2013/09/30 by Hua-Xing Chen, Shotaro Imai, H. Toki +3 · 2 citations
Mathematics · Physics and Astronomy · #Chiral symmetry breaking #Coupling constant #Field (mathematics) #Gaussian #Hadron #High-Energy Particle Collisions Research #Limit (mathematics) #Mathematical analysis #Mathematics #Mean field theory #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Symmetry breaking #Wave function #nucl-th
paper · pdf · doi:10.1088/1674-1137/39/6/064103
published in Chinese Physics C 39(6), 064103 (IOP Publishing) · 14 pages, 18 figures, submitted to Chinese Physics C
arxiv created 2014/10/27 · arxiv updated 2015/04/23 · openalex publication_date 2015/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study properties of hadrons in the O (4) linear σ model, where we take into account fluctuations of mesons around their mean field values using the Gaussian functional (GF) method. In the GF method we calculate dressed σ and π masses, where we include the effect of fluctuations of mesons to find a better ground state wave function than the mean field approximation. Then we solve the Bethe-Salpeter equations and calculate physical σ and π masses. We recover the Nambu-Goldstone theorem for the physical pion mass to be zero in the chiral limit. The σ meson is a strongly correlated meson-meson state, and seems to have a two meson composite structure. We calculate σ and π masses as functions of temperature for both the chiral limit and explicit chiral symmetry breaking case. We get similar behaviors for the physical σ and π masses as the case of the mean field approximation, but the coupling constants are much larger than the values of the case of the mean field approximation.