Numerical Analysis of Thirring Model under White Noise

[摘要] Today, the effects of noise on dynamical systems are an attractive area of research. The noise acts as a driving term in the equations of motion in nonlinear systems. In this work, we present conformally invariant pure spinor nonlinear Thirring model. Thirring model describes Dirac fermions in (1+1) space-time dimensions with local current-current interaction. This model has rich dynamic of the quantization of relativistic quantum field theories. We investigate the response of Thirring oscillator to white noise by constructing phase space displays.

[发布机构] Istanbul University, Department of Physics, Istanbul, Turkey^1;Istanbul Bilgi University, School of Advanced Vocational Studies, Istanbul, Turkey^2

[效力级别] 数学

[关键词] Current interactions;Dirac fermions;Quantum field theory;Rich dynamics;Space time;Thirring model