On Lagrangian and non-Lagrangian conformal-invariant nonlinear electrodynamics

Effective Lagrangian for scale-invariant quantum electrodynamics.

Generalized Effective Lagrangian from Non-Commutative Electrodynamics and Vacuum Birefringence

The generalized effective Lagrangian of electromagnetic fields motivated by electrodynamics on non-commutative spaces has been considered. We find the canonical and symmetrical energy-momentum tensors and their non-zero traces. The propagation of a linearly polarized laser beam in the external transverse magnetic field is investigated. We evaluate induced ellipticity which allows us to obtain t...

Nonlinear Vibration Analysis of the Composite Cable using Perturbation Method and the Green-Lagrangian Nonlinear Strain

In this study, nonlinear vibration of a composite cable is investigated by considering nonlinear stress-strain relations. The composite cable is composed of an aluminum wire as reinforcement and a rubber coating as matrix. The nonlinear governing equations of motion are derived about to an initial curve and based on the fundamentals of continuum mechanics and the nonlinear Green-Lagrangian stra...

Trisecting non-Lagrangian theories

We propose a way to define and compute invariants of general smooth 4manifolds based on topological twists of non-Lagrangian 4d N = 2 and N = 3 theories in which the problem is reduced to a fairly standard computation in topological A-model, albeit with rather unusual targets, such as compact and non-compact Gepner models, asymmetric orbifolds, N = (2, 2) linear dilaton theories, “self-mirror” ...

Nonlinear Augmented Lagrangian and Duality Theory

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