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Title: | Flow equation of N=1 supersymmetric O(N) nonlinear sigma model in two dimensions |
Authors: | Aoki, Sinya Kikuchi, Kengo Onogi, Tetsuya |
Author's alias: | 青木, 愼也 |
Keywords: | Field Theories in Lower Dimensions Sigma Models Supersymmetric Effective Theories |
Issue Date: | 21-Feb-2018 |
Publisher: | Springer Nature |
Journal title: | Journal of High Energy Physics |
Volume: | 2018 |
Thesis number: | 128 |
Abstract: | We study the flow equation for the N = 1 supersymmetric O(N ) nonlinear sigma model in two dimensions, which cannot be given by the gradient of the action, as evident from dimensional analysis. Imposing the condition on the flow equation that it respects both the supersymmetry and the O(N ) symmetry, we show that the flow equation has a specific form, which however contains an undetermined function of the supersymmetric derivatives D and D. Taking the most simple choice, we propose a flow equation for this model. As an application of the flow equation, we give the solution of the equation at the leading order in the large N expansion. The result shows that the flow of the superfield in the model is dominated by the scalar term, since the supersymmetry is unbroken in the original model. It is also shown that the two point function of the superfield is finite at the leading order of the large N expansion. |
Rights: | © The Authors. Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
URI: | http://hdl.handle.net/2433/250355 |
DOI(Published Version): | 10.1007/JHEP02(2018)128 |
Appears in Collections: | Journal Articles |
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