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  • Access by Xinjiang University

Lower-bound renormalization group for gauge-Higgs systems

David J. E. Callaway

  • Department of Physics, The Rockefeller University, 1230 York Avenue, New York, New York 10021-6399

Phys. Rev. D 39, 612 – Published 15 January, 1989

DOI: https://doi.org/10.1103/PhysRevD.39.612

Abstract

The highly accurate Kadanoff lower-bound renormalization group for spin systems is generalized to models with local gauge symmetry. As an example it is applied to the Z2 gauge-Higgs theory. The two critical exponents of the model are, respectively, predicted exactly and with 0.1% accuracy by a simple analytic calculation. The application of the generalized method to more complicated gauge groups in arbitrary spacetime dimension is described.

References (4)

  1. L. P. Kadanoff, Phys. Rev. Lett. 34, 1005 (1975); L. P. Kadanoff, A. Houghton and M. C. Yalabik, J. Stat. Phys. 14, 171 (1976).
  2. T. W. Burkhardt, in Real-Space Renormalization, edited by T. W. Burkhardt and J. M. J. van Leeuwen (Springer, New York, 1982); Phys. Rev. B 13, 3178 (1976).
  3. D. J. E. Callaway and R. Petronzio, Nucl. Phys. B292, 497 (1987); D. J. E. Callaway, Phys. Rep. 167, 241 (1988); see also Nucl. Phys. B233, 189 (1984).
  4. D. J. E. Callaway and R. Petronzio, Phys. Lett. 139B, 189 (1984); ibid. 145B, 381 (1984); ibid. 148B, 445 (1984); ibid. 149B, 175 (1984).

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