How Does QFT Describe or Predict the Position of a Particle?

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Quantum Field Theory (QFT) does not treat the position of a particle as an observable, instead viewing it as a parameter related to a collection of quantum harmonic oscillators. In QFT, particles are considered excitations of underlying fields, and the position operator is not typically emphasized as calculations are often performed in momentum space. The position operator, when defined, is replaced by the Newton-Wigner position operator for massive particles, but challenges arise in defining it for massless particles like photons. QFT primarily focuses on scattering amplitudes and interactions in energy-momentum space rather than position, indicating that the concept of position lacks physical meaning in this framework. Overall, QFT's treatment of position diverges significantly from traditional quantum mechanics.
  • #31
bhobba said:
In posting what I did I am thinking what I read in Srednicki page 10 which says it can be done - but is difficult - in fact he states:

'it turns out that any relativistic quantum physics that can be treated in one formalism can be treated in the other. Which we use is a matter of convenience and taste. And Quantum Field Theory, the formalism in which both position and time are both labels on operators, is much more convenient for most problems'

Perhaps you can clarify what is going on?
The formalism in which both space and time are operators is explained in string-theory books, and is summarized here:

http://www.physics.thetangentbundle.net/wiki/String_theory/relativistic_point_particle/action
 
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  • #32
Avodyne said:
The formalism in which both space and time are operators is explained in string-theory books, and is summarized here:

http://www.physics.thetangentbundle.net/wiki/String_theory/relativistic_point_particle/action

The link doesn't explain that, it only talks about the classical action, there isn't even quantization yet. And the question was how it is in QFT, no?
 
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  • #33
martinbn said:
The link doesn't explain that, it only talks about the classical action, there isn't even quantization yet.
True, but see
http://xxx.lanl.gov/abs/hep-th/0702060 [Found.Phys.39:1109-1138,2009]
especially Sec. 5.2.
 
  • #34
Avodyne said:
The formalism in which both space and time are operators is explained in string-theory books, and is summarized here:

http://www.physics.thetangentbundle.net/wiki/String_theory/relativistic_point_particle/action

In the first place this link is not about anything discussed here.

In the second place string theory explains nothing, that is the reason which is named TON (Theory Of Nothing) these days...
 
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