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JHEP04(2015)156.pdf | 384.97 kB | Adobe PDF | 見る/開く |
タイトル: | Gradient flow of O(N) nonlinear sigma model at large N |
著者: | Aoki, Sinya Kikuchi, Kengo Onogi, Tetsuya |
著者名の別形: | 菊地, 健吾 |
キーワード: | Lattice Quantum Field Theory Field Theories in Lower Dimensions Nonperturbative Effects |
発行日: | Apr-2015 |
出版者: | Springer Berlin Heidelberg |
誌名: | Journal of High Energy Physics |
巻: | 2015 |
号: | 4 |
論文番号: | 156 |
抄録: | We study the gradient flow equation for the O(N) nonlinear sigma model in two dimensions at large N. We parameterize solution of the field at flow time t in powers of bare fields by introducing the coefficient function X n for the n-th power term (n = 1, 3, ··· ). Reducing the flow equation by keeping only the contributions at leading order in large N, we obtain a set of equations for X n ’s, which can be solved iteratively starting from n = 1. For n = 1 case, we find an explicit form of the exact solution. Using this solution, we show that the two point function at finite flow time t is finite. As an application, we obtain the non-perturbative running coupling defined from the energy density. We also discuss the solution for n = 3 case. |
著作権等: | The final publication is available under Open Access at Springer via http://dx.doi.org/10.1007/JHEP04(2015)156. |
URI: | http://hdl.handle.net/2433/203070 |
DOI(出版社版): | 10.1007/JHEP04(2015)156 |
出現コレクション: | 学術雑誌掲載論文等 |
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