Is Phi^3 Theory in Five Dimensions Supposed to Be Finite?

In summary, the conversation is discussing the regularization of phi^3 theory in six dimensions, specifically focusing on equation 14.30 which shows a 1-loop contribution to the propagator that diverges due to a pole in the gamma function. When d=5 or any odd number, the equation remains finite, which seems incorrect. The question is what is causing this discrepancy and what is the role of equation 14.3 in resolving it. A thread has been referenced for further information.
  • #1
electroweak
44
1
OK, I think I am missing something very basic...

When regularizing phi^3 theory in six dimensions, Srednicki comes to eq 14.30, which shows that the 1-loop contribution to the propagator diverges (the gamma function has a pole). This is good.

OK. Now let d=5 (or epsilon=1). Actually, go ahead and let d=1001 or any odd number. Then 14.30 is finite, which definitely seems wrong. "Superficially," the diagram should diverge...

What am I screwing up?
 
Physics news on Phys.org
  • #2
Your question would be easier to answer if you actually told us what's in equation 14.3.
 
  • #4
@dauto, how is 14.3 going to help resolve equation 14.30?
 

Related to Is Phi^3 Theory in Five Dimensions Supposed to Be Finite?

1. What is Phi^3 theory in 5 dimensions?

Phi^3 theory in 5 dimensions is a theoretical mathematical framework used to describe the behavior of a scalar field in five-dimensional spacetime. It is an extension of the more commonly known Phi^4 theory, which describes a scalar field in four-dimensional spacetime.

2. How does Phi^3 theory differ from Phi^4 theory?

Phi^3 theory differs from Phi^4 theory in its use of a cubic interaction term instead of a quartic interaction term. This results in different predictions for the behavior of the scalar field in five dimensions compared to four dimensions.

3. What is the significance of 5 dimensions in Phi^3 theory?

The use of 5 dimensions in Phi^3 theory allows for a more accurate description of certain physical phenomena, such as the behavior of particles at high energies. It also has implications for supersymmetry and string theory.

4. How is Phi^3 theory tested and validated?

Phi^3 theory is primarily tested and validated through mathematical calculations and simulations. These can be compared to experimental data and observations to determine the accuracy of the theory.

5. What are the potential applications of Phi^3 theory in 5 dimensions?

Phi^3 theory in 5 dimensions has the potential to contribute to our understanding of fundamental physics, such as particle interactions and the nature of spacetime. It may also have practical applications in fields such as quantum computing and materials science.

Similar threads

A Renormalizability conditions for a real scalar field in d dimensions
    • Quantum Physics
Replies
2
Views
989
A Perturbative Renormalization in Phi 4 Theory
    • Quantum Physics
Replies
1
Views
1K
I Feynman rules on a ##\phi^3, \phi^4## theory
    • Quantum Physics
Replies
1
Views
1K
A Does Dim Reg really avoid a photon mass?
    • Quantum Physics
Replies
10
Views
1K
Help to 2-point correlation function in $ \phi^{4} $-theory
    • Quantum Physics
Replies
6
Views
4K
Renormalization in Two Dimensions
    • Advanced Physics Homework Help
Replies
6
Views
2K
Feynman Rules on ##\phi^3, \phi^4## theory
    • Advanced Physics Homework Help
2
Replies
59
Views
7K
Superrenormalizable phi cubed theory
    • Quantum Physics
Replies
1
Views
3K
The 1-loop anomalous dimension of massless quark field
    • Advanced Physics Homework Help
Replies
1
Views
716
A Computation of anomalous dimension in MS scheme
    • High Energy, Nuclear, Particle Physics
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top