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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© 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
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