Quantum Field in a sentence

Dirac's approach is also called second quantization or quantum field theory ; citation citation citation earlier quantum mechanical treatments only treat material particles as quantum mechanical, not the electromagnetic field.

In quantum field theory, quantum mechanical interactions between particles are described by interaction terms between the corresponding underlying quantum fields.

Merging general relativity and quantum mechanics (or quantum field theory ) into a more general theory of quantum gravity is an area of active research.

Semi-classical quantum gravity Quantum field theory on curved (non-Minkowskian) backgrounds, while not a full quantum theory of gravity, has shown many promising early results.

The business of quantum field theory is to write down a field that is, like a classical field, a function defined over space and time, but which also accommodates the observations of quantum mechanics.

From the point of view of quantum field theory, particles are identical if and only if they are excitations of the same underlying quantum field.

In such situations, the quantum field theory can be constructed by examining the mechanical properties of the classical field and guessing the corresponding quantum theory.

Technically, the microscopic causality postulate of axiomatic quantum field theory implies the impossibility of superluminal communication using any phenomena whose behavior can be described by orthodox quantum field theory.

The renormalization procedure only works for a certain class of quantum field theories, called renormalizable quantum field theories.

Visualization of a quantum field theory calculation showing virtual particles in the quantum vacuum.

For example, in quantum field theory "locality" means that quantum fields at different points of space do not interact with one another.

In addition to its applications to theoretical problems in quantum gravity, the AdS/CFT correspondence has been applied to a variety of problems in quantum field theory.

It follows, then, that spacetime has an elementary quantum granular structure at the Planck scale, which cuts off the ultraviolet infinities of quantum field theory.

Quantum field theory has driven the development of more sophisticated formulations of quantum mechanics, of which the one presented here is a simple special case.

Quantum field theory started with a theoretical framework that was built in analogy to quantum mechanics.

There are several shortcomings to the above description of quantum mechanics, which are addressed by quantum field theory.

These theories rely on general relativity to describe a curved background spacetime, and define a generalized quantum field theory to describe the behavior of quantum matter within that spacetime.

According to our present understanding, the electromagnetic field itself is produced by photons, which in turn result from a local gauge symmetry and the laws of quantum field theory (see the Second quantization and Gauge boson sections below).

Field operators We have previously mentioned that there can be more than one way of indexing the degrees of freedom in a quantum field.

In relativistic quantum field theory, just as in classical field theory, Minkowski spacetime is the fixed background of the theory.