@article{30f94686edf7436d88076bf8c75835e8,

title = "A statistical-weight interpretation for the 1 N2 convergence factors of the topological expansion",

abstract = "In a world with exact SUN symmetry Veneziano has proposed a topological expansion in terms of the small dimensionless parameter 1 N2. We relate this convergence factor to the density of hadronic states. The weakness of higher-order corrections (i.e., 1 N2) is interpreted as reflecting the small proportion of states that can flow through a {"}cylinder.{"} States that communicate with the cylinder may be strongly affected thereby, but the number of such states is relatively small.",

author = "Chew, {G. F.} and C. Rosenzweig",

note = "Funding Information: With SU,” internal symmetry, successivec omponents of Veneziano{\textquoteright}s topological expansion in orientable two-dimensional surfaces have been shown to carry factors ( I /N2)“, where h is the number of handles [l]. A mnemonic for this rule is to visualize a handle as a cylinder whose two ends are internally attached to the two-dimensional surface and to characterize the coupling of each cylinder end as carrying a factor l/N. In the first part of this paper we point out that this l/N2 cylinder coupling reflects nothing more than the statement that SU,,,-singletsa re the only representations allowed to “flow” along the cylinder. That is, the IiN? convergence of the topological expansion is a consequenceo f the low relative probability of states that communicate with the cylinder (or with handles). Such a line of thought is helpful when contemplating the real hadronic world where SU,” symmetry is badly broken for N :-2 but where * This work was supported in part by the U. S. Energy Research and Development Administration and in part by the National Science Foundation under grant No. MPS75-14073, University of Pittsburgh. 1 Address after September I, 1976: Department of Physics, Syracuse University, Syracuse, New York 13210.",

year = "1977",

month = may,

doi = "10.1016/0003-4916(77)90233-0",

language = "English (US)",

volume = "105",

pages = "212--223",

journal = "Annals of Physics",

issn = "0003-4916",

publisher = "Academic Press Inc.",

number = "1",

}