A Lower Bound on TSR/mH in the O(4) Model on Anisotropic Lattices

Results of an investigation of the O(4) spin model at finite temperature using anisotropic lattices are presented. In both the large N approximation and numerical simulations using the Wolff cluster algorithm we find that the ratio of the symmetry restoration temperature TSR to the Higgs mass mH is independent of the anisotropy ξ. From the numerical simulations we obtain a lower bound of TSR/mH ≃ 0.58±0.02 at a value for the Higgs mass mHas ≃ 0.5, which is lowered further by about 10% at mHas ≃ 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. Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India Supercomputer Computations Research Institute, The Florida State University, Tallahassee, FL 32306, USA HLRZ c/o Forschungszentrum Jülich, P. O. Box 1913, D-W-5170 Jülich, FRG Fakultät für Physik, Universität Bielefeld, D-W-4800 Bielefeld, FRG