Common Behaviors of Spinor-Type Instantons in 2D Thirring and 4D Gursey Fermionic Models

Table 1

Characterization of the fix points.

𝛽 parameter	Fix points (𝐹^∗,𝐺^∗)	Eigenvalues 𝜆±	Characterization
0	(0, 0)	±14	Hyperbolic
0.5	(0, 0); ±12√10.5,±2√0.5	±12𝑖	Elliptic
1	(0, 0); ±121,±2	±12𝑖	Elliptic
1.5	(0, 0); ±12√11.5,±2√1.5	±12𝑖	Elliptic
2	(0, 0); ±12√21,±2√2	±12𝑖	Elliptic

∗refers to fix points that don’t change upon application of differential equation system.