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Study of hadrons using the Gaussian functional method in theO(4) linear σ model
| 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) |
| URI: | http://hdl.handle.net/2115/71149 |
| 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)
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Submitter: 今井 匠太朗
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