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The soliton of the effective chiral action
Institution:1. The Niels Bohr Institute, Uneversity of Copenhagen, DK-2100 Copenhagen Ø, Denmark;2. Central Institute for Nuclear Research Rossendorf, Pf. 19, DDR-8051 Dresden, GDR;1. State Key Laboratory of Natural Medicines, School of Pharmacy, China Pharmaceutical University, Nanjing 210009, PR China;2. NMPA Key Laboratory for Research and Evaluation of Pharmaceutical Preparations and Excipients, China Pharmaceutical University, Nanjing 210009, PR China;3. Department of Pharmaceutical Sciences, Shanghai University of Traditional Chinese Medicine, Shanghai 201203, PR China
Abstract:The baryon-number-1 soliton solution of the effective chiral meson action of QCD is found numerically. For this purpose the underlying fermion determinant (quark loop) is calculated in a non-perturbative way by diagonalizing the corresponding Dirac hamiltonian. The vacuum energy is defined within a static version of the proper-time regularization. Topological soliton solutions are found for cut-offs below some critical value, above which only topologically trivial solutions exist.
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