Skip to main content
Log in

Ab-initio Hamiltonian approach to light nuclei and to quantum field theory

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

Nuclear structure physics is on the threshold of confronting several long-standing problems such as the origin of shell structure from basic nucleon-nucleon and three-nucleon interactions. At the same time those interactions are being developed with increasing contact to QCD, the underlying theory of the strong interactions, using effective field theory. The motivation is clear — QCD offers the promise of great predictive power spanning phenomena on multiple scales from quarks and gluons to nuclear structure. However, new tools that involve non-perturbative methods are required to build bridges from one scale to the next. We present an overview of recent theoretical and computational progress with a Hamiltonian approach to build these bridges and provide illustrative results for the nuclear structure of light nuclei and quantum field theory.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P Sternberg, E G Ng, C Yang, P Maris, J P Vary, M Sosonkina and H V Le, in: Proceedings of the 2008 ACM/IEEE Conference on Supercomputing (Austin, Texas, November 15–21, 2008); Conference on High Performance Networking and Computing (IEEE Press, Piscataway, NJ) 1–12, doi= http://doi.acm.org/10.1145/1413370.1413386.

  2. M Sosonkina, A Sharda, A Negoita and J P Vary, Lecture notes in computer science edited by M Bubak, G D V Albada, J Dongarra and P M A Sloot, Vol. 5101, pp. 833–842 (2008)

  3. J P Vary, P Maris, E Ng, C Yang and M Sosonkina, J. Phys.: Conf. Ser. 180, 12083 (2009) doi:10.1088/1742-6596/180/1/012083; arXiv:nucl-th 0907.0209

    Article  ADS  Google Scholar 

  4. P Navrátil, J P Vary and B R Barrett, Phys. Rev. Lett. 84, 5728 (2000); Phys. Rev. C62, 054311 (2000)

    Article  ADS  Google Scholar 

  5. P Maris, J P Vary and A M Shirokov, Phys. Rev. C79, 014308 (2009), nuclth/0808.3420

    ADS  Google Scholar 

  6. P Navrátil, V G Gueorguiev, J P Vary, W E Ormand and A Nogga, Phys. Rev. Lett. 99, 042501 (2007), nucl-th/0701038

    Article  ADS  Google Scholar 

  7. A M Shirokov, J P Vary, A I Mazur and T A Weber, Phys. Lett. B644, 33 (2007), nucl-th/0512105

    ADS  Google Scholar 

  8. S Vaintraub, N Barnea and D Gazit, Phys. Rev. C79, (2009) 065501, arXiv:0903.1048

    ADS  Google Scholar 

  9. For a review, see S J Brodsky, H C Pauli and S S Pinsky, Phys. Rep. 301, 299 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  10. J P Vary, P Maris, A M Shirokov, H Honkanen, J Li, S J Brodsky, A Harindranath and G F de Teramond, 10th Conference on the Intersections of Particle and Nuclear Physics edited by Marvin L Marshak, AIP Conf. Proc. 1182, 917 (2009)

  11. J P Vary, H Honkanen, J Li, P Maris, S J Brodsky, A Harindranath, G F de Teramond, P Sternberg, E G Ng and C Yang, Phys. Rev. C81, 035205 (2010), arXiv:0905.1411

    ADS  Google Scholar 

  12. A Karch, E Katz, D T Son and M A Stephanov, Phys. Rev. D74, 015005 (2006)

    ADS  Google Scholar 

  13. J Erlich, E Katz, D T Son and M A Stephanov, Phys. Rev. Lett. 95, 261602 (2005)

    Article  ADS  Google Scholar 

  14. G F de Teramond and S J Brodsky, Phys. Rev. Lett. 102, 081601 (2009)

    Article  ADS  Google Scholar 

  15. S J Brodsky and G F de Teramond, Phys. Lett. B582, 211 (2004)

    ADS  Google Scholar 

  16. J Polchinski and M J Strassler, Phys. Rev. Lett. 88, 031601 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  17. V A Karmanov, J-F Mathiot and A V Smirnov, Phys. Rev. D77, 085028 (2008)

    ADS  Google Scholar 

  18. R J Lloyd and J P Vary, Phys. Rev. D70, 014009 (2004)

    ADS  Google Scholar 

  19. Jun Li, Light front Hamiltonian and its application in QCD, Ph.D. Thesis (Iowa State University, 2009) (unpublished)

  20. K Hornbostel, S J Brodsky and H C Pauli, Phys. Rev. D41, 3814 (1990)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. P. Vary.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vary, J.P., Honkanen, H., Li, J. et al. Ab-initio Hamiltonian approach to light nuclei and to quantum field theory. Pramana - J Phys 75, 39–49 (2010). https://doi.org/10.1007/s12043-010-0063-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-010-0063-2

Keywords

Navigation