The Hierarchy Problem: A Problematic Relationship between High and Low Energy?

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In summary, hierarchies are problematic because they pose a challenge in unifying theories at high energy, such as the Grand Unified Theory (GUT). This problem is related to the fine-tuning problem, which also arises when a theory is spontaneously broken into multiple theories. The question arises as to whether the high energy refers to the energy of real particles in collision or the high momentum loop integrals in loop corrections. If the high energy is related to real particles, then why is there a connection between large and small in the hierarchy problem? If there is no connection, then why is the hierarchy problem considered problematic? It is suggested that the momenta of real and virtual particles are related and that the parameters at low and high energy are connected
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fxdung
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Why are hierarchies problematic? How are the hierarchy problem related with fine-tunning problem?

Saying that at high energy, some theories are united to one theory(example GUT).Which is high energy,the high energy of collision real particles or the high energy of high momentum loop integrals in loop corrections?
One same question when a theory is spontaneous broken to some theories.
If the high energy is the energy of collision real particles(not of virtue particle) then why the large relate with the small in hierarchy problem?
If the large not relate with the small,why hierarchy problem is problematic?
 
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Now I think the momenta of real and virtue particle are related and the parameters at low and high energy are related with each other by renormalization group equations,so the high energy is the both.Then the loop corrections cause hierarchy problematic thing.Perhap one solution is to point out some cancelations between the loop corrections if we do not want to change to other theory different from Standard Model such as SUSY.
 
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Related to The Hierarchy Problem: A Problematic Relationship between High and Low Energy?

1. What is the hierarchy problem?

The hierarchy problem refers to the discrepancy between the large energy scales at which gravity operates and the relatively smaller energy scales at which other fundamental forces of nature operate. This difference in energy scales creates a puzzle for scientists, as it is not fully understood why gravity is so much weaker than the other forces.

2. Why is the hierarchy problem important?

The hierarchy problem is important because it highlights a gap in our understanding of the fundamental forces of nature. It also has implications for theories such as the Standard Model of particle physics and the search for a theory of quantum gravity.

3. How do scientists attempt to solve the hierarchy problem?

Scientists have proposed various theories and models to try and explain the hierarchy problem. These include supersymmetry, extra dimensions, and theories involving the Higgs boson. However, so far none of these solutions have been experimentally proven.

4. What are the consequences if the hierarchy problem is not solved?

If the hierarchy problem is not solved, it could mean that our current understanding of the fundamental forces of nature is incomplete. It could also hinder our ability to fully understand and predict the behavior of particles at high energy scales.

5. How does the Large Hadron Collider (LHC) play a role in studying the hierarchy problem?

The LHC is a powerful particle accelerator that allows scientists to study particles at extremely high energy scales. By colliding particles at these high energies, scientists hope to gather data that can provide insights into the hierarchy problem and potentially lead to the discovery of new particles or interactions that could explain the discrepancy in energy scales.

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