In mathematical quantum field theory, a free quantum field refers to a field that is not subject to any interactions with other fields. This allows for simpler mathematical calculations and serves as a building block for more complex systems.
Examples of free quantum fields include the electromagnetic field, the Dirac field for describing electrons, and the scalar field used in the Higgs model. These fields are considered free because they do not interact with other fields in the theory.
A free quantum field is not subject to any interactions with other fields, while a bound quantum field is subject to interactions with other fields. This means that the dynamics and behavior of a free quantum field can be described independently, while a bound quantum field must be considered in relation to its interactions with other fields.
Free quantum fields serve as a fundamental building block for more complex systems in quantum field theory. By understanding the behavior and properties of free quantum fields, scientists can better understand the interactions and dynamics of more complex systems, such as bound quantum fields.
While free quantum fields are useful in simplifying calculations and understanding more complex systems, they do have limitations. For example, they cannot fully describe interactions between particles, and they do not take into account the effects of gravity. Therefore, free quantum fields are often used as a starting point for more advanced theories and models.
