Lagrangian Density

Some articles on lagrangian density:

Regularization (physics) - Realistic Regularization - Minimal Realistic Regularization
... Minkowski spacetime, starting with the original QED Lagrangian density ... path-integral formulation provides the most direct way from the Lagrangian density to the corresponding Feynman series in its Lorentz-invariant form ... The free-field part of the Lagrangian density determines the Feynman propagators, whereas the rest determines the vertices ...
Proca Action - Lagrangian Density
... The Lagrangian density is given by where c is the speed of light, ħ is the reduced Planck constant, and ∂μ is the 4-gradient ...
Derivation of The Mild-slope Equation - Linear Wave Theory
... wave theory, the vertical integral in the Lagrangian density is split into a part from the bed to the mean surface at and a second part from to the free ... elevation and only retaining quadratic terms in and the Lagrangian density for linear wave motion becomes The term in the vertical integral is dropped since it has become dynamically uninteresting it gives a zero ... a result with and The Euler–Lagrange equations for this Lagrangian density are, with representing either or Now is first taken equal to and then to As a result, the ...
Self-creation Cosmology - The New (2002) Theory - The Action Principle
... The following Lagrangian density contains the complete description of the SCC theory ... The Lagrangian density in the Jordan conformal frame is that of a scalar tensor theory with which produces the gravitational field equation given in the next section ... the conformal dual is given by which reduces down to the canonical GR Lagrangian density in vacuo, Note that, as the stress-energy tensor is not conserved in the Jordan conformal frame, then the ...
Goldstone Boson - A Simple Example
... a constraint of this sort is by including a potential interaction term in its Lagrangian density, and taking the limit as λ → ∞ (this is called the ... The corresponding Lagrangian density is given by and thus Note that the constant term m²v² in the Lagrangian density has no physical significance, and the other term in ...