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Singularity Free Direct calculation of spontaneous mass generation 00150912 青木, 健一 00150912 Aoki, Kenichi Kobayashi, Tamao Kumamoto, Shin-Ichiro Onai, Shinnosuke spontaneous symmetry breakdown chiral symmetry mass generation QCD We propose a new iterative method to directly calculate the spontaneous mass generation. It is regarded as a new regularization method resembling the finite volume calculation which assures non-negative fluctuation property at every stage. We work with the Nambu–Jona-Lasinio model and the strong coupling gauge theory where the dynamical chiral symmetry breaking occurs. We are able to conclude the physical mass definitely without encountering any singularity nor recourse to any additional consideration like the free energy comparison. However in special case of the 1st order phase transition, we find that the iterative method has a chance to go wrong. 2017 Institute of Science and Engineering, Kanazawa University 2017 2018-07-03 eng departmental bulletin paper VoR https://doi.org/10.24517/00051445 http://hdl.handle.net/2297/00051445 https://kanazawa-u.repo.nii.ac.jp/records/45106 10.24517/00051445 http://scirep.w3.kanazawa-u.ac.jp/ 2433-040X The Science Reports of Kanazawa University The Science Reports of Kanazawa University 61 1 23 https://kanazawa-u.repo.nii.ac.jp/record/45106/files/Sci_Rep_61-1-23.pdf application/pdf 3.7 MB 2018-07-03