Help with this Standard Model demonstration please

Click For Summary
SUMMARY

The discussion centers on demonstrating the equivalence of calculating the squared amplitude for the quark-antiquark process in lepton-antilepton interactions, considering both non-zero and zero masses of fermions. The user encounters issues with divergent pieces lacking opposite signs during calculations. Additionally, the conversation touches on the implications of squaring negative frequency amplitudes and the validity of negative probabilities in the context of the Schrödinger equation.

PREREQUISITES
  • Understanding of quantum field theory concepts, particularly amplitude calculations.
  • Familiarity with the Standard Model of particle physics.
  • Knowledge of the Schrödinger equation and probability amplitudes.
  • Experience with handling divergences in quantum calculations.
NEXT STEPS
  • Research the implications of vacuum expectation values (vev) in quantum field theory.
  • Study the treatment of divergences in quantum field theory, focusing on regularization techniques.
  • Explore the concept of probability amplitudes and their interpretations in quantum mechanics.
  • Examine the role of mass in particle interactions and its effects on amplitude calculations.
USEFUL FOR

Particle physicists, quantum field theorists, and students studying advanced quantum mechanics who are looking to deepen their understanding of amplitude calculations and the implications of mass in particle interactions.

Andreaca
Messages
1
Reaction score
0
I want to demonstrate that calculating the squared amplitude of the process quark antiquark in lepton antilepton where I consider the non-zero masses of the fermions, is equivalent to considering the zero masses but with infinite insertions of the vev. I am trying to do it, but the pieces I find that diverge do not have opposite signs. Could you help me?
 
Physics news on Phys.org
Might help if you show what you have so far. Also if you square the negative frequency amplitude what result do you get (positive or negative) ?
Then ask yourself the question on a probability amplitude such as provided by the Schrödinger equations
" is a negative probability valid ? "
 
Last edited:

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
7K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 26 ·
Replies
26
Views
5K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K