The Schwinger effect and natural inflationary magnetogenesis

Influence of tachyonic instability on the Schwinger effect in Higgs inflation model

“…We only consider two expressions for strong field regime. It has been shown in [1,2,74,78] that the Schwinger effect in weak field regime is quite negligible and irrelevant to our calculations. Thus, for numerical calculations we only need following expressions…”

“…In order to allow all modes contribute to the total energy density of the electric field in numerical calculations we should add boundary term to the right hand side of equation (19). By using equation ( 33) we find required equation for boundary term in axial coupling [1,2,77,78] ( ρE…”

Dynamical System Approach and Thermodynamical Perspective of Hořava‐Lifshitz Gravity

“…The equilibrium point is saddle if there is a combination of both positive and negative eigenvalues. [32] Two other classifications of equilibrium points are: hyperbolic and non-hyperbolic equilibrium points. If any one of the eigenvalues in the Jacobian matrix becomes zero, then the equilibrium point is called the hyperbolic equilibrium point; otherwise, it is non-hyperbolic.…”