SUMMARY
Gravity prohibits the construction of local gauge invariants, such as Tr-\frac14 F^{\mu\nu}_aF_{\mu\nu}^a, and instead permits only non-local gauge invariant quantities like Wilson Loops: Tr P e^{\oint_{\gamma} A_a dx^a}. This distinction arises from the fundamental principles of Quantum Field Theory (QFT) and General Relativity (GR). For further reading, refer to the papers available at http://arxiv.org/abs/gr-qc/9404053v5 and http://arxiv.org/abs/hep-th/0512200.
PREREQUISITES
- Understanding of Quantum Field Theory (QFT)
- Familiarity with General Relativity (GR)
- Knowledge of gauge invariance concepts
- Basic comprehension of Wilson Loops in theoretical physics
NEXT STEPS
- Study the implications of gauge invariance in Quantum Field Theory
- Explore the mathematical formulation of Wilson Loops
- Investigate the relationship between gravity and gauge theories
- Read the referenced papers for deeper insights into non-local observables
USEFUL FOR
The discussion is beneficial for theoretical physicists, researchers in Quantum Field Theory, and students exploring the intersection of gravity and gauge theories.