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dc.contributor.author | Aoki, Sinya | en |
dc.contributor.author | Kikuchi, Kengo | en |
dc.contributor.author | Onogi, Tetsuya | en |
dc.contributor.alternative | 菊地, 健吾 | ja |
dc.date.accessioned | 2016-01-18T04:23:16Z | - |
dc.date.available | 2016-01-18T04:23:16Z | - |
dc.date.issued | 2015-04 | - |
dc.identifier.issn | 1029-8479 | - |
dc.identifier.uri | http://hdl.handle.net/2433/203070 | - |
dc.description.abstract | 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. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Berlin Heidelberg | en |
dc.rights | The final publication is available under Open Access at Springer via http://dx.doi.org/10.1007/JHEP04(2015)156. | en |
dc.subject | Lattice Quantum Field Theory | en |
dc.subject | Field Theories in Lower Dimensions | en |
dc.subject | Nonperturbative Effects | en |
dc.title | Gradient flow of O(N) nonlinear sigma model at large N | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Journal of High Energy Physics | en |
dc.identifier.volume | 2015 | - |
dc.identifier.issue | 4 | - |
dc.relation.doi | 10.1007/JHEP04(2015)156 | - |
dc.textversion | publisher | - |
dc.identifier.artnum | 156 | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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