Skip to main content
SpringerLink
Log in

Real-Time Lattice Simulations of Quantum Anomalies, Topologies and Particle Production in Strongly Correlated Gauge Theories

  • Conference paper
  • First Online:
High Performance Computing in Science and Engineering ' 17

  • 1219 Accesses

Abstract

We present results of numerical lattice simulations of anomalous and topological effects in Quantum Electrodynamics (QED) and Quantum Chromodynamics (QCD) in far from equilibrium situations. Based on the classical-statistical approximation to the Schwinger-Keldysh path integral formalism, we perform extensive numerical studies including dynamical Wilson and overlap fermions. Using advanced algorithmic techniques, we study the real-time dynamics of the axial anomaly relevant for strong field laser physics beyond the Schwinger limit and we observe novel dynamical refringence effects caused by the anomaly. Furthermore, motivated by recent interest in the physics of the Chiral Magnetic Effect in ultra-relativistic heavy ion collisions, we study the real time dynamics of fermions during and after a sphaleron transition and anomalous transport in the presence of strong magnetic fields.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. D.E. Kharzeev, L.D. McLerran, H.J. Warringa, Nucl. Phys. A 803, 227 (2008). arXiv:0711.0950 [hep-ph]

    Article  Google Scholar 

  2. D.E. Kharzeev, D.T. Son, Phys. Rev. Lett. 106, 062301 (2011). arXiv:1010.0038 [hep-ph]

    Article  Google Scholar 

  3. B.I. Abelev et al., [STAR Collaboration], Phys. Rev. Lett. 103, 251601 (2009). arXiv:0909.1739 [nucl-ex]

    Google Scholar 

  4. N. Mueller, S. Schlichting, S. Sharma, Phys. Rev. Lett. 117(14), 142301 (2016). arXiv:1606.00342 [hep-ph]

    Google Scholar 

  5. V. Skokov, P. Sorensen, V. Koch, S. Schlichting, J. Thomas, S. Voloshin, G. Wang, H.U. Yee, arXiv:1608.00982 [nucl-th]

    Google Scholar 

  6. D. Kharzeev, J. Liao, S. Voloshin, G. Wang, Prog. Part. Nucl. Phys. 88, 1 (2016). arXiv:1511.04050[hep-ph]

    Article  Google Scholar 

  7. J. Berges, K. Boguslavski, S. Schlichting, R. Venugopalan, Phys. Rev. D 89(11), 114007 (2014). arXiv:1311.3005 [hep-ph]

    Google Scholar 

  8. F. Gelis, N. Tanji, J. High Energy Phys. 1602, 126 (2016). arXiv:1506.03327 [hep-ph]

    Article  Google Scholar 

  9. V. Skokov, A.Y. Illarionov, V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009). arXiv:0907.1396 [nucl-th]

    Article  Google Scholar 

  10. K. Tuchin, Phys. Rev. C 88(2), 024911 (2013). arXiv:1305.5806 [hep-ph]

    Google Scholar 

  11. A.D. Sakharov, Pis’ma Zh. Eksp. Teor. Fiz. 5, 32 (1967)

    Google Scholar 

  12. A.G. Cohen, D.B. Kaplan, A.E. Nelson, Ann. Rev. Nucl. Part. Sci. 43, 27 (1993)

    Article  Google Scholar 

  13. V.A. Rubakov, M.E. Shaposhnikov, Usp. Fiz. Nauk 166, 493 (1996)

    Article  Google Scholar 

  14. N. Mueller, N. Tanji, O. Garcia, J. Berges, Real-time lattice simulations of quantum anomalies, topologies and particle production in strongly correlated gauge theories. ForHLR Phase I proposal, Nov 2015

    Google Scholar 

  15. N. Tanji, N. Mueller, J. Berges, Phys. Rev. D 93(7), 074507 (2016). arXiv:1603.03331 [hep-ph]

    Google Scholar 

  16. H.B. Nielsen, M. Ninomiya, Nucl. Phys. B 185, 20 (1981)

    Article  Google Scholar 

  17. M. Mace, N. Mueller, S. Schlichting, S. Sharma, Phys. Rev. D. 95, 036023 (2017). arXiv:1612.02477 [hep-ph]

    Article  Google Scholar 

  18. N. Mueller, F. Hebenstreit, J. Berges, Phys. Rev. Lett. 117(6), 061601 (2016). arXiv:1605.01413 [hep-ph]

    Google Scholar 

  19. F. Gelis, E. Iancu, J. Jalilian-Marian, R. Venugopalan, Ann. Rev. Nucl. Part. Sci. 60, 463 (2010). arXiv:1002.0333 [hep-ph]

