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Gravitational corrections to Yukawa and phi{4} interactions
Andreas Rodigast1, Theodor Schuster
1Institut für Physik, Humboldt Universität zu Berlin, Newtonstrasse 15, D-12489 Berlin, Germany. rodigast@physik.hu-berlin.de
Physical Review Letters
|April 7, 2010
Summary
Quantum gravity introduces corrections to particle interactions, affecting running coupling constants for massive particles and altering standard model scaling. Gravitational effects on particle masses were found to be negligible.
Area of Science:
- Theoretical physics
- Quantum gravity
- Particle physics
Background:
- The Standard Model describes fundamental particles and forces.
- Yukawa and phi{4} interactions are key components of the Standard Model.
- Understanding quantum gravitational effects is crucial for a complete theory.
Purpose of the Study:
- To investigate the lowest order quantum gravitational corrections to Yukawa and phi{4} interactions.
- To determine the impact of these corrections on running coupling constants and particle masses.
- To analyze the influence on the scaling behavior of the Standard Model.
Main Methods:
- Perturbative quantum field theory calculations.
- Lowest order Feynman diagrams including gravitational interactions.
- Analysis of renormalization group equations.
Main Results:
- Quantum gravity contributes to the running coupling constants of massive particles.
- These contributions modify the scaling behavior of the Standard Model.
- Gravitational contributions to the running of particle masses are found to vanish.
Conclusions:
- Quantum gravitational corrections are significant for understanding particle interactions, particularly for massive particles.
- The Standard Model's scaling behavior is altered by quantum gravity.
- Further research may explore higher-order corrections and their implications.
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