Renormalization Group Analysis of ρ-Meson Properties at Finite Density

Details Renormalization Group Analysis of ρ-Meson Properties at Finite Density Renormalization Group Analysis of ρ-Meson Properties at Finite Density

1999-05-07

arxiv.org/abs/hep-ph/9905268v3

Phys.Rev. C62 (2000) 037901

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 10 figures, revised version

Scientific paper

10.1103/PhysRevC.62.037901

We calculate the density dependence of the $\rho$-meson mass and coupling constant($g_{\rho NN}$) for $\rho$-nucleon-nucleon vertex at one loop using the lagrangian where the $\rho$-meson is included as a dynamical gauge boson of a hidden local symmetry. From the condition that thermodynamic potential should not depend on the arbitrary energy scale, renormalization scale, one can construct a renormalization group equation for the thermodynamic potential and argue that the various renormalization group coefficients are functions of the density or temperature. We calculate the $\beta$-function for $\rho$-nucleon-nucleon coupling constant ($g_{\rho NN}$) and $\gamma$-function for $\rho$-meson mass ($\gamma_{m_\rho}$). We found that the $\rho$-meson mass and the coupling constant for $g_{\rho NN}$ drop as density increases in the low energy limit.

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