A study of the bulk phase transitions of the SU(2) lattice gauge theory with mixed action |
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| Institution: | 1. Department of Mathematics, Jinan University, Guangzhou, 510630, PR China;2. Department of Applied Mathematics, Pai Chai University, Daejeon, 35345, South Korea;1. Solar Cell Fabrication Laboratory, Department of Electronics and Communication Engineering, National Institute of Technology Silchar, Assam, 788010, India;2. Department of Material Science, Institute for Multidisciplinary Research, University of Belgrade, Kneza Viseslava 1, 11000, Belgrade, Serbia;3. Institute of Microengineering and Nanoelectronics (IMEN), Universiti Kebangsaan Malaysia (UKM), Selangor, 43600, Malaysia;4. Solar Energy Research Institute of Singapore, National University of Singapore, 117574, Singapore;1. Department of Mathematics, National University of Singapore, Singapore 119076, Singapore;2. Beijing Computational Science Research Center, Beijing, 100193, PR China;3. School of Mathematics, Shandong University, Jinan 250100, PR China;1. Department of Experimental Radiation Oncology, The University of Texas MD Anderson Cancer Center, Houston, TX 77030, USA;2. Department of Bioinformatics and Computational Biology, The University of Texas MD Anderson Cancer Center, Houston, TX 77030, USA;3. Department of Melanoma Medical Oncology, The University of Texas MD Anderson Cancer Center, Houston, TX 77030, USA |
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| Abstract: | Using the finite size scaling theory, we reexamine the nature of the bulk phase transition in the fundamental-adjoint coupling plane of the SU(2) lattice gauge theory at βA = 1.25 where previous finite size scaling investigations of the deconfinement phase transition showed it to be of first order for temporal lattices with four sites. Our simulations on N4 lattices with N = 6, 8, 10, 12 and 16 show an absence of a first order bulk phase transition. We find the discontinuity in the average plaquette to decrease approximately linearly with N. Correspondingly, the plaquette susceptibility grows a lot slower with the 4-volume of the lattice than expected from a first order bulk phase transition. |
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