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On Green’s Functions for Isotropic Metamaterials
The Green’s functions are compared for the Maxwell, Beltrami and Helmholtz equations as applied to effective infinite isotropic media, including...
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A Green’s Function Proof of the Positive Mass Theorem
In this paper, a new proof of the Positive Mass Theorem is established through a newly discovered monotonicity formula, holding along the level sets...
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A complete set of the dimension-8 Green’s basis operators in the Standard Model effective field theory
We present a complete and independent off-shell Green’s basis of the dimension 8 operators in the Standard Model effective field theory (SMEFT). We...
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Relativistic linear oscillator under the action of a constant external force. Transition amplitudes and the Green’s function
AbstractWe discuss an exactly solvable relativistic model of a nonrelativistic linear harmonic oscillator in the presence of a constant external...
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Analytical Green’s functions for continuum spectra
Green’s functions with continuum spectra are a way of avoiding the strong bounds on new physics from the absence of new narrow resonances in...
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Finding Exponential Product Formulas of Higher Orders
In the present article, we review the progress in the last two decades of the work on the Suzuki-Trotter decomposition, or the exponential product...
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Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature
AbstractWe discuss microscopic foundations of dissipation arising in a model Fermi or Bose system with weak local interaction. We consider the...
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Electromagnetic Vector Monochromatic Diffraction Fields and Fields of Charges in Media
AbstractMonochromatic electromagnetic fields are considered inside an arbitrarily chosen volume both in homogeneous and inhomogeneous media. Formulas...
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Young’s Single- and Double-Slit Experiments in Terms of the Feynman Amplitudes, Green’s Functions, and Photon Coordinate Wave Functions
AbstractThe Young’s single- and double-slit experiments are explained using six-component quantum and one-component quasi-classical photon wave...
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Holographic thermal correlators for hyperbolic CFTs
We use holography to compute the exact form of retarded Green’s functions for a scalar operator with conformal dimension ∆ in a thermal CFT and in...
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Dispersion formulas in QFTs, CFTs and holography
We study momentum space dispersion formulas in general QFTs and their applications for CFT correlation functions. We show, using two independent...
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A brief review of thermal transport in mesoscopic systems from nonequilibrium Green’s function approach
With the rapidly increasing integration density and power density in nanoscale electronic devices, the thermal management concerning heat generation...
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Vector Monochromatic Diffraction Fields and Fields of Charges in Electrodynamics
AbstractIn previous works, the electromagnetic field in an arbitrarily chosen volume is represented in vector form including surface and volume...
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Green’s Functions
Green’s functions provide a simple and elegant way to solve differential equations, such as the wave equation in electrodynamics, and play an...
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Point Charge between Two Plane-Parallel Metal Plates
AbstractThis article is in response to a reference to my work as a work in which the expression for the density of the charge induced by the point...
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Exact spin states and analytic formulas for nonequilibrium spin transport in a three-site one-dimensional system with interacting electrons
AbstractWe choose a typical three-site one-dimensional (1D) quantum chain system to deduce exact spin states and nonequilibrium spin transport...
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Diffraction Fields and Fields of Charges, Expressed in Terms of Hertz Vector in Electrodynamics
AbstractIn the first part of this work, using the found vector Green’s function, the electromagnetic fields in an arbitrarily chosen volume are...
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Vector Non-Stationary Electromagnetic Diffraction Fields and Fields of Charges in Media
AbstractVector non-stationary diffraction electromagnetic fields and fields of charges in an arbitrarily chosen volume in both homogeneous and...
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Extension of the HKLL bulk reconstruction for small ∆
We re-analyse the bulk reconstruction for a scalar field in Lorentzian AdS spacetime, both for the case of even and odd dimensions, for an extended...