What is the analogue of 'space is curved' in Quantum Field theory ?

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SUMMARY

The discussion centers on the analogy between the curvature of space in General Relativity and its counterpart in Quantum Field Theory (QFT). In QFT, field strength tensors serve as the equivalent of curvature tensors, representing the curvature of abstract internal spaces. This establishes a direct relationship between geometric concepts in General Relativity and the mathematical framework of QFT, highlighting how QFT can describe aspects of curvature in a quantum context.

PREREQUISITES
  • Understanding of General Relativity concepts, specifically 'curvature of space'
  • Familiarity with Quantum Field Theory (QFT) principles
  • Knowledge of field strength tensors and curvature tensors
  • Basic grasp of abstract mathematical spaces in physics
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  • Explore the mathematical formulation of field strength tensors in Quantum Field Theory
  • Study the relationship between curvature tensors and physical phenomena in QFT
  • Investigate the implications of curvature in quantum mechanics
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Physicists, students of theoretical physics, and researchers interested in the intersection of General Relativity and Quantum Field Theory.

zetafunction
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what is the analogue of 'space is curved' in Quantum Field theory ??

if in General Relativity the main issue is that 'space is curved' what is the equivalence of it in Quantum mechanics ?? , for example how can QFT describe the curvature of space ??
 
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zetafunction said:
if in General Relativity the main issue is that 'space is curved' what is the equivalence of it in Quantum mechanics ?? , for example how can QFT describe the curvature of space ??

In QFT, field strength tensors are (proportional to) curvature tensors of abstract, internal spaces.
 

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