- Physical Review Journals
All JournalsPhysics Magazine

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Finite system size correction to NLO scattering in ϕ4 theory

W. A. Horowitz*

J. F. Du Plessis†

  • Department of Physics, University of Cape Town, Rondebosch 7701, South Africa

  • Department of Physics, University of Stellenbosch, Matieland, 7602, South Africa

  • *wa.horowitz@uct.ac.za
  • †23787295@sun.ac.za
PDF

Phys. Rev. D 105, L091901 – Published 9 May, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L091901

Abstract

We compute 2→2 scattering in massive ϕ4 theory on R1,m×Tn to NLO. We perform the calculations using “denominator regularization” instead of the usual dimensional regularization, which allows for asymmetric configurations of the Tn. We give a transparent derivation of and equation for the analytic continuation of the generalized Epstein zeta function. We show that the optical theorem is satisfied and generalize a conjecture by Hardy on square counting functions. We comment on the implications.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (23)

  1. B. Abelev et al. (ALICE Collaboration), Phys. Lett. B 719, 29 (2013).
  2. G. Aad et al. (ATLAS Collaboration), Phys. Rev. Lett. 110, 182302 (2013).
  3. A. Adare et al. (PHENIX Collaboration), Phys. Rev. Lett. 111, 212301 (2013).
  4. G. Aad et al. (ATLAS Collaboration), Phys. Rev. Lett. 116, 172301 (2016).
  5. A. Bzdak, B. Schenke, P. Tribedy, and R. Venugopalan, Phys. Rev. C 87, 064906 (2013).
  6. R. D. Weller and P. Romatschke, Phys. Lett. B 774, 351 (2017).
  7. S. Mogliacci, I. Kolbé, and W. A. Horowitz, Phys. Rev. D 102, 116017 (2020).
  8. M. Kitazawa, S. Mogliacci, I. Kolbé, and W. A. Horowitz, Phys. Rev. D 99, 094507 (2019).
  9. W. A. Horowitz and A. Rothkopf, The QCD equation of state in small systems in Proceedings of the 50th International Symposium on Multiparticle Dynamics (2021), arXiv:2109.01422.
  10. I. Montvay and G. Munster, Quantum Fields on a Lattice, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, England, 1997), ISBN [Amazon][WorldCat], [Amazon][WorldCat].
  11. G. ’t Hooft, Nucl. Phys. B153, 141 (1979).
  12. A. Coste, A. Gonzalez-Arroyo, J. Jurkiewicz, and C. P. Korthals Altes, Nucl. Phys. B262, 67 (1985).
  13. J. Zinn-Justin, Int. Ser. Monogr. Phys. 113, 1 (2002).
  14. S. W. Hawking, Commun. Math. Phys. 55, 133 (1977).
  15. E. Elizalde, Commun. Math. Phys. 198, 83 (1998).
  16. G. H. Hardy, Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work (Cambridge University Press, Cambridge, England, 1940).
  17. K. Kirsten, J. Math. Phys. (N.Y.) 35, 459 (1994).
  18. N. K. Johnson-McDaniel, J. Fourier Anal. Appl. 18, 367 (2012).
  19. W. A. Horowitz and J. F. Du Plessis (to be published).
  20. H. E. Camblong and C. R. Ordonez, Phys. Rev. D 68, 125013 (2003).
  21. J. L. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, England, 1996), 10.1017/CBO9781316036440.
  22. M. A. Stephanov, K. Rajagopal, and E. V. Shuryak, Phys. Rev. Lett. 81, 4816 (1998).
  23. X. Luo and N. Xu, Nucl. Sci. Tech. 28, 112 (2017).

Outline

Information

Phys. Rev. D 105, L091901– Published 9 May, 2022
  • Received 7 March 2022
  • Accepted 19 April 2022
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation