowing a detailed study of constituent mass generation and of the heavy-quark symmetry.
UR - http://www.scopus.com/inward/record.url?scp=0001303913&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(92)90183-C
DO - 10.1016/0550-3213(92)90183-C
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AN - SCOPUS:0001303913
SN - 0550-3213
VL - 382
SP - 189
EP - 212
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2
ER -