### Abstract

In a world with exact SU_{N} symmetry Veneziano has proposed a topological expansion in terms of the small dimensionless parameter 1 N^{2}. We relate this convergence factor to the density of hadronic states. The weakness of higher-order corrections (i.e., 1 N^{2}) 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.

Original language | English (US) |
---|---|

Pages (from-to) | 212-223 |

Number of pages | 12 |

Journal | Annals of Physics |

Volume | 105 |

Issue number | 1 |

DOIs | |

State | Published - 1977 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Annals of Physics*,

*105*(1), 212-223. https://doi.org/10.1016/0003-4916(77)90233-0

**A statistical-weight interpretation for the 1 N2 convergence factors of the topological expansion.** / Chew, G. F.; Rosenzweig, Carl.

Research output: Contribution to journal › Article

*Annals of Physics*, vol. 105, no. 1, pp. 212-223. https://doi.org/10.1016/0003-4916(77)90233-0

}

TY - JOUR

T1 - A statistical-weight interpretation for the 1 N2 convergence factors of the topological expansion

AU - Chew, G. F.

AU - Rosenzweig, Carl

PY - 1977

Y1 - 1977

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=49449119860&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49449119860&partnerID=8YFLogxK

U2 - 10.1016/0003-4916(77)90233-0

DO - 10.1016/0003-4916(77)90233-0

M3 - Article

AN - SCOPUS:49449119860

VL - 105

SP - 212

EP - 223

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

IS - 1

ER -