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Einstein-Hilbert action in its (1+1)-dimensionally reduced form (ongoing exercise)
}}{\pi} = \int d^2x \sqrt{%2D g}\varphi \left ( R^{(2)} %2B \frac{1}{2}\varphi^{%2D 2}(\partial_L \varphi)^2 %2B 2 \varphi^{%2D 1} \right ) &bg=ffffff&s=2.5)
 &bg=ffffff&s=0)
}}{\delta g^{ij}} \right )_{eff} = \varphi \left ( R_{ij}^{(2)} %2D \frac{1}{2} R^{(2)}g_{ij} \right ) %2D T_{ij}^{(2)} = \indent \indent \indent \indent \indent \indent \indent \indent \indent \indent \indent \indent 0 &bg=ffffff&s=2.5)
} %2D \frac{1}{2} R^{(2)}g_{ij} = \varphi^{%2D 1} T_{ij}^{(2)} &bg=ffffff&s=2.5)
The stress tensor
} = \nabla_i \partial_j \varphi %2D \frac{1}{2}\varphi^{%2D 1}(\partial_i \varphi) (\partial_j \varphi) %2D \left ( \nabla_L \partial^L \varphi %2D \frac{1}{4}\varphi^{%2D 1}(\partial_L \varphi)^2 %2D 1 \right )g_{ij} &bg=ffffff&s=2.5)
 &bg=ffffff&s=0)
}}{\delta \phi } \right )_{eff} = 2 \beta \left ( \varphi \left (R^{(2)} %2B \frac{1}{2}\varphi^{%2D 2}(\partial_L \varphi)^2 \right ) %2D \nabla_k \partial^k \varphi \right ) = \indent \indent \indent \indent \indent \indent \indent \indent \indent \indent \indent \indent 0 &bg=ffffff&s=2.5)
} %2B \frac{1}{2}\varphi^{%2D 1}(\partial_L \varphi)^2 &bg=ffffff&s=2.5)
(updated 22Feb2024 with revised title and abstract)
(01032024 updates)First Order Calculations of the Probability Amplitude for Higgs Boson to Electron-Positron Decay
From there we read off our interaction Hamiltonian of interest
(20.10.4)
}\left ( \bar{\psi}_2 , \psi_2 \right ) = y \int d^3 \vec{x}\bar{\psi}_2 \psi_2 \eta = \frac{m_\psi}{\beta}\int d^3 \vec{x}\bar{\psi}_2 \psi_2 \eta &bg=ffffff&s=2.5)
that we need as a field operator in (8), where we have dropped off the subscripts in the fermions for convenience.
Spotted right on is that such interaction is directly proportional to the fermion mass and the fermions involved here are lightweight so that the Yukawa coupling constant 
The Klein-Gordon field in two-dimensional Rindler space-time: 8November2022
The same old draft reformatted so it may have few pages of concise presentation. Some old words, phrases and sentences along with unnecessary equations have been deleted from the original draft and some clarifications on the constants and units involved have been carefully and shortly discussed. So far the new draft in two-column page layout has three pages and with regard to the Reference section it is possible that additional reference materials are to be added in the list as the research on the particular subject matter of this paper continues.
(18022024 Updates)Basic Zener Diode Discrete Gate Network: Applied Automation in Battery Charger
In addition, D1’s action similar to that of D2 is inhibited by the presence of diode D3 at the collector of Q1. This diode at the collector of Q1 prevents the gate terminal of the SCR1 from rendered at 0 potential whenever diode D1 conducts at range of battery voltages equal to or greater than its Zener voltage (plus the voltage drops mentioned earlier). The conduction of D1 in effect turns the collector of Q1 low (at 0 potential with respect to ground) but this zero potential at the collector cannot ground the SCR1 gate since this gate sees a reverse diode D3 that can be approximately represented by an infinitely high impedance ZD3. So SCR1 can continue conducting from its initial conducting state irrespective of the conducting state of D1 and the SCR1 is triggered off only when D2 conducts so as to render the collector of Q2 at zero potential (low) at range of battery voltages equal to or greater than D2 Zener voltage (plus the voltage drops earlier mentioned). The non-conducting state of SCR1 at this another instant can continue until it is triggered back on when the collector of Q1 goes high as D1 and Q1 turn off at those voltages below D1’s Zener voltage (plus the voltage drops of connected circuit elements). Note here that Q1’s collector side sees a forward diode D3 (with approximately zero-value impedance ZD3) and so in this ideal approximation this diode acts as a closed switch that connects the gate of SCR1 to the collector node of Q1 where this gate sees a positive triggering voltage VCC thus, turning SCR1 on provided that D2 and Q2 are also off. Also note here transistors Q1 and Q2 are biased in such a way that they will be at saturation to put their respective collectors at zero potential whenever they are conducting.
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