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Study of hadrons using the Gaussian functional method in theO(4) linear σ model

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Title: Study of hadrons using the Gaussian functional method in theO(4) linear σ model
Authors: Chen, Hua-Xing Browse this author
Imai, Shotaro Browse this author
Toki, Hiroshi Browse this author
Geng, Li-Sheng Browse this author
Keywords: linear σ model
sigma and pion
Gaussian functional method
Bethe-Salpeter equation
Nambu-Goldstone theorem
finite temperature
Issue Date: Jun-2015
Publisher: IOP Publishing
Journal Title: Chinese Physics C
Volume: 39
Issue: 6
Start Page: 064103
Publisher DOI: 10.1088/1674-1137/39/6/064103
Abstract: 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.
Rights: © Copyright 2018 IOP Publishing
Type: article (author version)
Appears in Collections:高等教育推進機構 (Institute for the Advancement of Higher Education) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 今井 匠太朗

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