Results 91 to 100 of about 76,709 (184)

Self-dual instantons and gravitating dyons in non-Abelian ModMax theory

Journal of High Energy Physics
Motivated by the recent interest in conformal and duality invariant nonlinear electrodynamics, we study the non-Abelian extension of ModMax electrodynamics.
Fabrizio Canfora, Cristóbal Corral, Borja Diez, Luis Guajardo, Julio Oliva   +4 more
doaj   +1 more source

Geometric duality between effective field theories. Part I. Scattering amplitudes

Journal of High Energy Physics
We propose a novel type of duality that connects a sequence of well-known theories with even-multiplicity scalar amplitudes: it relates the Yang-Mills theory coupled to a specific scalar matter sector to the nonlinear sigma model on a symmetric coset ...
Tomáš Brauner, Yang Li, Diederik Roest, Tianzhi Wang   +3 more
doaj   +1 more source

One dimensional Dirac equation with quadratic nonlinearities

Discrete & Continuous Dynamical Systems - A, 2005
The author considers the \(1\)-dimensional Cauchy problem of Dirac equations with quadratic nonlinear term: \[ (i\gamma^0 \partial_t +i \gamma^1 \partial_x) u+mu=F(u), \quad u(0,x)=\phi(x), \leqno (\text{NLD})_m \] where \(m\) is a mass and nonnegative, \(u(t,x)\), \(t,x \in \mathbb{R}\), is an unknown function with values in \(\mathbb{C}^2\), \(\gamma^
openaire   +2 more sources

Integration of the Loaded Negative Order Nonlinear Schrodinger Equation in the Class of Periodic Functions

Известия Иркутского государственного университета: Серия "Математика"
In this paper, we consider the loaded negative order nonlinear Schrodinger equation (NSE) in the class of periodic functions. It is shown that the loaded negative order nonlinear Schrodinger equation can be integrated by the inverse spectral problem ...
M. M. Khasanov, I. D. Rakhimov, D. B. Azimov   +2 more
doaj   +1 more source

Homogeneous quantum electrodynamic turbulence [PDF]

The electromagnetic field equations and Dirac equations for oppositely charged wave functions are numerically time-integrated using a spatial Fourier method.
Shebalin, John V.
core   +1 more source

Periodic solutions for nonlinear Dirac equation with superquadratic nonlinearity

Electronic Journal of Differential Equations, 2016
Summary: This article concerns the periodic solutions for a nonlinear Dirac equation. Under suitable assumptions on the nonlinearity, we show the existence of nontrivial and ground state solutions.
Jian Zhang, Qiming Zhang, Xianhua Tang, Wen Zhang   +3 more
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Normalized solutions for a nonlinear Dirac equation

Journal of Differential Equations
We prove the existence of a normalized, stationary solution $Ψ\colon \mathbb{R}^{3} \to \mathbb{C}^{4}$ with frequency $w > 0$ of the nonlinear Dirac equation. The result covers the case in which the nonlinearity is the gradient of a function of the form \begin{equation*} F(Ψ) = a|(Ψ, γ^{0}Ψ)|^{\fracα{2}} + b|(Ψ, γ^{1}γ^{2} γ^{3} Ψ)|^{\fracα{2 ...
Coti Zelati, Vittorio, Nolasco, Margherita   +1 more
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Nonlinear Amplitude Maxwell-Dirac Equations. Optical Leptons

, 2003
We apply the method of slowly-varying amplitudes of the electrical and magnet fields to integro-differential system of nonlinear Maxwell equations. The equations are reduced to system of differential Nonlinear Maxwell amplitude Equations (NME). Different orders of dispersion of the linear and nonlinear susceptibility can be estimated. This method allow
openaire   +2 more sources

A Clarification on Quantum-Metric-Induced Nonlinear Transport. [PDF]

Adv Sci (Weinh)
Qiang XB, Liu T, Gao ZX, Lu HZ, Xie XC.
europepmc   +1 more source

Exploring potential hidden aspects of quantum field theory through numerical solution of the Klein-Gordon equation using the Yee algorithm. [PDF]

Sci Rep
Honarbakhsh B.
europepmc   +1 more source