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Universal Landau pole
A A Andrianov1, D Espriu, M A Kurkov
1Department of Theoretical Physics, Saint-Petersburg State University, St. Petersburg 198504, Russia. andrianov@icc.ub.edu
Physical Review Letters
|July 19, 2013
Summary
We propose unifying fundamental interactions at the Planck scale via a universal Landau pole, where gauge couplings diverge. This model avoids standard model vacuum instability by adding specific fermions.
Area of Science:
- Theoretical Physics
- Quantum Gravity
- Particle Physics
Background:
- Current quantum gravity theories suggest geometry breaks down at the Planck scale.
- This challenges traditional grand unification approaches relying on asymptotic freedom.
Purpose of the Study:
- To propose an alternative unification framework for all fundamental interactions at the Planck scale.
- To investigate the behavior of gauge, Higgs, and Yukawa couplings in this new framework.
- To address the vacuum stability issue in the standard model.
Main Methods:
- Theoretical modeling of fundamental interactions at the Planck scale.
- Introducing new fermions with specific vector gauge couplings and hypercharges.
- Analyzing the resulting behavior of coupling constants.
Main Results:
- A universal Landau pole is proposed for unification, where all gauge couplings diverge.
- The Higgs quartic coupling diverges, while Yukawa couplings vanish at the Planck scale.
- The addition of new fermions prevents Higgs quartic coupling from becoming negative, ensuring vacuum stability.
Conclusions:
- The proposed Landau pole unification offers a new perspective beyond traditional grand unification.
- The model successfully resolves the standard model vacuum stability problem.
- This framework provides a potential path for understanding physics at the Planck scale.
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