13 citations · 124 across the 29 of their papers we have counts for
30 papers
Fuchsian Resonance and a Horizon-to-Boundary Dictionary for Pole-Skipping
Yoon-Seok Choun
Pole-skipping occurs at special complex frequencies and momenta where the retarded Green function of a black-hole or black-brane background is not uniquely defined. The local near-…
A Horizon-to-Boundary Dictionary Linking Smooth Horizon Continuation, Pole-Skipping, and Lowest-Weight Structure
Yoon-Seok Choun, Ki-Seok Kim
We study pole-skipping for a scalar field in the JT/AdS black-hole background. Previous work established the local mechanism: at a pole-skipping point, a near-horizon recurrenc…
Holographic dual effective field theory in the Luttinger-Ward functional approach: Application to an SYK model
Yoon-Seok Choun, Hyeon Jung Kim, Ki-Seok Kim
We construct an emergent holographic dual description in the Luttinger-Ward functional approach, where the renormalization group (RG) flows of collective bi-local fields appear man…
Quantum Scaling Dimension from the Equivalence principle
Yoon-Seok Choun, Ki-Seok Kim, Sang-Jin Sin
We propose a method to constrain the scaling dimension of the operators of the strongly interacting systems (SIS) using the holographic setup. %where the (d+1)-dimensional black ho…
Renormalization group flow to effective quantum mechanics at IR in an emergent dual holographic description for spontaneous chiral symmetry breaking
Ki-Seok Kim, Mitsuhiro Nishida, Yoonseok Choun
Implementing the Wilsonian renormalization group (RG) transformation in a nonperturbative way, we construct an effective holographic dual description with an emergent extradimensio…
Momentum dependent gap in holographic superconductors revisited
Debabrata Ghorai, Yoon-Seok Choun, Sang-Jin Sin
We reconsider the angular dependence in gap structure of holographic superconductors, which has not been treated carefully so far. For the vector field model, we show that the norm…
Scaling dimension of Cooper pair operator from the black hole interior
Yoon-Seok Choun, Sang-Jin Sin
We have shown that in holographic superconductivity theory for 3+1 dimensional system, the scaling dimension of Cooper pair operator can be obtained as a quantized value if we requ…
Heun's equation and analytic structure of the Gap in Holographic superconductivity
Yoon-Seok Choun, Wenhe Cai, Sang-Jin Sin
We present the new method to calculate the critical temperature as a function of , conformal dimension of the cooper operator. We find that, in the regime where th…
Quantization of the charge in Coulomb plus harmonic potential
Yoon-Seok Choun, Sang-Jin Sin
We consider two models where the wave equation can be reduced to the effective Schrödinger equation whose potential contains both harmonic and the Coulomb terms, .…
Impossibility of convergence of a confluent Heun function on the boundary of the disc of convergence
Yoon-Seok Choun
The confluent Heun equation is one of 4 confluent forms of Heun's differential equation in which is the Fuchsian equation of second order with four regular singularities. A conflue…
Impossibility of convergence of a Heun function on the boundary of the disc of convergence
Yoon-Seok Choun
The Heun's equation is the Fuchsian equation of second order with four regular singularities. Heun functions generalize well-known special functions such as Spheroidal Wave, Lamé,…
The radius of convergence of the Lamé function
Yoon-Seok Choun
We consider the radius of convergence of a Lamé function, and we show why Poincaré-Perron theorem is not applicable to the Lamé equation.
The convergence test to the application in a multi-term recurrence relation of a linear ODE
Yoon-Seok Choun
The recursive relation starts to appear by putting a function into a linear ordinary differential equation (ODE). There can be -term of sequen…
Bridging the Chiral symmetry and Confinement with Singularity
Yoon-Seok Choun, Sang-Jin Sin
We consider a holographic quark model where the confinement is a consequence of the quark condensate. Surprisingly, the equation of motion of our holographic model can be mapped to…
Inexistence of quark mass in chiral symmetry and its relation to confinement dynamics
Yoon-Seok Choun
In 1985, Gürsey showed that the spectrum of the semi-relativistic Hamiltonian for the bag model, introduced by Lichtenberg et al. for mesons, follows the Regge trajectory if the cu…
Chiral symmetry and Heun's equation
Yoon-Seok Choun, Sang-Jin Sin
We show that the current quark mass should vanish to be consistent with the QCD color confinement: a bag model leads us to Heun's equation, which requests that not only the energy…
On the Incompatibility of Rearrangement with Convergence: An Axiomatic Approach to Holomorphic Recurrence Relations
Yoon-Seok Choun
In classical analysis, the convergence behavior of power series solutions to differential or recurrence equations is generally assumed to be invariant under internal rearrangement.…
Classification of a family of non almost periodic free Araki-Woods factors
Cyril Houdayer, Dimitri Shlyakhtenko, Stefaan Vaes
We obtain a complete classification of a large class of non almost periodic free Araki-Woods factors up to isomorphism. We do this by showing that free Araki-Woods factor…
Complete polynomials using 3-term and reversible 3-term recurrence formulas (3TRF and R3TRF)
Yoon Seok Choun
In the first series "Special functions and three term recurrence formula (3TRF)", I show how to obtain power series solutions of Heun, Grand Confluent Hypergeoemtric (GCH), Mathieu…
Special functions and reversible three-term recurrence formula (R3TRF)
Yoon Seok Choun
In the previous series "Special functions and three term recurrence formula (3TRF)", I generalize the three term recurrence relation in the linear differential equation for the inf…
The generating functions of Lame equation in Weierstrass's form
Yoon Seok Choun
Lame equation arises from deriving Laplace equation in ellipsoidal coordinates; in other words, it's called ellipsoidal harmonic equation. Lame function is applicable to diverse ar…
Power series and integral forms of Lame equation in Weierstrass's form
Yoon Seok Choun
I consider the power series expansion of Lame function in the Weierstrass's form and its integral forms applying three term recurrence formula[1]. I investigate asymptotic expansio…
Asymptotic behavior of Heun function and its integral formalism
Yoon Seok Choun
The Heun function generalizes all well-known special functions such as Spheroidal Wave, Lame, Mathieu, and hypergeometric functions. Heun functions are applicable to diverse areas…
Lame equation in the algebraic form
Yoon Seok Choun
Lame equation arises from deriving Laplace equation in ellipsoidal coordinates; in other words, it's called ellipsoidal harmonic equation. Lame functions are applicable to diverse…