Integrate by parts the d'alembertian of a 4-variable function

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SUMMARY

The discussion focuses on integrating by parts the d'Alembertian operator of a four-variable function over a volume defined by dx, dy, dz, and dt. The user seeks clarification on this process as part of their study of Quantum Field Theory (QFT) related to scalar fields. The conversation emphasizes the importance of providing the specific integral for better assistance and understanding of the integration technique.

PREREQUISITES
  • Understanding of the d'Alembertian operator in the context of partial differential equations.
  • Familiarity with integration by parts in multiple dimensions.
  • Basic knowledge of Quantum Field Theory (QFT) and scalar fields.
  • Proficiency in handling integrals over multi-dimensional volumes.
NEXT STEPS
  • Study the properties and applications of the d'Alembertian operator in QFT.
  • Learn the method of integration by parts in multiple dimensions.
  • Explore examples of integrating scalar fields in Quantum Field Theory.
  • Review the mathematical foundations of partial differential equations relevant to QFT.
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Students and researchers in theoretical physics, particularly those focusing on Quantum Field Theory and mathematical methods in physics.

radoo
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Can you please tell me how to integrate by parts the d'alembertian of a 4-variable function over a volume dx * dy * dz * dt. I have stumbled upon this seemnigly simple exercise on my way to understanding QFT of scalar fields.
 
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Why don't you post your integral, so we can see what it's all about ?
 

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