Anyone has done the 1-loop cancellation for the Wess-Zumino model?

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In summary, the original lagrangian of wess-zumino in component is in the euclidean, but the cancellation calculation is not present in the lecture version.
  • #1
diegoRED
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I am calculating the one loop vacuum energy in the Wess-Zumino model, and I don't get a cancellation. For sure I've messed up with the symmetry factor for the boson diagram, because in the fermion sector i have the cancellation (that is almost trivial). I an old post 2 guys were discussing of the 2-loop check, but would be nice for me to see the explicit cancellation for the original lagrangian of wess-zumino at 1-loop.
I say in advance that I know that in superfields formalism the problem of susy UV cancellations is almost straightforward and that it's possible to go easily to higher loop calculations for simple models like the Wess-Zumino, but I would like to get rid of this problem, because it makes me think that I can not calculate the symmetry factor!

The original lagrangian of wess-zumino in component is in the euclidean:

L= 1/2g^2(A^2+B^2)^2+Mg(A^3+AB^2)+A\bar{\psi}\psi+igB\bar{psi}\gamma_{5}\psi

thanks for your attention
 
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  • #2
I saw your earlier post in a thread between nrqed and me years ago. I didn't reply b/c I don't have my notes handy. But this is done in several major textbooks. For example, check out "Supersymmetric gauge field theory and string theory," by David Bailin, Alexander Love.
 
  • #3
thank you very much.
However I want to stress that in the book that you have cited, the authors carefully avoid to use the standard lagrangian for the wess-zumino model. They introduce 3 different chiral superfiled and this trick eliminates the problem of the combinatorial factors (that was clearly my problem)... If you have done the computation in detail for wess-zumino with the right combinatorial factors I would really like to see were I get wrong my calculations.
 
  • #4
I,m not sure to understand your problem. But probably the calculation of cancellation of contributions to Higgs mass helps you to check the symmetry factors. This calculation is done precisely for the Wess-Zumino model in :

"Cambridge Lectures on Supersymmetry and Extra Dimensions"
Lectures by: Fernando Quevedo pages 48 , 49

Now I have checked it in the homepage of Dr.Quevedo and seen that in that version this calculation is not present. So if you think it might be useful to look at it
I can send it to your mail.( I could not copy from pdf to paste on this page )
 
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1. What is the Wess-Zumino model?

The Wess-Zumino model is a supersymmetric quantum field theory that describes the interactions between elementary particles. It is named after its creators, Julius Wess and Bruno Zumino.

2. What is a 1-loop cancellation in the Wess-Zumino model?

A 1-loop cancellation refers to a mathematical property in the Wess-Zumino model where certain terms in the calculation of quantum corrections cancel each other out, leading to a more simplified and manageable result.

3. Why is the 1-loop cancellation important in the Wess-Zumino model?

The 1-loop cancellation is important because it allows for more precise predictions to be made about the behavior of particles in the Wess-Zumino model. It also helps to simplify the calculations needed to study this quantum field theory.

4. How is the 1-loop cancellation for the Wess-Zumino model done?

The 1-loop cancellation for the Wess-Zumino model involves complex mathematical calculations and techniques, including the use of Feynman diagrams and renormalization. It requires a deep understanding of quantum field theory and supersymmetry.

5. What are the implications of the 1-loop cancellation for the Wess-Zumino model?

The 1-loop cancellation has important implications for the study of the Wess-Zumino model and its predictions for particle interactions. It allows for more precise calculations and helps to validate the theory as a whole.

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