Title

Remark on the Potential Function of the Linear Sigma Model

Author(s)/Creator(s)

Joseph Schechter, Department of Physics, Syracuse University, Syracuse, NY
David Delphenich, Syracuse University

Document Type

Article

Date

12-8-1997

Language

English

Disciplines

Physics

Description/Abstract

It is shown that the potential functions for the ordinary linear sigma model can be divided into two topographically different types depending on whether the quantity R\equiv (m_\sigma /m_\pi)^2 is greater than or less than nine. Since the Wigner-Weyl mode (R=1) and the Nambu-Goldstone mode (R=\infty belong to different regions, we speculate that this classification may provide a generalization to the broken symmetry situation, which could be convenient for roughly characterizing different possible applications of the model. It is noted that a more complicated potential does not so much change this picture as add different new regions.

Additional Information

26 pages, 11 figures (gzipped) More information available at http://arxiv.org/abs/hep-ph/9712282

Recommended Citation

Schechter, Joseph and Delphenich, David, "Remark on the Potential Function of the Linear Sigma Model" (1997). Physics - All Scholarship. 300.
https://surface.syr.edu/phy/300

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.