Effective scalar field theory for the electroweak phase transition |
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| Institution: | 1. Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany;2. Department of Atomic Physics, Eötvös University, H-1088, Puskin u. 5–7, Budapest, Hungary;1. Beijing National Laboratory for Molecular Science (BNLMS), College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China;2. Beijing National Laboratory for Molecular Science (BNLMS), Academy for Advanced Interdisciplinary Studies, Peking University, Beijing 100871, China;3. Beijing National Laboratory for Molecular Science (BNLMS), Department of Materials Physics and Chemistry, University of Science and Technology Beijing, No. 30, Xueyuan Road, Beijing, 100083, China;4. Beijing National Laboratory for Molecular Science (BNLMS), Institute of Applied Physics and Materials Engineering, University of Macau, Macau, China;1. VNU University of Science, Vietnam National University - Hanoi, 334 Nguyen Trai Road, Hanoi, Viet Nam;2. Hanoi University of Science and Technology, 1 Dai Co Viet Road, Hanoi, Viet Nam;1. Laboratoire de Physique Theorique, Université Paris-Sud, F-91405 Orsay, France;2. Department of Physics and Santa Cruz Institute for Particle Physics, University of California, Santa Cruz, CA 95064, USA;3. Max-Planck-Institut für Kernphysik, Postfach 103980, 69029 Heidelberg, Germany;1. Graduate School of Engineering, Muroran Institute of Technology, 27-1 Mizumoto-cho, Muroran, Hokkaido, 050-8585, Japan;2. Department of Mechanical, Aerospace and Materials Engineering, Muroran Institute of Technology, 27-1 Mizumoto-cho, Muroran, Hokkaido, 050-8585, Japan;3. Research Center for Rare Earths (MURORAN MATERIA), Muroran Institute of Technology, 27-1 Mizumoto-cho, Muroran, Hokkaido, 050-8585, Japan;1. Research Institute of Electrochemical Energy, National Institute of Advanced Industrial Science (AIST), Japan;2. Energy Process Research Institute, National Institute of Advanced Industrial Science (AIST), Japan;3. Division of Materials Science, Graduate School of Engineering, Muroran Institute of Technology, Japan;4. Research Center for Rare Earths, Muroran Institute of Technology, Japan;5. Institute of Materials Structure Science, High Energy Accelerator Research Organization (KEK), Japan;1. SISSA/INFN, Via Bonomea 265, 34136 Trieste, Italy;2. Kavli IPMU (WPI), University of Tokyo, 5-1-5 Kashiwanoha, 277-8583 Kashiwa, Japan |
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| Abstract: | We investigate an effective model for the finite-temperature symmetry-restoration phase transition of the electroweak theory. It is obtained by dimensional reduction of the (3 + 1)-dimensional full theory and by subsequent integration over all static gauge degrees of freedom. The resulting theory corresponds to a 3-dimensional O(4) ferromagnet containing cubic and quartic terms of the field in its potential function. Possible nonperturbative effects of a magnetic screening mass are parametrically included in the potential. We analyse the theory using mean-field and numerical Monte Carlo (MC) simulation methods. At the value of the physical Higgs mass, mH = 37 GeV, considered in the present investigation, we find a discontinuous symmetry-restoring phase transition. We determine the critical temperature, order parameter jump, interface tension and latent heat characteristics of the transition. The Monte Carlo results indicate a somewhat weaker first-order phase transition as compared to the mean-field treatment, demonstrating that non-perturbative fluctuations of the Higgs field are relevant. This effect is especially important for the interface tension. Any observation of hard first-order transition could result only from non-perturbative effects related to the gauge degrees of freedom. |
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