2n-Dimensional Models with Topological Mass Generation

TL;DR

This paper generalizes a 4-dimensional topological mass generation model to higher even dimensions, introduces new models with Stueckelberg mass terms, and discusses implications for pseudoscalar meson mass generation.

Contribution

It extends the 4D topological mass generation model to 2n dimensions and proposes new models incorporating Stueckelberg mass terms.

Findings

Generalization of the topological mass generation to 2n dimensions

Introduction of new models with Stueckelberg mass terms

Discussion on pseudoscalar meson mass generation

Abstract

The 4-dimensional model with topological mass generation that has recently been presented by Dvali, Jackiw and Pi [G. Dvali, R. Jackiw, and S.-Y. Pi, Phys. Rev. Lett. 96, 081602 (2006), hep-th/0610228] is generalized to any even number of dimensions. As in the 4-dimensional model, the 2n-dimensional model describes a mass-generation phenomenon due to the presence of the chiral anomaly. In addition to this model, new 2n-dimensional models with topological mass generation are proposed, in which a Stueckelberg-type mass term plays a crucial role in the mass generation. The mass generation of a pseudoscalar field such as the eta-prime meson is discussed within this framework.