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The regularization dependence on the phase diagram in the Nambu-Jona-Lasinio model Hiroaki Kohyama (CYCU) 2012.02.24 Fri @AS
1.Introduction 2.NJL model 3.Regularization 4.Phase diagram Contents
QCD phase diagram Density Temperature Hadron Quark Gluon Plasma Color Super CP? (Exp.) (Lattice) ? Model studies
current quark constituent quark Observed quark mass
gluon Shifman, Vainshtein, Zacharov, Nucl. Phys. B147 (1979) 385. Energy of Gluons? current quark constituent quark
2. NJL model
Lagrangian of NJL
Replace just a number! E. Farhi, L. Susskind, Phys. Rep. 74 (1981) 277. Contact interaction
Chiral condensate Constituent quark mass Mean Field Approximation
After a bit of algebra, Effective Potential
Regularizations Regularization Dimensional: Cutoff: Finite Potential! Divergent contribution
The condition: Stable vacuum
Chiral condensate current quark constituent quark Constituent picture in NJL
4. Phase diagram
Drawing phase diagram
Resulting phase diagram
Numerical results Diagrams with various parameter sets
Comparison with Cutoff Striking qualitative difference!
Consideration (1) Strong first order seen in the dimensional Dimensional Cutoff Due to the different shape of the potential
Consideration (2) Strong first order seen in the dimensional Because the KMT term drives first order
Summary - Drew ph. diagram - Compared results with Cutoff ones - Gave numerical considerations Further studies obviously needed (Neutron star, Color superconductivities …)
the equation of state of cold quark gluon plasmas
1 NJL model at finite temperature and chemical potential in dimensional regularization T. Fujihara, T. Inagaki, D. Kimura : Hiroshima Univ.. Alexander.
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R. Yoshiike Collaborator: K. Nishiyama, T. Tatsumi (Kyoto University)
INSTANTON AND ITS APPLICATION Nam, Seung-il Yukawa Institute for Theoretical Physics (YITP), Kyoto University, Japan YITP, Kyoto University YITP Lunch.
Lang Yu Institute of High Energy Physics, CAS collaboration with Hao Liu, Mei Huang Induced local CP violation in chiral symmetric phase and inverse magnetic.
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高密度クォーク物質における カイラル凝縮とカラー超伝導の競 合 M. Kitazawa,T. Koide,Y. Nemoto and T.K. Prog. of Theor. Phys., 108, 929(2002) 国広 悌二 ( 京大基研） 東大特別講義 2005 年 12 月 5-7 日 Ref.
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Color neutrality effects in the phase diagram of the PNJL model A. Gabriela Grunfeld Tandar Lab. – Buenos Aires - Argentina In collaboration with D. Blaschke.
Study of the QCD Phase Structure through High Energy Heavy Ion Collisions Bedanga Mohanty National Institute of Science Education and Research (NISER)
Lattice QCD at finite density
Lattice QCD (INTRODUCTION) DUBNA WINTER SCHOOL 1-2 FEBRUARY 2005.
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