2015/11/20 by Sinya Aoki, Aoki, Sinya, Kengo Kikuchi +3
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.1511.06561
We propose a generalization of the gradient flow equation for quantum field theories with nonlinearly realized symmetry. Applying the equation to N=1 SU(N) super Yang-Mills theory in four dimensions, we construct a supersymmetric extension of the gradient flow equation. Choosing an appropriate modification term to damp the gauge degree of freedom, we obtain a gradient flow equation which is closed within the Wess-Zumino gauge. We also apply the equation to the O(N) nonlinear sigma model in two dimensions at large N, and show that the two point function in terms of the flowed field is non-perturbatively finite.