In mathematical physics, covariant classical field theory represents classical fields by sections of fiber bundles, and their dynamics is phrased in the...

A classical field theory is a physical theory that predicts how one or more fields in physics interact with matter through field equations, without considering...

random field well enough as a linear map from a space of functions into the real numbers. Conformal field theory Covariant Hamiltonian field theory Field strength...

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

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

one finds covariant string field theories. There are also hybrid string field theories, known as covariantized light-cone string field theories which use...

to unify his general theory of relativity with electromagnetism. Einstein attempted to create a classical unified field theory, rejecting quantum mechanics...

Coriolis effect.) The "gauge covariant" version of a gauge theory accounts for this effect by introducing a gauge field (in mathematical language, an...

The covariant formulation of classical electromagnetism refers to ways of writing the laws of classical electromagnetism (in particular, Maxwell's equations...

nature – a unified field theory. Classical unified field theories are attempts to create a unified field theory based on classical physics. In particular...

generalized the classical directional derivative of vector fields on a manifold. This new derivative – the Levi-Civita connection – was covariant in the sense...

The theory of special relativity plays an important role in the modern theory of classical electromagnetism. It gives formulas for how electromagnetic...

Classification of electromagnetic fields Covariant formulation of classical electromagnetism Electromagnetic stress–energy tensor Gluon field strength tensor Ricci...

variations. For instance, this is the case of classical field theory on fiber bundles (covariant classical field theory). The variational bicomplex is a cochain...

parameterized by ghosts. This is the case of covariant classical field theory and Lagrangian BRST theory. Noether's second theorem Emmy Noether Lagrangian...

physics Yang–Mills theory and the mass gap. Quantum particles described by the theory have mass but the classical waves of the field travel at the speed...

Verch, Rainer (2003). "The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory". Communications in Mathematical Physics...

elementary particles. At the same time, classical gauge theory admits comprehensive geometric formulation where gauge fields are represented by connections on...

The Chern–Simons theory is a 3-dimensional topological quantum field theory of Schwarz type. It was discovered first by mathematical physicist Albert Schwarz...

field theory in curved spacetime (QFTCS) is an extension of quantum field theory from Minkowski spacetime to a general curved spacetime. This theory uses...

generally covariant theories describes a spacetime endowed with both a metric and a unit timelike vector field named the aether. The aether in this theory is...

to a classically covariant formulation known as geometrized Newtonian gravitation. Attempts to create a unified field theory based on classical physics...

tensor theory Multilinear projection One-form Tensor product of modules Application of tensor theory in engineering Continuum mechanics Covariant derivative...

that explicitly. Kronecker delta Levi-Civita symbol Covariant tensor Contravariant tensor The classical interpretation is by components. For example, in...

In physics, Kaluza–Klein theory (KK theory) is a classical unified field theory of gravitation and electromagnetism built around the idea of a fifth dimension...

to a renaissance of quantum field theory. Quantum field theory results from the combination of classical field theory, quantum mechanics, and special relativity...

mechanics) can be formulated as a covariant classical field theory (in particular covariant Hamiltonian field theory) on X = R {\displaystyle X=\mathbb...

Marsden, Richard Montgomery: "Momentum Maps and Classical Relativistic Fields. Part I: Covariant Field Theory" arXiv:physics/9801019 Cornelius Paufler, Hartmann...

LQG has been done in the covariant formulation of the theory, called "spin foam theory." The present version of the covariant dynamics is due to the convergent...

In the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution...