Thermodynamics of chiral symmetry at low densities |
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| Institution: | 1. The Niels Bohr Institute, Blegdamsvej 17, Copenhagen, Denmark;2. Physics Department, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;3. Department of Physics and Astronomy, SUNY, Stony Brook, NY 11794, USA;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. School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;2. Shanghai Institute of Pollution Control and Ecological Security, Shanghai, 200092, China;3. Guangdong Provincial Key Laboratory of Environmental Pollution Control and Remediation Technology, School of Environmental Science and Engineering, Sun Yat-sen University, Guangzhou, 510275, China;4. Institute of Landscape Ecology, University of Münster, Münster, 48149, Germany;5. National Institute of Public Health and the Environment, Center for the Safety of Substances and Products, Bilthoven 3720 BA, the Netherlands;6. College of Resources and Environment, Hunan Agricultural University, Changsha, 410128, China;1. University of North Carolina, Chapel Hill, NC, United States;2. Lovelace Respiratory Research Institute, Albuquerque, NM, United States |
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| Abstract: | The phase diagram of two-color QCD as a function of temperature and baryon chemical potential is considered. Using a low-energy chiral Lagrangian based on the symmetries of the microscopic theory, we determine, at the one-loop level, the temperature dependence of the critical chemical potential for diquark condensation and the temperature dependence of the diquark condensate and baryon density. The prediction for the temperature dependence of the critical chemical potential is consistent with the one obtained for a dilute Bose gas. The associated phase transition is shown to be of second order for low temperatures and first order at higher temperatures. The tricritical point at which the second order phase transition ends is determined. The results are carried over to QCD with quarks in the adjoint representation and to ordinary QCD at a non-zero chemical potential for isospin. |
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