    Article  Google Scholar 

  20. J. Berges, K. Boguslavski, S. Schlichting, R. Venugopalan, Phys. Rev. D 92(9), 096006 (2015). arXiv:1508.03073 [hep-ph]

    Google Scholar 

  21. A. Tranberg, J. Smit, M. Hindmarsh, Nucl. Phys. A 785, 102 (2007). hep-ph/0608167

    Article  Google Scholar 

  22. S. Borsanyi, M. Hindmarsh, Phys. Rev. D 79, 065010 (2009). arXiv:0809.4711 [hep-ph]

    Article  Google Scholar 

  23. N. Yamamoto, Phys. Rev. D 93(6), 065017 (2016). arXiv:1511.00933 [astro-ph.HE]

    Google Scholar 

  24. D. Grabowska, D.B. Kaplan, S. Reddy, Phys. Rev. D 91(8), 085035 (2015). arXiv:1409.3602 [hep-ph]

    Google Scholar 

  25. T. Eguchi, N. Kawamoto, Nucl. Phys. B 237, 609 (1984)

    Article  Google Scholar 

  26. B. Sheikholeslami, R. Wohlert, Nucl. Phys. B 259, 572 (1985)

    Article  Google Scholar 

  27. P.B. Arnold, G.D. Moore, L.G. Yaffe, J. High Energy Phys. 0112, 009 (2001). hep-ph/0111107

    Article  Google Scholar 

  28. A. Adare et al., [PHENIX Collaboration], Phys. Rev. Lett. 104, 252301 (2010). arXiv:1002.1077 [nucl-ex]

    Google Scholar 

  29. C. Shen, Nucl. Phys. A 956, 184 (2016). arXiv:1601.02563[nucl-th]

    Article  Google Scholar 

  30. C. Klein-Bosing, L. McLerran, Phys. Lett. B 734, 282 (2014). arXiv:1403.1174 [nucl-th]

    Article  Google Scholar 

  31. N. Tanji, Phys. Rev. D 92(12), 125012 (2015). arXiv:1506.08442 [hep-ph]

    Google Scholar 

  32. L. McLerran, B. Schenke, Nucl. Phys. A 929, 71 (2014). arXiv:1403.7462 [hep-ph]

    Article  Google Scholar 

  33. K. Fukushima, D.E. Kharzeev, H.J. Warringa, Phys. Rev. D 78, 074033 (2008). arXiv:0808.3382 [hep-ph]

    Article  Google Scholar 

  34. S. Benic, K. Fukushima, O. Garcia-Montero, R. Venugopalan, J. High Energy Phys. 1701, 115 (2017). https://doi.org/10.1007/JHEP01(2017)115, arXiv:1609.09424 [hep-ph]

    Article  Google Scholar 

  35. J. Berges, K. Reygers, N. Tanji, R. Venugopalan, arXiv:1704.04032 [nucl-th]

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, Heidelberg University, Philosophenweg 16, 69120, Heidelberg, Germany

    Niklas Mueller, Oscar Garcia-Montero, Naoto Tanji & Juergen Berges

Authors
  1. Niklas Mueller
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Oscar Garcia-Montero
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Naoto Tanji
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Juergen Berges
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Niklas Mueller .

Editor information

Editors and Affiliations

  1. Zentrum für Informationsdienste und Hochleistungsrechnen (ZIH), Technische Universität Dresden, Dresden, Germany

    Wolfgang E. Nagel

  2. Abteilung für Angewandte Mathematik, Universität Freiburg, Freiburg, Germany

    Dietmar H. Kröner

  3. Höchstleistungsrechenzentrum Stuttgart (HLRS), Universität Stuttgart, Stuttgart, Germany

    Michael M. Resch

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Mueller, N., Garcia-Montero, O., Tanji, N., Berges, J. (2018). Real-Time Lattice Simulations of Quantum Anomalies, Topologies and Particle Production in Strongly Correlated Gauge Theories. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ' 17 . Springer, Cham. https://doi.org/10.1007/978-3-319-68394-2_5

Download citation

Publish with us

Policies and ethics

Search

Navigation