Gradient flow equation in SQCD

Abstract

We propose a supersymmetric gradient flow in N = 1 SQCD in four dimensions. The flow equation is derived in the superfield formalism and is also given for component fields of the Wess-Zumino gauge in a gauge covariant manner. We find that the flow for the component fields is supersymmetric in a sense that the flow time derivative and any supersymmetry transformation commute with each other up to a gauge transformation.

Lattice studies of supersymmetric gauge theories

“…One tactic is to proceed by using lattice perturbation theory to guide numerical calculations [146][147][148][175][176][177]. There is also an initial investigation of a superQCD gradient flow that is consistent with supersymmetry in Wess-Zumino gauge [178]. Another approach is to omit the scalar fields at first, and initially study gauge-fermion theories including both adjoint gauginos and fundamental quarks [179,180].…”

Perturbative analysis of the Wess-Zumino flow

“…The gradient flow has achieved great success in lattice field theory [1,2], and there are many applications such as non-perturbative renormalization group [3][4][5][6][7][8][9][10][11][12][13][14], a holographic description of field theory [15][16][17][18][19][20][21], O(N ) nonlinear sigma model and large N expansion [22][23][24][25], supersymmetric theory [26][27][28][29][30][31][32][33][34][35], and phenomenological physics to obtain the bounce solution or sphaleron fields configuration [36][37][38][39]. Further studies of the gradient flows could provide a deep understanding of field theories [40,41].…”