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A Lower bound on T(SR) / m(H) in the 0(4) model on anisotropic lattices

Jul, 1992
7 pages
Published in:
  • Phys.Lett.B 294 (1992) 84-90
  • Published: 1992
e-Print:
DOI:
Report number:
  • FSU-SCRI-92-101,
  • BI-TP-92-27,
  • HLRZ-92-40,
  • TIFR-TH-92-42
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199319941995302
Abstract:
Results of an investigation of the O(4)O(4) spin model at finite temperature using anisotropic lattices are presented. In both the large NN approximation and numerical simulations using the Wolff cluster algorithm we find that the ratio of the symmetry restoration temperature TSRT_{\rm SR} to the Higgs mass mHm_{\rm H} is independent of the anisotropy ξ\xi. From the numerical simulations we obtain a lower bound of TSR/mH≃0.58±0.02T_{\rm SR} / m_{\rm H} \simeq 0.58 \pm 0.02 at a value for the Higgs mass mHas≃0.5m_{\rm H}a_s \simeq 0.5, which is lowered further by about 10%10\% at mHas≃1m_{\rm H}a_s \simeq 1. Requiring certain timelike correlation functions to coincide with their spacelike counterparts, quantum and scaling corrections to the anisotropy are determined and are found to be small, i.e., the anisotropy is found to be close to the ratio of spacelike and timelike lattice spacings.
  • model: spin
  • spin: model
  • symmetry: O(4)
  • finite temperature
  • lattice field theory: anisotropy
  • numerical calculations: Monte Carlo
  • expansion 1/N