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Philipsmett
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In qft electron can be considered as composite excitation in several fields?
Philipsmett said:In qft electron can be considered as composite excitation in several fields?
king vitamin said:Things get a little subtle because you often want to define "renormalized" fields, and I believe you can do so such that the physical electron is purely made up by an appropriately defined "renormalized electron field." This is probably what the earlier comment meant
Yes basically. Though the field of that electron is an excitement of is a much more complex object than ##\psi_R##, the renormalized version of the Lagrangian spinor field. However these fields are very complex mathematically and have electromagnetic properties very different from what classic electrodynamics would suggest.king vitamin said:That is, if you wrote down the state of an electron in the Schrödinger representation, defining it as the least massive charge -ee eigenstate of the Standard Model Hamiltonian, it would be a nontrivial wave functional of the electron and photon fields (and once again, some small contribution from all other fields).
Things get a little subtle because you often want to define "renormalized" fields, and I believe you can do so such that the physical electron is purely made up by an appropriately defined "renormalized electron field."
If an electron can be a combination of different fields, can electrons interact not only through an electromagnetic force, but also through a strong or weak force?DarMM said:Yes basically. Though the field of that electron is an excitement of is a much more complex object than ##\psi_R##, the renormalized version of the Lagrangian spinor field. However these fields are very complex mathematically and have electromagnetic properties very different from what classic electrodynamics would suggest.
This is basically because a proper non-perturbative electron in QED is very different from what it appears like in perturbative QED, fortunately the details don't affect perturbative scattering calculations, so aren't relevant to most experiments.
Tell me, for example, if an electron is the excitation of several fields, can it lose its charge?DarMM said:Well the electron interacts with the weak force, you'd see this just from the standard model interaction terms even without going into what fields it's an excitement of.
The electron is an excitement of several of the Lagrangian fields, but at the same time is also an excitation of a single electron field that one can define, even though this field doesn't appear in the Lagrangian. So whether it's an excitation of one or several fields depends on what you take as your fundamental fields when writing the theory.
No, that's conservation of electric charge.Philipsmett said:Tell me, for example, if an electron is the excitation of several fields, can it lose its charge?
Electrons are fundamental particles that play a crucial role in quantum field theory. They are the building blocks of matter and are responsible for many of the properties and interactions of particles at the quantum level.
In quantum field theory, electrons are described as excitations of a quantum field. This means that they are not discrete particles, but rather fluctuations in a continuous field that permeates all of space.
The Higgs field is a fundamental field that is responsible for giving particles their mass. In quantum field theory, the Higgs field interacts with the electron field, giving electrons their mass and determining their behavior.
Yes, according to the principles of quantum mechanics, electrons can exhibit both particle-like and wave-like behavior. In quantum field theory, electrons are described as both particles and waves, depending on the context of the experiment or observation.
In quantum field theory, electrons are described as occupying different energy states within the electron field. These energy states correspond to different quantum numbers, which determine the properties and behavior of the electrons in a given system.