Work

Many-variable identities for the dilogarithm and the dual resonance model

Year: 2013

Type: article

Abstract: The symmetrized dilogarithm L(x) satisfies certain identities containing an arbitrary number, denoted by n−3, of independent variables. It is shown that the general prescription for writing the (n − 3)-variable dilogarithm identity is closely related to that for writing the basic quantities in the n-point Veneziano amplitude of the dual resonance model, which is a physically unsuccessful model of strong interactions in particle physics. Duality transformations of n-point tree Feynman graphs of the ϕ3 theory are represented by birational transformations of n − 3 variables corresponding to the n − 3 internal lines of the tree and then the dilogarithm identities are expressed in terms of those variables. The identities can also be rewritten in a form independent of the choice of a particular tree by introducing three redundant parameters.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/pts080

Author: Noboru Nakanishi

Institutions: Kyoto University, Research Institute for Mathematical Sciences, Kyoto University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

OpenAlex ID: W2004458589