Chen‐Te Ma
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View article: Backreaction of Dirac Matter in the Context of the SYK Model: Non-Gaussian Random Couplings and Bulk Mass Deformations
Backreaction of Dirac Matter in the Context of the SYK Model: Non-Gaussian Random Couplings and Bulk Mass Deformations Open
We elaborate further on the backreaction of Dirac matter in the SYK framework, incorporating non-Gaussian coupling distributions and bulk fermion mass effects. Our study analyzes quartic matter couplings generated by a non-Gaussian distrib…
View article: Higher-Dimensional Fermionic SYK Model in IR Region
Higher-Dimensional Fermionic SYK Model in IR Region Open
We study the 2D fermionic SYK model with Majorana fermions, featuring a quartic kinetic term and a $2q$-body interaction with Gaussian disorder. By minimizing the effective action or solving the SD equation for $q=1$, we determine that the…
View article: Lattice Chiral Fermion without Hermiticity
Lattice Chiral Fermion without Hermiticity Open
Our review of the lattice chiral fermion delves into some critical areas of lattice field theory. By abandoning Hermiticity, the non-Hermitian formulation circumvents the Nielsen-Ninomiya theorem while maintaining chiral symmetry, a novel …
View article: Chaotic-Integrable Transition for Disordered Orbital Hatsugai-Kohmoto Model
Chaotic-Integrable Transition for Disordered Orbital Hatsugai-Kohmoto Model Open
We have drawn connections between the Sachdev-Ye-Kitaev model and the multi-orbit Hatsugai-Kohmoto model, emphasizing their similarities and differences regarding chaotic behaviors. The features of the spectral form factor, such as the dip…
View article: Non-Hermitian lattice fermions in the 2D Gross-Neveu-Yukawa model
Non-Hermitian lattice fermions in the 2D Gross-Neveu-Yukawa model Open
We work the lattice fermions and non-Hermitian formulation in the 2D Gross-Neveu-Yukawa (GNY) model and demonstrate the numerical implementation for two flavors by the hybrid Monte Carlo. Our approach has a notable advantage in dealing wit…
View article: Modular average and Weyl anomaly in two-dimensional Schwarzian theory
Modular average and Weyl anomaly in two-dimensional Schwarzian theory Open
The gauge formulation of Einstein gravity in AdS3 background leads to a boundary theory that breaks modular symmetry and loses the covariant form. We examine the Weyl anomaly for the cylinder and torus manifolds. The divergent term is the …
View article: On the backreaction of Dirac matter in JT gravity and SYK model
On the backreaction of Dirac matter in JT gravity and SYK model Open
We model backreaction in AdS2 JT gravity via a proposed boundary dual Sachdev-Ye-Kitaev quantum dot coupled to Dirac fermion matter and study it from the perspective of quantum entanglement and chaos. The boundary effective action accounts…
View article: Non-Hermitian Lattice Fermions in 2D GNY Model
Non-Hermitian Lattice Fermions in 2D GNY Model Open
We work the lattice fermions and non-Hermitian formulation in the 2D GNY model and demonstrate the numerical implementation for two flavors by the Hybrid Monte Carlo. Our approach has a notable advantage in dealing with chiral symmetry on …
View article: AdS <sub>3</sub> Einstein gravity and boundary description: pedagogical review
AdS <sub>3</sub> Einstein gravity and boundary description: pedagogical review Open
We review the various aspects of the 3D Einstein gravity theory with a negative cosmological constant and its boundary description. We also explore its connections to conformal field theories (CFTs), modular symmetry, and holography. It is…
View article: On the Backreaction of Dirac Matter in JT Gravity and SYK Model
On the Backreaction of Dirac Matter in JT Gravity and SYK Model Open
We model backreaction in AdS$_2$ JT gravity via a proposed boundary dual Sachdev-Ye-Kitaev quantum dot coupled to Dirac fermion matter and study it from the perspective of quantum entanglement and chaos. The boundary effective action accou…
View article: AdS$_3$ Einstein Gravity and Boundary Description: Pedagogical Review
AdS$_3$ Einstein Gravity and Boundary Description: Pedagogical Review Open
We review the various aspects of the 3D Einstein gravity theory with a negative cosmological constant and its boundary description. We also explore its connections to CFTs, modular symmetry, and holography. It is worth noting that this par…
View article: (p − 1)-bracket for Dp-branes in large R-R field background
(p − 1)-bracket for Dp-branes in large R-R field background Open
A bstract The volume-preserving diffeomorphism is a key feature that characterizes the large constant R-R ( p − 1)-form field background in a D p -brane theory. It represents a symmetry of the theory that preserves the volume of space. To …
View article: Study of Asymptotic Free Scalar Field Theories from Adaptive Perturbation Method
Study of Asymptotic Free Scalar Field Theories from Adaptive Perturbation Method Open
We focus on the behavior of (2+1)d $λϕ^4$ and (5+1)d $λϕ^3$ or $λ|ϕ|^3$ theories in different regimes and compare the results obtained from the adaptive perturbation method with those obtained from lattice simulation. These theories are si…
View article: Modular Average and Weyl Anomaly in Two-Dimensional Schwarzian Theory
Modular Average and Weyl Anomaly in Two-Dimensional Schwarzian Theory Open
The gauge formulation of Einstein gravity in AdS$_3$ background leads to a boundary theory that breaks modular symmetry and loses the covariant form. We examine the Weyl anomaly for the cylinder and torus manifolds. The divergent term is t…
View article: $(p-1)$-Bracket for D$p$-branes in Large R-R Field Background
$(p-1)$-Bracket for D$p$-branes in Large R-R Field Background Open
The volume-preserving diffeomorphism is a key feature that characterizes the large constant R-R ($p-1$)-form field background in a D$p$-brane theory. It represents a symmetry of the theory that preserves the volume of space. To describe th…
View article: Quantifying Quantum Entanglement in Two-Qubit Mixed State from Connected Correlator
Quantifying Quantum Entanglement in Two-Qubit Mixed State from Connected Correlator Open
Our study employs a connected correlation matrix to quantify Quantum Entanglement. The matrix encompasses all necessary measures for assessing the degree of entanglement between particles. We begin with a three-qubit state and involve obta…
View article: Explore the Origin of Spontaneous Symmetry Breaking from Adaptive Perturbation Method
Explore the Origin of Spontaneous Symmetry Breaking from Adaptive Perturbation Method Open
Spontaneous symmetry breaking occurs when the underlying laws of a physical system are symmetric, but the vacuum state chosen by the system is not. The (3+1)d $ϕ^4$ theory is relatively simple compared to other more complex theories, makin…
View article: Emergence of Time from Unitary Equivalence
Emergence of Time from Unitary Equivalence Open
We discuss the concept of unitary equivalence $\hat{H}\sim\hat{U}^{\dagger}\hat{H}_{\mathrm{mod}}\hat{U}$ between the modular Hamiltonian $\hat{H}_{\mathrm{mod}}$ and the subsystem Hamiltonian $\hat{H}$ in the context of realizing the emer…
View article: Naive lattice fermion without doublers
Naive lattice fermion without doublers Open
We discuss the naive lattice fermion without the issue of doublers. A local\nlattice massless fermion action with chiral symmetry and hermiticity cannot\navoid the doubling problem from the Nielsen-Ninomiya theorem. Here we adopt the\nforw…
View article: Violation $\neq$ Quantum
Violation $\neq$ Quantum Open
The only entanglement quantity is concurrence in a 2-qubit pure state. The maximum violation of Bell's inequality is monotonically increasing for this quantity. Therefore, people expect that pure state entanglement is relevant to the quant…
View article: Non-Locality$\neq$Quantum Entanglement
Non-Locality$\neq$Quantum Entanglement Open
The unique entanglement measure is concurrence in a 2-qubit pure state. The maximum violation of Bell's inequality is monotonically increasing for this quantity. Therefore, people expect that pure state entanglement is relevant to the non-…
View article: Cubic action in double field theory
Cubic action in double field theory Open
We study target space theory on a torus for the states with $N_L+N_R=2$\nthrough Double Field Theory. The spin-two Fierz-Pauli fields are not allowed\nwhen all spatial dimensions are non-compact. The massive states provide both\nnon-vanish…
View article: Adaptive perturbation method in quantum mechanics
Adaptive perturbation method in quantum mechanics Open
The adaptive perturbation chooses a non-standard decomposition. The Hamiltonian becomes a sum of solvable and perturbation parts. We calculate the spectrum using the adaptive perturbation method at the leading-order to compare to numerical…
View article: Tripartite entanglement and quantum correlation
Tripartite entanglement and quantum correlation Open
A bstract We provide an analytical tripartite-study from the generalized R -matrix. It provides the upper bound of the maximum violation of Mermin’s inequality. For a generic 2-qubit pure state, the concurrence or R -matrix characterizes t…
View article: Tripartite Entanglement and Quantum Correlation
Tripartite Entanglement and Quantum Correlation Open
We provide an analytical tripartite-study from the generalized $R$-matrix. It provides the upper bound of the maximum violation of Mermin's inequality. For a generic 2-qubit pure state, the concurrence or $R$-matrix characterizes the maxim…
View article: More stringy effects in target space from Double Field Theory
More stringy effects in target space from Double Field Theory Open
A bstract In Double Field Theory, the mass-squared of doubled fields associated with bosonic closed string states is proportional to N L + N R − 2. Massless states are therefore not only the graviton, anti-symmetric, and dilaton fields wit…
View article: Accurate Study from Adaptive Perturbation Method
Accurate Study from Adaptive Perturbation Method Open
The adaptive perturbation method decomposes a Hamiltonian by the diagonal elements and non-diagonal elements of the Fock state. The diagonal elements of the Fock state are solvable but can contain the information about coupling constants. …