A classical field theory is a physical theory that predicts how one or more physical fields interact with matter through field equations, without considering effects of quantization; theories that incorporate quantum mechanics are called quantum field theories. In most contexts, 'classical field theory' is specifically intended to describe electromagnetism and gravitation, two of the fundamental forces of nature.
A physical field can be thought of as the assignment of a physical quantity at each point of space and time. For example, in a weather forecast, the wind velocity during a day over a country is described by assigning a vector to each point in space. Each vector represents the direction of the movement of air at that point, so the set of all wind vectors in an area at a given point in time constitutes a vector field. As the day progresses, the directions in which the vectors point change as the directions of the wind change.
The first field theories, Newtonian gravitation and Maxwell's equations of electromagnetic fields were developed in classical physics before the advent of relativity theory in 1905, and had to be revised to be consistent with that theory. Consequently, classical field theories are usually categorized as non-relativistic and relativistic. Modern field theories are usually expressed using the mathematics of tensor calculus. A more recent alternative mathematical formalism describes classical fields as sections of mathematical objects called fiber bundles.
Some of the simplest physical fields are vector force fields. Historically, the first time that fields were taken seriously was with Faraday's lines of force when describing the electric field. The gravitational field was then similarly described.
The first field theory of gravity was Newton's theory of gravitation in which the mutual interaction between two masses obeys an inverse square law. This was very useful for predicting the motion of planets around the Sun.
Any massive body M has a gravitational field g which describes its influence on other massive bodies.
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A classical field theory is a physical theory that predicts how one or more physical fields interact with matter through field equations, without considering effects of quantization; theories that incorporate quantum mechanics are called quantum field theories. In most contexts, 'classical field theory' is specifically intended to describe electromagnetism and gravitation, two of the fundamental forces of nature. A physical field can be thought of as the assignment of a physical quantity at each point of space and time.
La théorie lagrangienne des champs est un formalisme de la théorie classique des champs. C'est l'analogue de la théorie des champs de la mécanique lagrangienne. La mécanique lagrangienne est utilisée pour analyser le mouvement d'un système de particules discrètes chacune ayant un nombre fini de degrés de liberté. La théorie lagrangienne des champs s'applique aux continus et aux champs, qui ont un nombre infini de degrés de liberté.
En physique, un champ est la donnée, pour chaque point de l'espace-temps, de la valeur d'une grandeur physique. Cette grandeur physique peut être scalaire (température, pression...), vectorielle (vitesse des particules d'un fluide, champ électrique...) ou tensorielle (comme le tenseur de Ricci en relativité générale). Un exemple de champ scalaire est donné par la carte des températures d'un bulletin météorologique télévisé : la température atmosphérique prend, en chaque point, une valeur particulière.
The goal of the course is to introduce relativistic quantum field theory as the conceptual and mathematical framework describing fundamental interactions.
The goal of the course is to introduce relativistic quantum field theory as the conceptual and mathematical framework describing fundamental interactions.
This course introduces statistical field theory, and uses concepts related to phase transitions to discuss a variety of complex systems (random walks and polymers, disordered systems, combinatorial o
Couvre les théories de jauge, la physique moderne des particules, le modèle standard et le contenu du champ.
Couvre les bases de la théorie statistique des champs, en se concentrant sur les modèles d'Ising et la théorie de Ginsburg-Landau.
Explore la dérivation des courants conservés dans la théorie des champs classique et quantique, en mettant l'accent sur les symétries et les équations du mouvement.
Why are classical theories often sufficient to describe the physics of our world even though everything around us is entirely composed of microscopic quantum systems? The boundary between these two fu