QFT Course: Electric & Magnetic Fields, but No Fields for Electrons?

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SUMMARY

The discussion centers on the distinction between classical and quantum field theories (QFT), specifically regarding the introduction of electric and magnetic fields versus fields for particles like electrons. Classical physicists utilized electric and magnetic fields due to the observable wave propagation of photons, which have wavelengths in the order of thousands of Angstroms. In contrast, massive particles such as electrons have significantly shorter wavelengths, making their wave propagation less noticeable. Additionally, photons, being bosons, can create macroscopic fields, while fermions, such as electrons, cannot generate similar field strengths.

PREREQUISITES
  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with the properties of bosons and fermions
  • Knowledge of wave-particle duality
  • Basic concepts of electromagnetic fields
NEXT STEPS
  • Research the implications of wave-particle duality in Quantum Field Theory
  • Study the differences between bosons and fermions in particle physics
  • Explore the mathematical framework of electromagnetic fields in classical physics
  • Investigate the concept of field strength in relation to particle types
USEFUL FOR

Students and researchers in physics, particularly those studying Quantum Field Theory, as well as educators looking to clarify the differences between classical and quantum descriptions of fields.

deadringer
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I'm studying a QFT course, and we've been asked to consider why classical physicists found it useful to introduce electric and magnetic fields, but not fields for electrons or other particles. I'm completely stumped, and would appreciate any hints. thanks
 
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The wave length of visible light is thousands of Angstroms so the wave propagation of photons was easily seen. Wave lengths of massive particles is much shorter, so their wave propagation was not noticed for a long time. Also, photons are bosons so macroscopic fields due to ~10^20 photons existed. Fermions cannot produce macroscopic field strengths.
 

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