Unruh Effect (1+1)D: Understanding Equation 5.68

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SUMMARY

The discussion focuses on deriving equation 5.68 from the Unruh Effect in the context of a (1+1)-dimensional massive scalar field. A specific challenge arises regarding an additional prefactor of \(\frac{1}{\sqrt{2\pi}}\) on the left-hand side of the equation, which is not immediately clear. Participants suggest that examining equation 5.42 may provide insights into this prefactor's origin. The conversation emphasizes the importance of understanding the relationships between these equations for accurate derivation.

PREREQUISITES
  • Familiarity with the Unruh Effect and its implications in quantum field theory.
  • Understanding of (1+1)-dimensional massive scalar fields.
  • Knowledge of mathematical derivations involving prefactors in equations.
  • Ability to analyze and interpret scientific papers related to quantum physics.
NEXT STEPS
  • Review the derivation of equation 5.42 in the context of the Unruh Effect.
  • Study the mathematical implications of prefactors in quantum field theory equations.
  • Explore the relationship between equations 5.64 and 5.68 to clarify the derivation process.
  • Investigate additional resources on the Unruh Effect for deeper theoretical understanding.
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Physicists, graduate students in quantum field theory, and researchers exploring the Unruh Effect and its mathematical foundations.

thatboi
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Hi all,
I am trying to work through the Unruh Effect for the (1+1)-dimensional massive scalar field case and came across the paper I attached. However, I am trying to derive equation 5.68, but am greatly struggling with the prefactor on the left hand side. When comparing the left hand side to (5.64), it is clear that there is an extra factor of \frac{1}{\sqrt{2\pi}} that seems to appear out of nowhere. Can someone provide assistance? Thank you.
 

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thatboi said:
came across the paper I attached.
Can you give a link to where you obtained it?
 

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