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Philipsmett
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How does the electrons interact in QFT? if they are not localized? For example, when one electron repels another or does an atom repel another atom? How do electrons find each other for interaction?
How do two electrons interact if they are not localized?Orodruin said:I would just add that the interaction term of the electron field current ##\bar e \gamma^\mu e## is with the photon field. This is also true classically. Even classically charged particles do not interact by being in the same position, they interact through their interaction with the classical electromagnetic field.
Classically, electrons are localised, but they do not need to be in the same position to interact with each other. The reason for this is that they interact via their interactions with the electromagnetic field. Compare with the force between two magnets which is there even if they are not in the same place. You need to understand this in order to have any cance of understanding the quantum theory.Philipsmett said:How do two electrons interact if they are not localized?
That is, electron create around themselves disturbances in the electromagnetic field?Orodruin said:Classically, electrons are localised, but they do not need to be in the same position to interact with each other. The reason for this is that they interact via their interactions with the electromagnetic field. Compare with the force between two magnets which is there even if they are not in the same place. You need to understand this in order to have any cance of understanding the quantum theory.
Philipsmett said:That is, electron create around themselves disturbances in the electromagnetic field?
QFT stands for Quantum Field Theory. It is a theoretical framework that combines quantum mechanics and special relativity to describe the interactions between particles at the subatomic level.
In QFT, electrons are described as excitations of the electron field. These excitations interact with other fields, such as the electromagnetic field, through the exchange of virtual particles. This interaction is described by mathematical equations known as Feynman diagrams.
Symmetry plays a crucial role in QFT, as it allows us to predict the behavior of particles and their interactions. The symmetries of a system are described by mathematical equations known as gauge symmetries, which are essential in the development of QFT models.
In QFT, spin is described as an intrinsic property of particles. It is incorporated into the mathematical framework through the use of spinors, which are mathematical objects that represent the spin of a particle. The spin of a particle affects its interactions with other particles and fields.
While QFT has been incredibly successful in describing the interactions of particles at the subatomic level, it has some limitations. For example, it does not take into account the effects of gravity, and it cannot fully explain the behavior of particles at extremely high energies. These limitations have led to the development of more advanced theories, such as string theory and loop quantum gravity.