Topological Lifshitz Phase Transition in Effective Model of QCD with Chiral Symmetry Non-restoration

Tran Huu Phat, Phung Thi Thu Ha, Nguyen Tuan Anh


The topological Lifshitz phase transition is studied systematically within an effective model of QCD, in which the chiral symmetry, broken at zero temperature, is not restored at high temperature and/or baryon chemical potential.

It is found that during phase transition the quark system undergoes a first-order transition from low density fully-gapped state to high density state with Fermi sphere which is protected by momentum-space topology. The Lifshitz phase diagram in the plane of temperature and baryon chemical potential is established.

The critical behaviors of various equations of state are determined.



Full Text:



T. Hatsuda and K. Maeda, Quantum phase transition in densed QCD, Chapter 25 of Developments in Quantum Phase Transitions, ed. by L.D.Carr (Taylor and Francis, 2010).

S. Weinberg, Phys. Rev. {bf D 9}, 3357 (1974).

L. Dolan and R. Jackiw, Phys. Rev. {bf D 9}, 3357 (1974).

N. Schupper and N. M. Shnerb, Phys. Rev. {bf E 72}, 046107 (2005).

G. Bimonte and G. Lozano, Phys. Lett. {bf B 366}, 248 (1996).

G. Dvali, A. Melfo and G. Senjanovic, Phys. Rev. Lett. {bf 75}, 4559 (1995).

G. Dvali and G. Senjanovic, Phys. Rev. Lett. {bf 74}, 5178 (1995).

P. N. Meisinger and M. C. Ogilvie, Phys. Lett. {bf B 379}, 163 (1996).

S. Chandrasekharan and N. Christ, Nucl. Phys. {bf B47}, Proc. Suppl., 527 (1996).

J. B. Kogut and D. K. Sinclair, Phys. Rev. {bf D 66}, 034505 (2002).

G. E. Volovik, The Universe in a Helium Droplet (Clarendon, Oxford, 2003).

G. E. Volovik, Quantum phase transition from topology in momentum space, Lecture Notes in Physics, Vol. 718 (Springer, Berlin, 200 ), p. 3.

I. M. Lifshitz, Sov. Phys. {bf JETP 11}, 1130 (1960).

E. M. Lifshitz, Zh. Eksp. Theor. Fiz. {bf 11}, 255 (1941).

N. Doiron-Leyrand et al., Nature 565 (2007).

D. Leboeuf et al., Nature 450, 533 (2007).

Y. Yamaji, T. A. Misawa and M. Imada, Proc. Phys. Soc. Jpn {bf 75}, 094719 (2005).

V. A. Khodel, J. W. Clark and M. V. Zverev, Phys. Rev. {bf B 78}, 075120 (2008) .

Tran Huu Phat and Nguyen Van Thu, Phys. Rev. {bf C 87}, 024321 (2013).

Tran Huu Phat, Nguyen Tuan Anh and Phung Thi Thu Ha, Phase transition patterns of nuclear matter based on extended linear sigma model, to be published in Int. J. Mod. Phys. E. (2013).

DOI: Display counter: Abstract : 146 views. PDF : 44 views.


  • There are currently no refbacks.

Editorial Office:

Communications in Physics

1st Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 024 3791 7102 


Copyright by