The claimed precision of QED

In summary, Quantum Electrodynamics (QED) can predict certain quantities, such as the lamb shift and magnetic moment of the electron, with remarkable precision of 12 digits. However, this precision only applies to a limited spectrum of motions, specifically bound and scattering problems. QED is not able to accurately predict the motion of charged particles in electromagnetic fields with 12 digit accuracy due to the limitations of current technology.
  • #1
goran d
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It is claimed that QED could predict certain quantities, like the lamb shift and magnetic moment of electron with astonishing precision of 12 digits. My question is the following: does QED predict only a few things to this precision, or does it predict, this precisely, the entire arbitrary motion of charged particles in electromagnetic fields, in all situations? To what does such precision apply?
 
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  • #2
What you call "the entire arbitrary motion of charged particles in electromagnetic fields, in all situations" is really limited in Quantum Electrodynamics. It's either that one deals with so-called "bound problems" or "scattering problems". Due to the slow divergence of the perturbative expansion of the S-matrix elements, one can get very good numerical predictions. But only under this limited spectrum of "motions".
 
  • #3
dextercioby said:
What you call "the entire arbitrary motion of charged particles in electromagnetic fields, in all situations" is really limited in Quantum Electrodynamics. It's either that one deals with so-called "bound problems" or "scattering problems". Due to the slow divergence of the perturbative expansion of the S-matrix elements, one can get very good numerical predictions. But only under this limited spectrum of "motions".

Are there other types of motions to which QED does not apply?
 
  • #4
goran d said:
the entire arbitrary motion of charged particles in electromagnetic fields

To get 12 digit accuracy of the motion, you need 12 digit accuracy of the field. This is not possible with today's technology.
 

1. What is QED and why is it important in science?

QED stands for Quantum Electrodynamics and it is a quantum field theory that describes the interactions between electrons and photons. It is important in science because it provides a mathematical framework for understanding and predicting the behavior of these particles, which is crucial in many fields such as particle physics, cosmology, and chemistry.

2. How precise is QED in its predictions?

QED has been extensively tested and has shown to have an incredible level of precision in its predictions. It has been experimentally verified to an accuracy of 10 parts per billion, making it one of the most successful and precise theories in physics.

3. What factors contribute to the claimed precision of QED?

The claimed precision of QED is a result of various factors, including the rigorous mathematical framework it is based on, the use of renormalization techniques to account for infinities in calculations, and the incorporation of experimental data to refine and validate its predictions.

4. Can QED be applied to other particles besides electrons and photons?

Yes, QED has been successfully applied to other particles such as muons, quarks, and W and Z bosons. It is a fundamental theory that describes the interactions of all charged particles with each other and with electromagnetic fields.

5. Are there any limitations to the precision of QED?

While QED has shown to be extremely precise in its predictions, it is not a complete theory of particle interactions. It does not take into account the effects of gravity and it is not compatible with the theory of general relativity. Therefore, at very high energies or in extreme gravitational fields, QED may not accurately describe the behavior of particles.

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