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Title: Gradient flow of O(N) nonlinear sigma model at large N
Authors: Aoki, Sinya
Kikuchi, Kengo
Onogi, Tetsuya
Author's alias: 菊地, 健吾
Keywords: Lattice Quantum Field Theory
Field Theories in Lower Dimensions
Nonperturbative Effects
Issue Date: Apr-2015
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2015
Issue: 4
Thesis number: 156
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.
Rights: 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(Published Version): 10.1007/JHEP04(2015)156
Appears in Collections:Journal Articles

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