TY - JOUR

T1 - Mass and scattering length inequalities in QCD and QCD-like theories

AU - Nussinov, S.

AU - Sathiapalan, B.

N1 - Funding Information:
is also grateful to J. Sucher for useful discussions. This work was supported in part by the DOE under Contract No. Ey-76-C-02-3071.

PY - 1985

Y1 - 1985

N2 - Some observations about mass and scattering length inequalities in QCD-like theories are presented. It is shown that the Weingarten mass inequality can be used to argue that global vector symmetries are unbroken in such theories. For QCD, in the limit Nc→ ∞, it is shown that Mbaryon≥ 1 2NcMmeson, provided there are at least Nc degenerate flavors of quarks. It is argued that when there are no bound states in a scattering channel, the mass inequalities can be used to derive inequalities between scattering lengths. Some rigorous inequalities for two and higher point functions for operators bilinear in currents are derived, and used to extract inequalities between quartic coupling constants.

AB - Some observations about mass and scattering length inequalities in QCD-like theories are presented. It is shown that the Weingarten mass inequality can be used to argue that global vector symmetries are unbroken in such theories. For QCD, in the limit Nc→ ∞, it is shown that Mbaryon≥ 1 2NcMmeson, provided there are at least Nc degenerate flavors of quarks. It is argued that when there are no bound states in a scattering channel, the mass inequalities can be used to derive inequalities between scattering lengths. Some rigorous inequalities for two and higher point functions for operators bilinear in currents are derived, and used to extract inequalities between quartic coupling constants.

UR - http://www.scopus.com/inward/record.url?scp=0008857917&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(85)90395-5

DO - 10.1016/0550-3213(85)90395-5

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AN - SCOPUS:0008857917

SN - 0550-3213

VL - 256

SP - 285

EP - 298

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -