Summary and Outlook

Chapter
First Online:
Part of the Springer Theses book series (Springer Theses)

Abstract

In this chapter, we summarize our thesis and show outlook. We analytically and numerically investigate the relation between non-perturbative phenomena based on the lattice QCD formalism. The main conclusion is that there is no direct one-to-one correspondence between confinement and chiral symmetry breaking in QCD. This result suggests the existence of a new phase where quarks are confined but chiral symmetry is restored.

Keywords

Confinement Chiral symmetry breaking QCD phase diagram Sign problem 
This is a preview of subscription content, log in to check access.

References

  1. 1.
    N. Yamanaka, T.M. Doi, S. Imai, H. Suganuma, Phys. Rev. D 88, 074036 (2013)ADSCrossRefGoogle Scholar
  2. 2.
    N. Yamanaka, S. Imai, T.M. Doi, H. Suganuma, Phys. Rev. D 89, 074017 (2014)ADSCrossRefGoogle Scholar
  3. 3.
    S. Ejiri, F. Karsch, K. Redlich, Phys. Lett. B 633, 275 (2006)ADSCrossRefGoogle Scholar
  4. 4.
    C. Schmidt, BNL-Bielefeld Collaboration, Nucl. Phys. A 904–905, 865c (2013)Google Scholar
  5. 5.
    C. Sasaki, Nucl. Phys. A 931, 238 (2014)ADSCrossRefGoogle Scholar
  6. 6.
    H. Suganuma, T. Tatsumi, Ann. Phys. 208, 470 (1991); Prog. Theor. Phys. 90, 379 (1993)Google Scholar
  7. 7.
    E.Y. Loh, J.E. Gubernatis, R.T. Scalettar, S.R. White, D.J. Scalapino, R.L. Sugar, Phys. Rev. B 41, 9301 (1990)ADSCrossRefGoogle Scholar
  8. 8.
    W. von der Linden, Phys. Rep. 220, 53 (1992)ADSCrossRefGoogle Scholar
  9. 9.
    S. Muroya, A. Nakamura, C. Nonaka, T. Takaishi, Prog. Theor. Phys. 110, 615 (2003)ADSCrossRefGoogle Scholar
  10. 10.
    P. de Forcrand, PoS LAT2009 010 (2009)Google Scholar
  11. 11.
    E. Seiler, D. Sexty, I.-O. Stamatescu, Phys. Lett. B 723, 213 (2013)ADSCrossRefGoogle Scholar
  12. 12.
    M. Cristoforetti, F. Di Renzo, L. Scorzato, Phys. Rev. D 86, 074506 (2012)ADSCrossRefGoogle Scholar
  13. 13.
    H. Fujii, D. Honda, M. Kato, Y. Kikukawa, S. Komatsu, T. Sano, JHEP 1310, 147 (2013)ADSCrossRefGoogle Scholar
  14. 14.
    K. Nagata, J. Nishimura, S. Shimasaki, PTEP 2016, 013B01 (2016)Google Scholar
  15. 15.
    S. Tsutsui, T.M. Doi, Phys. Rev. D 94, 074009 (2016)ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte. Ltd 2017

Authors and Affiliations

  1. 1.Nishina CenterRIKENSaitamaJapan

Personalised recommendations