Table of Contents
ISRN High Energy Physics
Volume 2012, Article ID 373121, 20 pages
http://dx.doi.org/10.5402/2012/373121
Research Article

Emergent Inert Adjoint Scalar Field in SU(2) Yang-Mills Thermodynamics due to Coarse-Grained Topological Fluctuations

1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
2Institut für Theoretische Physik, Universität Frankfurt, Johann Wolfgang Goethe-Universität, Max von Laue-Straβe 1, 60438 Frankfurt, Germany

Received 3 November 2011; Accepted 6 December 2011

Academic Editor: A. Belhaj

Copyright © 2012 Ulrich Herbst and Ralf Hofmann. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Hofmann, “Nonperturbative approach to Yang-Mills thermodynamics,” International Journal of Modern Physics A, vol. 20, no. 18, pp. 4123–4216, 2005. View at Publisher · View at Google Scholar
  2. R. Hofmann, “Erratum: nonperturbative approach to Yang-Mills thermodynamics (International Journal of Modern Physics A (2005) 20, 18, (4123-4216)),” International Journal of Modern Physics A, vol. 21, no. 31, pp. 6515–6523, 2006. View at Publisher · View at Google Scholar · View at Scopus
  3. B. J. Harrington and H. K. Shepard, “Periodic euclidean solutions and the finite-temperature Yang-Mills gas,” Physical Review D, vol. 17, no. 8, pp. 2122–2125, 1978. View at Publisher · View at Google Scholar · View at Scopus
  4. G. 't Hooft and M. Veltman, “Regularization and renormalization of gauge fields,” Nuclear Physics B, vol. 44, no. 1, pp. 189–213, 1972. View at Google Scholar
  5. G. 't Hooft, “Renormalization of massless Yang-Mills fields,” Nuclear Physics B, vol. 33, no. 1, pp. 173–199, 1971. View at Publisher · View at Google Scholar
  6. G. 't Hooft, “An algorithm for the poles at dimension four in the dimensional regularization procedure,” Nuclear Physics B, vol. 62, pp. 444–460, 1973. View at Google Scholar
  7. G. 't Hooft and M. J. G. Veltman, “Combinatorics of gauge fields,” Nuclear Physics B, vol. 50, no. 1, pp. 318–353, 1972. View at Publisher · View at Google Scholar
  8. D. J. Gross and F. Wilczek, “Asymptotically free gauge theories. I,” Physical Review D, vol. 8, no. 10, pp. 3633–3652, 1973. View at Publisher · View at Google Scholar
  9. D. J. Gross and F. Wilczek, “Ultraviolet behavior of non-abelian gauge theories,” Physical Review Letters, vol. 30, no. 26, pp. 1343–1346, 1973. View at Publisher · View at Google Scholar
  10. H. D. Politzer, “Reliable perturbative results for strong interactions?” Physical Review Letters, vol. 30, no. 26, pp. 1346–1349, 1973. View at Publisher · View at Google Scholar
  11. H. D. Politzer, “Asymptotic freedom: an approach to strong interactions,” Physics Reports, vol. 14, no. 4, pp. 129–180, 1974. View at Google Scholar
  12. W. Nahm, “A simple formalism for the BPS monopole,” Physics Letters B, vol. 90, no. 4, pp. 413–414, 1980. View at Google Scholar
  13. W. Nahm, “Self-dual monopoles and calorons,” in Lecture Notes in Physics, G. Denaro, Ed., vol. 201, pp. 189–200, 1984. View at Publisher · View at Google Scholar
  14. K. Lee and C. Lu, “Su(2) calorons and magnetic monopoles,” Physical Review D, vol. 58, pp. 025011-1–025011-7, 1998. View at Publisher · View at Google Scholar
  15. T. C. Kraan and P. van Baal, “Periodic instantons with non-trivial holonomy,” Nuclear Physics B, vol. 533, no. 1–3, pp. 627–659, 1998. View at Google Scholar · View at Scopus
  16. T. C. Kraan and P. van Baal, “Monopole constituents inside SU(n) calorons,” Physics Letters B, vol. 435, no. 3-4, pp. 389–395, 1998. View at Google Scholar · View at Scopus
  17. R. C. Brower, D. Chen, J. Negele, K. Orginos, and C.-I. Tan, “Magnetic monopole content of hot instantons,” Nuclear Physics B—Proceedings Supplements, vol. 73, no. 1–3, pp. 557–559, 1999. View at Google Scholar · View at Scopus
  18. D. Diakonov, N. Gromov, V. Petrov, and S. Slizovskiy, “Quantum weights of dyons and of instantons with nontrivial holonomy,” Physical Review D, vol. 70, no. 3, Article ID 036003, 2004. View at Publisher · View at Google Scholar · View at Scopus
  19. C. P. K. Altes, “Spatial 't Hooft loop, hot QCD and Z_N domain walls,” Physics Letters B, vol. 469, no. 1–4, pp. 205–212, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  20. C. P. K. Altes, “Quasi-particles and strong first order transition in hot QCD,” Acta Physica Polonica B, vol. 34, no. 12, pp. 5825–5845, 2003. View at Google Scholar
  21. P. Giovannangeli and C. P. K. Altes, “'T Hooft and Wilson loop ratios in the QCD plasma,” Nuclear Physics B, vol. 608, no. 1-2, pp. 203–234, 2001. View at Publisher · View at Google Scholar
  22. C. P. K. Altes, “Spatial 't Hooft loop, hot QCD and Z_N domain walls,” Physics Letters B, vol. 469, no. 1–4, pp. 205–212, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  23. C. H. Hoelbing, C. Rebbi, and V. A. Rubakov, “Free energy of an SU(2) monopole-antimonopole pair,” Physical Review D, vol. 63, no. 3, Article ID 034506, 8 pages, 2001. View at Publisher · View at Google Scholar
  24. G. 't Hooft, “Computation of the quantum effects due to a four-dimensional pseudoparticle,” Physical Review D, vol. 14, no. 12, pp. 3432–3450, 1976. View at Publisher · View at Google Scholar
  25. G. 't Hooft, “Erratum: computation of the quantum effects due to a four-dimensional pseudoparticle (Physical Review D (1978) 18, 6),” Physical Review D, vol. 18, no. 6, pp. 2199–2200, 1978. View at Publisher · View at Google Scholar
  26. M. F. Atiyah, V. G. Drinfeld, N. J. Hitchin, and Y. U. Manin, “Construction of instantons,” Physics Letters A, vol. 65, no. 3, pp. 185–187, 1978. View at Google Scholar
  27. U. Herbst, R. Hofmann, and J. Rohrer, “SU(2) Yang-Mills thermodynamics: two-loop corrections to the pressure,” Acta Physica Polonica B, vol. 36, no. 3, 881 pages, 2005. View at Google Scholar
  28. A. D. Linde, “Infrared problem in the thermodynamics of the Yang-Mills gas,” Physics Letters B, vol. 96, no. 3-4, pp. 289–292, 1980. View at Google Scholar · View at Scopus
  29. D. N. Spergel, L. Verde, H. V. Peiris et al., “First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: determination of cosmological parameters,” The Astrophysical Journal Supplement Journal, vol. 148, no. 1, pp. 175–194, 2003. View at Publisher · View at Google Scholar · View at Scopus
  30. A. Actor, “Self dual solutions of the temperature SU(2) Yang-Mills theory,” Annals of Physics, vol. 148, no. 1, pp. 32–56, 1983. View at Google Scholar · View at Scopus
  31. A. Chakrabarti, “Periodic generalizations of static, self-dual SU(2) gauge fields,” Physical Review D, vol. 35, no. 2, pp. 696–706, 1987. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus