Download presentation

Presentation is loading. Please wait.

Published byMadalynn Factor Modified about 1 year ago

1
The regularization dependence on the phase diagram in the Nambu-Jona-Lasinio model Hiroaki Kohyama (CYCU) 2012.02.24 Fri @AS

2
1.Introduction 2.NJL model 3.Regularization 4.Phase diagram Contents

3
QCD phase diagram Density Temperature Hadron Quark Gluon Plasma Color Super CP? (Exp.) (Lattice) ? Model studies

4
current quark constituent quark Observed quark mass

5
gluon Shifman, Vainshtein, Zacharov, Nucl. Phys. B147 (1979) 385. Energy of Gluons? current quark constituent quark

6
2. NJL model

7
Lagrangian of NJL

8
Replace just a number! E. Farhi, L. Susskind, Phys. Rep. 74 (1981) 277. Contact interaction

9
Chiral condensate Constituent quark mass Mean Field Approximation

10
After a bit of algebra, Effective Potential

11
Regularizations Regularization Dimensional: Cutoff: Finite Potential! Divergent contribution

12
Model parameters

13
Parameter sets

14
The condition: Stable vacuum

15
Chiral condensate current quark constituent quark Constituent picture in NJL

16
4. Phase diagram

17
Constituent mass

18
Drawing phase diagram

19
Resulting phase diagram

20
Numerical results Diagrams with various parameter sets

21
Comparison with Cutoff Striking qualitative difference!

22
Consideration (1) Strong first order seen in the dimensional Dimensional Cutoff Due to the different shape of the potential

23
Consideration (2) Strong first order seen in the dimensional Because the KMT term drives first order

24
Summary - Drew ph. diagram - Compared results with Cutoff ones - Gave numerical considerations Further studies obviously needed (Neutron star, Color superconductivities …)

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google