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The phase structure of lattice Yang-Mills theories

Фазовая структура решеточных теорий Янга-Миллса

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Il Nuovo Cimento B (1971-1996)

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Summary

A recently proposed general mechanism for the occurrence of phase transitions is investigated in the context of lattice gauge theories. It leads to the prediction that all zero-temperature lattice gauge theories inD≥3 must undergo a phase transition; it is the limit of the finite temperature deconfining transition. Numerical data corroborating our assertion are presented for the 4D SU(2) lattice gauge theory.

Riassunto

Si ricerca un meccanismo generale recentemente proposto per l’esistenza di transizioni di fase nel contesto delle teorie di gauge del reticolo. Esso porta alla previsione che tutte le teorie di gauge del reticolo a temperatura zero inD≥3 devono subire una transizione di fase; è il limite della transizione di deconfinamento a temperatura finita. Si presentano dati numerici che confermano la nostra affermazione per la teoria di gauge del reticoloSU(2) a quattro dimensioni.

Резюме

В контексте решеточных калибровочных теорий исследуется недавно предложенный общий механизм для возникновения фазовых переходов. Этот механизм предсказывает, что все решеточные калибровочные теории при нулевой температуре в случаеD≥3 должны претерпевать фазовый переход, который представляет предел перехола, связанного с нарушением удеудержания при конечных температурах. Приводятся численные данные, подтверждающие наше предположение, для четырехмернойSU(2) решеточной калибровочной теории.

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References

  1. A. Patrascioiu, E. Seiler andI. O. Stamatescu:From ice to deconfinement: a unifying view of certain phase transitions, MPI-PAE-PTh 75/88.

  2. A. Patrascioiu:Phys. Rev. Lett.,58, 2285 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  3. E. Seiler, I. O. Stamatescu, A. Patrascioiu andV. Linke:Critical behavior, scaling and universality in some two-dimensional spin models, MPI-PAE/PTh 76/88, to appear inNucl. Phys. B.

  4. E. Seiler:Challenging the conventional wisdom on ferromagnets and lattice gauge theories, MPI-PAE/PTh 24/88, to appear inProceedings of the 1988 Karpacz Winter School.

  5. M. Creutz, L. Jacobs andC. Rebbi:Phys. Rev.,95, 201 (1983).

    Google Scholar 

  6. C. Borgs andE. Seiler:Nucl. Phys. B,215 [FS7], 125 (1983);Commun. Math. Phys.,91, 329 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  7. E. T. Tomboulis andL. Yaffe:Commun. Math. Phys.,100, 313 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  8. S. Das andJ. Kogut:Phys. Lett. B,141, 105 (1984);Nucl. Phys. B,257 [FS14], 141 (1985);G. Batrouni andB. Svetitsky:Phys. Rev. Lett.,152, 2205 (1984);K. Fabricius, O. Haan andF. Klinkhamer:Phys. Rev. D,30, 2227 (1984).

    Article  ADS  Google Scholar 

  9. J. Engels, J. Jersák, K. Kanaya, E. Laermann, C. B. Lang, T. Neuhaus andH. Satz:Nucl. Phys. B,280, 577 (1987).

    Article  ADS  MATH  Google Scholar 

  10. A. D. Kennedy, J. Kuti, S. Meyer andB. J. Pendleton:Phys. Rev. Lett.,54, 87 (1985).

    Article  ADS  Google Scholar 

  11. N. Christ andE. Terrano:Phys. Rev. Lett.,56, 111 (1986).

    Article  ADS  Google Scholar 

  12. S. A. Gottlieb, J. Kuti, D. Toussaint andA. D. Kennedy:Phys. Rev. Lett.,55, 1958 (1985).

    Article  ADS  MATH  Google Scholar 

  13. G. Bhanot andM. Creutz:Phys. Rev. D,24, 3212 (1981).

    Article  ADS  Google Scholar 

  14. H. G. Evertz, J. Jersák, T. Neuhaus andP. M. Zerwas:Nucl. Phys. B,251, 279 (1985).

    Article  ADS  Google Scholar 

  15. A. Patrascioiu, E. Seiler, I. O. Stamatescu:Obtaining reliable numerical information close to a critical point, MPI-PAE/PTh 31/88.

  16. A. Patrascioiu, E. Seiler andI. O. Stamatescu:Critical slowing down, Monte Carlo renormalization group and critical phenomena, University of Arizona preprint (1988).

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Author notes

  1. A. Patrascioiu

    Present address: Physics Dept., University of Arizona, 85721, Tucson, AZ, USA

  2. I. O. Stamatescu

    Present address: FEST, Schmeilweg 5, D-6900, Heidelberg, BRD

Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, Werner-Heisenberg-Institut für Physik, P.O. Box 40 12 12, München, BRD

    A. Patrascioiu & E. Seiler

  2. Institut für Theorie der Elementarteilchen, Freie Universität Berlin, Arnimallee 14, D-1000, Berlin 33

    V. Linke & I. O. Stamatescu

Authors
  1. A. Patrascioiu
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  2. E. Seiler
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  3. V. Linke
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  4. I. O. Stamatescu
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Patrascioiu, A., Seiler, E., Linke, V. et al. The phase structure of lattice Yang-Mills theories. Nuov Cim B 104, 229–236 (1989). https://doi.org/10.1007/BF02906319

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  • DOI: https://doi.org/10.1007/BF02906319

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