field theory

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The branch of mathematics dealing with the algebraic structure of fields
In mathematics, the study of the structure of a set of objects (e.g., numbers) with two combining operations (e.g., addition and multiplication). Such a system, known as a field, must satisfy certain properties: associative law, commutative law, distributive law, an additive identity ("zero"), a muliplicative identity ("one"), additive inverses (see inverse function), and multiplicative inverses for nonzero elements. The sets of rational numbers, real numbers, and complex numbers are fields under ordinary addition and multiplication. The investigation of polynomial equations and their solutions led to the development of field theory
(physics) a theory that explains a physical phenomenon in terms of a field and the manner in which it interacts with matter or with other fields
ligand field theory
a theory, a combination of the earlier crystal field theory with molecular orbital theory, that describes the structure of coordination compounds
mean field theory
A many-body system with interactions is generally very difficult to solve exactly, except for extremely simple cases (Gaussian field theory, 1D Ising model.) The great difficulty (e.g. when computing the partition function of the system) is the treatment of combinatorics generated by the interaction terms in the Hamiltonian when summing over all states. The goal of mean field theory (MFT, also known as self-consistent field theory) is to resolve these combinatorial problems
sef-consistent field theory
A many-body system with interactions is generally very difficult to solve exactly, except for extremely simple cases (Gaussian field theory, 1D Ising model.) The great difficulty (e.g. when computing the partition function of the system) is the treatment of combinatorics generated by the interaction terms in the Hamiltonian when summing over all states. The goal of mean field theory (MFT, also known as self-consistent field theory) is to resolve these combinatorial problems
quantum field theory
the branch of quantum physics that is concerned with the theory of fields; it was motivated by the question of how an atom radiates light as its electrons jump from excited states
quantum field theory
Theory that brings quantum mechanics and special relativity together to account for subatomic phenomena. In particular, the interactions of subatomic particles are described in terms of their interactions with fields, such as the electromagnetic field. However, the fields are quantized and represented by particles, such as photons for the electromagnetic field. Quantum electrodynamics is the quantum field theory that describes the interaction of electrically charged particles via electromagnetic fields. Quantum chromodynamics describes the action of the strong force. The electroweak theory, a unified theory of electromagnetic and weak forces, has considerable experimental support, and can likely be extended to include the strong force. Theories that include the gravitational force (see gravitation) are more speculative. See also grand unified theory, unified field theory
unified field theory
Attempt to describe all fundamental interactions between elementary particles in terms of a single theoretical framework (a "theory of everything") based on quantum field theory. So far, the weak force and the electromagnetic force have been successfully united in electroweak theory, and the strong force is described by a similar quantum field theory called quantum chromodynamics. However, attempts to unite the strong and electroweak theories in a grand unified theory have failed, as have attempts at a self-consistent quantum field theory of gravitation
field theory

    Hyphenation

    field the·o·ry

    Turkish pronunciation

    fild thiıri

    Pronunciation

    /ˈfēld ˈᴛʜēərē/ /ˈfiːld ˈθiːɜriː/

    Videos

    ... my equation.  That's just called String Field Theory.  It is an equation that allows you ...
    ... Unified Field Theory: A Theory of Everything   ...
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