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Sparse sampling and tensor network representation of two-particle Green's functions
Published 2020-01-01“…In this paper, we introduce a sparse sampling scheme in the Matsubara frequency domain as well as a tensor network representation for two-particle Green's functions. …”
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Dispersion in Single-Wall Carbon Nanotube Film: An Application of Bogoliubov–Valatin Transformation for Hamiltonian Diagonalization
Published 2023-06-01“…The Hamiltonian of the film was derived using the many-particle green function technique in the Matsubara frequency formalism. The periodic array of SWCNTs was embedded in a dielectric with comparatively higher permittivity than the substrate and the superstrate such that the SWCNT film became independent with the axis of quantization but keeps the thickness as the variable parameter, making the film neither two-dimensional nor three-dimensional, but transdimensional. …”
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Sparse modeling approach to obtaining the shear viscosity from smeared correlation functions
Published 2020-07-01“…In this work, we demonstrate the sparse modeling analysis in the intermediate-representation basis (IR basis), which connects between the Matsubara frequency data and real frequency data. It works well even using very limited data of C (t, τ ) only in the fiducial window of the gradient flow. …”
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Adding new branches to the “Christmas tree” of the quasinormal spectrum of black branes
Published 2019-04-01“…However, it is known that at zero coupling, the corresponding correlators generically have not one but multiple branch cuts separated by intervals proportional to the Matsubara frequency. This suggests the existence of multiple branches of the “Christmas tree” spectrum in dual gravity. …”
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Analytical solution for time integrals in diagrammatic expansions: Application to real-frequency diagrammatic Monte Carlo
Published 2021-04-01“…This is made possible by symbolic algebra algorithms, which can be used to analytically solve the internal Matsubara frequency summations of Feynman diagrams. In this paper, we take a different approach and show that it yields improved results. …”
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Non-perturbative intertwining between spin and charge correlations: A ``smoking gun'' single-boson-exchange result
Published 2024-02-01“…In particular, we unambiguously identify the origin of the significant suppression of its diagonal entries in (Matsubara) frequency space and the slight increase of the off-diagonal ones which cause the breakdown. …”
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Adding new branches to the “Christmas tree” of the quasinormal spectrum of black branes
Published 2021“…However, it is known that at zero coupling, the corresponding correlators generically have not one but multiple branch cuts separated by intervals proportional to the Matsubara frequency. This suggests the existence of multiple branches of the “Christmas tree” spectrum in dual gravity. …”
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Quantum chaos, pole-skipping and hydrodynamics in a holographic system with chiral anomaly
Published 2020-03-01“…We find that the sum of wavenumbers corresponding to pole-skipping points at a specific Matsubara frequency is a universal quantity, which is independent of the scaling dimension of the dual boundary operator. …”
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The Casimir Interaction between Spheres Immersed in Electrolytes
Published 2021-05-01“…Since ionized solutions typically correspond to a plasma frequency much smaller than <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>k</mi><mi>B</mi></msub><mi>T</mi><mo>/</mo><mi>ħ</mi></mrow></semantics></math></inline-formula> at room temperature, only the contribution of the zeroth Matsubara frequency is affected by ionic screening. We follow the electrostatic fluctuational approach and derive the zero-frequency contribution from the linear Poisson-Boltzmann (Debye-Hückel) equation for the geometry of two spherical surfaces of arbitrary radii. …”
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Analogue of the pole-skipping phenomenon in acoustic black holes
Published 2022-02-01“…The frequencies of these special points are located at negative integer (imaginary) Matsubara frequencies $$\omega =-i2\pi Tn$$ ω = - i 2 π T n , which are consistent with the imaginary frequencies of quasinormal modes (QNMs). …”
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Finite temperature Landau gauge lattice quark propagator
Published 2019-09-01“…The propagator form factors are investigated for temperatures above and below the gluon deconfinement temperature $$T_c$$ Tc and for the various Matsubara frequencies. Significant differences between the functional behaviour below and above $$T_c$$ Tc are observed both for the quark wave function and the running quark mass. …”
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Thermal dynamics on the lattice with exponentially improved accuracy
Published 2018-03-01“…By distinguishing initial conditions from quantum dynamics it provides access to correlation functions also outside of the conventional Matsubara frequencies ωn=2πnT. In particular it resolves their frequency dependence between ω=0 and ω1=2πT, where the thermal physics ω∼T of e.g. transport phenomena is dominantly encoded. …”
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Fermionic pole-skipping in holography
Published 2020-07-01“…We find that at negative imaginary Matsubara frequencies and special values of the wavenumber, there are multiple solutions to the bulk equations of motion that are ingoing at the horizon and thus the boundary Green’s function is not uniquely defined. …”
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The analytic renormalization group
Published 2016-08-01“…Finite temperature Euclidean two-point functions in quantum mechanics or quantum field theory are characterized by a discrete set of Fourier coefficients Gk, k∈Z, associated with the Matsubara frequencies νk=2πk/β. We show that analyticity implies that the coefficients Gk must satisfy an infinite number of model-independent linear equations that we write down explicitly. …”
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The Casimir Force between Two Graphene Sheets: 2D Fresnel Reflection Coefficients, Contributions of Different Polarizations, and the Role of Evanescent Waves
Published 2023-10-01“…The explicit expressions for both dielectric permittivities as the functions of the 2D wave vector, frequency, and temperature are written along the real frequency axis in the regions of propagating and evanescent waves and at the pure imaginary Matsubara frequencies using the polarization tensor of graphene. …”
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Horizon constraints on holographic Green’s functions
Published 2020-01-01“…We show that at negative imaginary Matsubara frequencies and appropriate complex values of the wavenumber the retarded Green’s functions of generic operators are not uniquely defined, due to the lack of a unique ingoing solution for the bulk perturbations. …”
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Horizon constraints on holographic Green’s functions
Published 2021“…We show that at negative imaginary Matsubara frequencies and appropriate complex values of the wavenumber the retarded Green’s functions of generic operators are not uniquely defined, due to the lack of a unique ingoing solution for the bulk perturbations. …”
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Pole-skipping of holographic correlators: aspects of gauge symmetry and generalizations
Published 2023-01-01“…In general, in different cases all the points are located at the Matsubara frequencies with corresponding wave vectors dispersed in the momentum space, displaying different types of patterns. …”
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Probing the screening of the Casimir interaction with optical tweezers
Published 2021-07-01“…At the distance range probed experimentally, the interaction arises mainly from the unscreened transverse magnetic contribution in the zero-frequency limit, with nonzero Matsubara frequencies providing a negligible contribution. …”
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