Lagrangian field theory is a formalism in classical field theory. It is the field-theoretic analogue of Lagrangian mechanics. Lagrangian mechanics is used...

Hamiltonian field theory is the field-theoretic analogue to classical Hamiltonian mechanics. It is a formalism in classical field theory alongside Lagrangian field...

In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, does not change under local...

relativity, and quantum field theory. It is a question of determining the correct Lagrangian density to generate the correct field equation. The corresponding...

a formulation of classical mechanics Lagrangian (field theory), a formalism in classical field theory Lagrangian point, a position in an orbital configuration...

Quantum field theory Classical unified field theories Variational methods in general relativity Higgs field (classical) Lagrangian (field theory) Hamiltonian...

In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines field theory and the principle of relativity with ideas behind...

homology Lagrangian mechanics Relativistic Lagrangian mechanics Lagrangian (field theory) Lagrangian system Lagrangian mixing Lagrangian point Lagrangian relaxation...

In classical field theories, the Lagrangian specification of the flow field is a way of looking at fluid motion where the observer follows an individual...

the sine-Gordon Lagrangian. Korff, Christian (1 September 2000). "Lie algebraic structures in integrable models, affine Toda field theory". arXiv:hep-th/0008200...

theoretical viewpoint, field equations can be formulated in the frameworks of Lagrangian field theory, Hamiltonian field theory, and field theoretic formulations...

is fixed. In classical field theory, all field systems are the Lagrangian ones. A Lagrangian density L (or, simply, a Lagrangian) of order r is defined...

In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes...

resulting field theories are referred to as classical or quantum field theories. The dynamics of a classical field are usually specified by the Lagrangian density...

Chiral perturbation theory (ChPT) is an effective field theory constructed with a Lagrangian consistent with the (approximate) chiral symmetry of quantum...

In the field of mathematical optimization, Lagrangian relaxation is a relaxation method which approximates a difficult problem of constrained optimization...

spinor and gauge fields. Despite these being named quantum theories, the Lagrangians can be considered as those of a classical field theory. In order to formulate...

parameter functions is a cornerstone of contemporary field theory. A gauge symmetry of a Lagrangian L {\displaystyle L} is defined as a differential operator...

Floer homology—this is an application of Morse theory to the action functional for maps between Lagrangian submanifolds. In physics, the action describes...

in terms of a Maslov index for linear Lagrangian submanifolds. Wendl, Chris. "Lectures on Symplectic Field Theory". arXiv:1612.01009. V. I. Arnold, Characteristic...

evidence that Pauli developed the Lagrangian of a gauge field or the quantization of it. Because Pauli found that his theory "leads to some rather unphysical...

gauge theory and gauge gravitation theory exemplify irreducible Lagrangian field theories. Different variants of second Noether’s theorem state the one-to-one...

separation, this Lagrangian automatically demands an electromagnetic like interaction. One of the major results of the absorber theory is the elegant and...

quantum field theory, an auxiliary field is one whose equations of motion admit a single solution. Therefore, the Lagrangian describing such a field A {\displaystyle...

Noether's theorem, we find the implicit variation in the Lagrangian due to variation of fields. If the equation of motion for ψ , ψ ¯ {\displaystyle \psi...

Lagrangian (field theory) A function on the jet space of a fiber bundle. landscape The (conjectural) moduli space of all (vacuums of) string theories...

manifold geometric formulation of classical field theory and Lagrangian BRST theory where classical fields are represented by sections of fiber bundles...

G\rho (\mathbf {x} ,t)=\nabla ^{2}\phi (\mathbf {x} ,t).} See Lagrangian (field theory) for details. Physics portal Carl Friedrich Gauss Divergence theorem...

potential Q {\displaystyle Q} . Pilot wave theory is based on Hamilton–Jacobi dynamics, rather than Lagrangian or Hamiltonian dynamics. Using the Hamilton–Jacobi...

Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations...