Gravitational anomalies in gauge theory

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SUMMARY

Gravitational anomalies in gauge theory refer to the breakdown of gauge symmetry due to quantum effects in effective field theories of quantum gravity, particularly in the context of triangle diagrams. These anomalies pose a threat to the invariance under general coordinate transformations, similar to gauge anomalies observed in Yang-Mills theories. The discussion clarifies that gravitational anomalies are distinct from gauge anomalies, emphasizing their specific implications in quantum gravity frameworks.

PREREQUISITES
  • Understanding of effective field theories
  • Familiarity with quantum gravity concepts
  • Knowledge of gauge symmetry and transformations
  • Basic principles of triangle diagrams in quantum field theory
NEXT STEPS
  • Research the role of triangle diagrams in quantum gravity
  • Study the differences between gravitational anomalies and gauge anomalies
  • Explore effective field theories in the context of quantum gravity
  • Investigate the implications of gauge symmetry breakdown in theoretical physics
USEFUL FOR

The discussion is beneficial for theoretical physicists, researchers in quantum gravity, and students studying gauge theories and their anomalies.

shiraz
Dear All
Can anyone explain for me what is meant by gravitational anomalies in gauge theory?
What is the difference between it and gauge anomalies?
Thank you
 
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My first guess would be that gravitational anomalies arise in effective field theories of quantum gravity (quantization of GR) in triangle diagrams, which analogously to "normal" gauge anomalies in Yang-Mills theories threaten to spoil your gauge symmetry: the invariance under general coordinate transformations.
 
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haushofer said:
My first guess would be that gravitational anomalies arise in effective field theories of quantum gravity (quantization of GR) in triangle diagrams, which analogously to "normal" gauge anomalies in Yang-Mills theories threaten to spoil your gauge symmetry: the invariance under general coordinate transformations.
Thank you haushofer.
 

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