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Scaling behaviour of the fictitious time correlation function in stochastic quantization and its implications in Langevin simulation
Institution:1. Department of Physics, Faculty of Science, University of Isfahan, Hezar Jerib, 81746-73441, Isfahan, Iran;2. Quantum Optics Group, Department of Physics, Faculty of Science, University of Isfahan, Hezar Jerib, 81746-73441, Isfahan, Iran
Abstract:The scaling behaviour of the fictitious time correlation length in stochastic quantization is investigated. Its implications in the numerical Langevin simulation are studied by the use of the two-dimensional 0(3) non-linear σ-model. It is discussed in connection with the measurement of the mass gap. Possible relations between the scaling behavior and higher order algorithms or the critical slowing down are also suggested.
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