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Structure of the high temperature gauge ground state and electroweak production of the baryon asymmetry |
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| Institution: | 1. Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark;1. Center of Theoretical Physics, Tomsk State Pedagogical University, 634061, Tomsk, Russia;2. National Research Tomsk State University, 634050, Tomsk, Russia;3. Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia;4. Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Moscow region, Russia;5. Tomsk State University of Control Systems and Radioelectronics, 634050 Tomsk, Russia;6. Department of Theoretical Physics, Moscow State University, 119991 Moscow, Russia;1. Institute of Engineering Thermophysics, National Academy of Sciences, Kiev 03057, Ukraine;2. MBtech Group GmbH & Co. KGaA, 70736 Fellbach-Schmiden, Germany;1. Department of Physical Chemistry, Graduate School of Pharmaceutical Sciences, Chiba University, Chuoh-Inohana, Chiba 260-8675, Japan;2. School of Medicine, Tokai University, Isehara, Kanagawa 259-1193, Japan;3. Department of Material Science, Interdisciplinary Graduate School of Science and Engineering, Shimane University, Matsue, Shimane 690-8504, Japan |
| Abstract: | We investigate the connection of the baryon asymmetry of the universe (BAU) with the Chern-Simons structure of the ground state of gauge theories at high temperatures. We formulate in an explicitly gauge-invariant way the notion of the effective potential for density of the Chern-Simons charge and estimate CP noninvariant corrections to it coming from the nonequilibrium stages of universe expansion. We find that for the case of trivial structure of the ground state the BAU production is only possible if the low-energy CP violation in anomalous reactions δms is larger than 10−4. We discuss the fate of the CP domain structure of the universe which appears when there is discrete degeneracy of the ground state. The magnitude of BAU could be large only with sufficiently strong high temperature CP violation. So the BAU generation in the framework of standard electroweak theory (where δms∼10−18) takes place only when there is infinite degeneracy. We estimate the Higgs and top masses in the Coleman-Weinberg type of theory. |
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