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Ground State Metamorphosis for Yang-Mills Fields on a Finite Periodic Lattice

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Book cover Structural Elements in Particle Physics and Statistical Mechanics

Part of the book series: NATO Advanced Study Institutes Series ((ACPH,volume 82))

Abstract

We study the weak coupling behaviour of the partition function of non-abelian gauge fields on a finite lattice. Periodic boundary conditions are imposed. Two different power laws in the coupling β−1 arise for the partition function, when the dimension d of space time is larger or smaller than a critical dimension dc. For SU(2) dc = 4 and we find at this dimension power behaviour corrected by log β. The phenomenon is of practical importance in Monte Carlo simulations of the twisted action.

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Author information

Authors and Affiliations

  1. Centre de Physique Théorique, Section 2, CNRS, Marseille, France

    A. Gonzalez-Arroyo, J. Jurkiewicz & C. P. Korthals-Altes

  2. Universidad Autonoma de Madrid, Canto Blanco, Madrid, Spain

    A. Gonzalez-Arroyo

  3. Jagellonian University, Reymonta 4, Cracow, Poland

    J. Jurkiewicz

  4. Centre de Physique de Theorique, Section 2, CNRS, Luminy, Case 907, 13288, Marseille Cedex 9, France

    C. P. Korthals-Altes

Authors
  1. A. Gonzalez-Arroyo
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  2. J. Jurkiewicz
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  3. C. P. Korthals-Altes
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Editor information

Editors and Affiliations

  1. Albert Ludwigs University, Freiburg, Federal Republic of Germany

    J. Honerkamp , K. Pohlmeyer  & H. Römer ,  & 

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© 1987 Plenum Press, New York

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Gonzalez-Arroyo, A., Jurkiewicz, J., Korthals-Altes, C.P. (1987). Ground State Metamorphosis for Yang-Mills Fields on a Finite Periodic Lattice. In: Honerkamp, J., Pohlmeyer, K., Römer, H. (eds) Structural Elements in Particle Physics and Statistical Mechanics. NATO Advanced Study Institutes Series, vol 82. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3509-2_25

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  • DOI: https://doi.org/10.1007/978-1-4613-3509-2_25

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3511-5

  • Online ISBN: 978-1-4613-3509-2

  • eBook Packages: Springer Book Archive

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