## What is/are Double Scaling?

Double Scaling - We study the six-particle amplitude in planar $$ \mathcal{N} $$ N = 4 super Yang-Mills theory in the double scaling (DS) limit, the only nontrivial codimension-one boundary of its positive kinematic region.^{[1]}These results are essential to implement the double scaling limit mechanism of the DSEs, which is done in the third section.

^{[2]}In this paper we study a wide class of planar single-trace four point correlators in the chiral conformal field theory (χCFT4) arising as a double scaling limit of the γ-deformed $$ \mathcal{N} $$ = 4 SYM theory.

^{[3]}The implementation of the double scaling mechanism is then exhibited in the fourth section.

^{[4]}We study theO(2N)model at criticality in three dimensions in the double scaling limit of large N and large charge.

^{[5]}In a previous work, we showed that starting with the Kts for rectangular isotropic plates with circular holes the Kts for rectangular orthotropic plates with elliptic holes can be easily and accurately predicted, using a double scaling procedure (a geometric scaling and a material scaling) together with a basic Kt curve employed as a master curve.

^{[6]}Furthermore, in the matrix model we computed one-point functions of single-trace operators to all orders of genus expansion in its double scaling limit, and found that the large-order behavior of this expansion is stringy and not Borel summable.

^{[7]}After such a double scaling, the large finite n equation reduces to a second order second degree equation, in the variables S and T, from which we derive the asymptotic expansion of the scaled Hankel determinant in three cases of S and T : S → ∞ with T fixed, S → 0 with T > 0 fixed, and T → ∞ with S > 0 fixed.

^{[8]}We derive the Painleve II equation, taking the double scaling limit in the vicinity of the critical point which is the Argyres–Douglas type point of the corresponding spectral curve.

^{[9]}We analyze a recently introduced double scaling limit where the gauge coupling is weak while the R-charge of the chiral primary Φ is large.

^{[10]}00811 [hep-th]], the partition function of the Gross-Witten-Wadia unitary matrix model with the logarithmic term has been identified with the $\tau$ function of a certain Painlev\'{e} system, and the double scaling limit of the associated discrete Painlev\'{e} equation to the critical point provides us with the Painlev\'{e} II equation.

^{[11]}Four-dimensional conformal fishnet theory is an integrable scalar theory which arises as a double scaling limit of $\gamma$-deformed maximally supersymmetric Yang-Mills.

^{[12]}An important conjecture in knot theory relates the large-N, double scaling limit of the colored Jones polynomial J K , N ( q ) of a knot K to the hyperbolic volume of the knot complement, Vol ( K ).

^{[13]}For models with interactions decaying as $e^{-\alpha \left\vert l-j\right\vert }/\left\vert l-j\right\vert ^{p+1}$, with $p$ integer or natural number and $\alpha \geq 0$, we show that there are third order phase transitions in a double scaling limit of the complex-time Loschmidt echo amplitudes.

^{[14]}Findings with double scaling according to visitors' perceptions that Pedestrian (Rank 1), Parking (rank 2) and Vegetation (Rank 3) while according to Pedestrian traders (rank 1), Places to Eat and drink (rank 2), Kiosk (Rank 3).

^{[15]}We use the Bessel-inspired behavior of parton densities at small Bjorken x values, obtained in the case of the flat initial conditions for DGLAP evolution equations in the double scaling QCD approximation (DAS), to evaluate the transverse momentum dependent (TMD, or unintegrated) quark and gluon distribution functions in a proton.

^{[16]}We consider quantum quench in large-N singlet sector quantum mechanics of a single hermitian matrix in the double scaling limit.

^{[17]}

## double scaling limit

These results are essential to implement the double scaling limit mechanism of the DSEs, which is done in the third section.^{[1]}In this paper we study a wide class of planar single-trace four point correlators in the chiral conformal field theory (χCFT4) arising as a double scaling limit of the γ-deformed $$ \mathcal{N} $$ = 4 SYM theory.

^{[2]}We study theO(2N)model at criticality in three dimensions in the double scaling limit of large N and large charge.

^{[3]}Furthermore, in the matrix model we computed one-point functions of single-trace operators to all orders of genus expansion in its double scaling limit, and found that the large-order behavior of this expansion is stringy and not Borel summable.

^{[4]}We derive the Painleve II equation, taking the double scaling limit in the vicinity of the critical point which is the Argyres–Douglas type point of the corresponding spectral curve.

^{[5]}We analyze a recently introduced double scaling limit where the gauge coupling is weak while the R-charge of the chiral primary Φ is large.

^{[6]}00811 [hep-th]], the partition function of the Gross-Witten-Wadia unitary matrix model with the logarithmic term has been identified with the $\tau$ function of a certain Painlev\'{e} system, and the double scaling limit of the associated discrete Painlev\'{e} equation to the critical point provides us with the Painlev\'{e} II equation.

^{[7]}Four-dimensional conformal fishnet theory is an integrable scalar theory which arises as a double scaling limit of $\gamma$-deformed maximally supersymmetric Yang-Mills.

^{[8]}An important conjecture in knot theory relates the large-N, double scaling limit of the colored Jones polynomial J K , N ( q ) of a knot K to the hyperbolic volume of the knot complement, Vol ( K ).

^{[9]}For models with interactions decaying as $e^{-\alpha \left\vert l-j\right\vert }/\left\vert l-j\right\vert ^{p+1}$, with $p$ integer or natural number and $\alpha \geq 0$, we show that there are third order phase transitions in a double scaling limit of the complex-time Loschmidt echo amplitudes.

^{[10]}We consider quantum quench in large-N singlet sector quantum mechanics of a single hermitian matrix in the double scaling limit.

^{[11]}