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A field can be classified as a scalar field, a vector field, a spinor field or a tensor field according to whether the represented physical quantity is a scalar, a vector, a spinor, or a tensor, respectively. A field has a consistent tensorial character wherever it is defined: i.e. a field cannot be a scalar field somewhere and a vector field ...
In quantum field theory, an operator valued distribution is a free field if it satisfies some linear partial differential equations such that the corresponding case of the same linear PDEs for a classical field (i.e. not an operator) would be the Euler–Lagrange equation for some quadratic Lagrangian.
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 effects of quantization; theories that incorporate quantum mechanics are called quantum field theories.
Field theory (physics), a physical theory which employs fields in the physical sense, consisting of three types: Classical field theory, the theory and dynamics of classical fields; Quantum field theory, the theory of quantum mechanical fields; Statistical field theory, the theory of critical phase transitions; Grand unified theory
In physics, a unified field theory (UFT) is a type of field theory that allows all fundamental forces and elementary particles to be written in terms of a single type of field. According to modern discoveries in physics, forces are not transmitted directly between interacting objects but instead are described and interpreted by intermediary ...
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Classical unified field theories are attempts to create a unified field theory based on classical physics. In particular, unification of gravitation and electromagnetism was actively pursued by several physicists and mathematicians in the years between the two World Wars. This work spurred the purely mathematical development of differential ...
Particle physics and representation theory; Partition function (quantum field theory) Pasterski–Strominger–Zhiboedov triangle; Path integral formulation; Path-ordering; Pauli–Lubanski pseudovector; Pauli–Villars regularization; Photomagneton; Planck scale; Pohlmeyer charge; Poincaré group; Pole mass; Primon gas; Propagator