Skip to main content

Part of the book series: Springer Theses ((Springer Theses))

  • 299 Accesses

Abstract

In this chapter, we discuss the relation between confinement and chiral symmetry breaking in QCD using some analytical formulae connecting order parameters for confinement and the Dirac eigenmodes in the lattice QCD. We consider the Polyakov loop, its fluctuations, and the Wilson loop as the order parameters for quark-confinement. The analytical formulae indicate no direct one-to-one correspondence between confinement and chiral symmetry breaking in QCD.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. S. Gongyo, T. Iritani, H. Suganuma, Phys. Rev. D 86, 034510 (2012)

    Article  ADS  Google Scholar 

  2. T.M. Doi, H. Suganuma, T. Iritani, Phys. Rev. D 90, 094505 (2014)

    Article  ADS  Google Scholar 

  3. H. Suganuma, T.M. Doi, T. Iritani, PTEP 2016, 013B06 (2016)

    Google Scholar 

  4. S. Elitzur, Phys. Rev. D 12, 3978 (1975)

    Article  ADS  Google Scholar 

  5. J.B. Kogut, L. Susskind, Phys. Rev. D 11, 395 (1975)

    Article  ADS  Google Scholar 

  6. H.J. Rothe, Lattice Gauge Theories (World Scientific, Singapore, 2012)

    Book  MATH  Google Scholar 

  7. E. Anderson et al., LAPACK Users’ Guide, 3rd edn. (Society for Industrial and Applied Mathematics, Philadelphia, 1999)

    Book  MATH  Google Scholar 

  8. T. Iritani, H. Suganuma, PTEP 2014, 033B03 (2014)

    Google Scholar 

  9. T.M. Doi, K. Redlich, C. Sasaki, H. Suganuma, Phys. Rev. D 92, 094004 (2015)

    Article  ADS  Google Scholar 

  10. G. Boyd, J. Engels, F. Karsch, E. Laermann, C. Legeland, M. Lutgemeier, B. Petersson, Phys. Rev. Lett. 75, 4169 (1995)

    Article  ADS  Google Scholar 

  11. G. Boyd, J. Engels, F. Karsch, E. Laermann, C. Legeland, M. Lutgemeier, B. Petersson, Nucl. Phys. B 469, 419 (1996)

    Article  ADS  Google Scholar 

  12. S. Borsanyi, G. Endrodi, Z. Fodor, S.D. Katz, K.K. Szabo, JHEP 1207, 056 (2012)

    Article  ADS  Google Scholar 

  13. F.R. Brown, F.P. Butler, H. Chen, N.H. Christ, Z. Dong, W. Schaffer, Leo I. Unger and Alessandro Vaccarino. Phys. Rev. Lett. 65, 2491 (1990)

    Article  ADS  Google Scholar 

  14. R.D. Pisarski, F. Wilczek, Phys. Rev. D 29, 338 (1984)

    Article  ADS  Google Scholar 

  15. E. Laermann, O. Philipsen, Ann. Rev. Nucl. Part. Sci. 53, 163 (2003)

    Article  ADS  Google Scholar 

  16. A. Bazavov, T. Bhattacharya, M. Cheng, C. DeTar, H.T. Ding, S. Gottlieb, R. Gupta, P. Hegde et al., Phys. Rev. D 85, 054503 (2012)

    Article  ADS  Google Scholar 

  17. A. Bazavov et al., HotQCD collaboration. Phys. Rev. D 90, 094503 (2014)

    Article  ADS  Google Scholar 

  18. P.M. Lo, B. Friman, O. Kaczmarek, K. Redlich, C. Sasaki, Phys. Rev. D 88, 014506 (2013)

    Article  ADS  Google Scholar 

  19. P.M. Lo, B. Friman, O. Kaczmarek, K. Redlich, C. Sasaki, Phys. Rev. D 88, 074502 (2013)

    Article  ADS  Google Scholar 

  20. M. Creutz, K.J.M. Moriarty, Phys. Rev. D 26, 2166 (1982)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Takahiro Doi .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte. Ltd

About this chapter

Cite this chapter

Doi, T. (2017). Relation Between Confinement and Chiral Symmetry Breaking. In: Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-6596-5_2

Download citation

Publish with us

Policies and ethics