Why are the Tadpole Equations Called so?

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SUMMARY

The tadpole equations refer to a set of equations in quantum field theory that determine constant field configurations where the first derivative of the nth order effective potential equals zero. These equations are closely related to tadpole diagrams in perturbative quantum field theory, which represent one-loop corrections to propagators. The discussion highlights the importance of the Schwinger-Dyson approach in resumming tadpole contributions effectively, as detailed in the referenced paper (arXiv:hep-th/9603145).

PREREQUISITES
  • Quantum field theory fundamentals
  • Understanding of effective potential in field theories
  • Familiarity with perturbative methods and Feynman diagrams
  • Knowledge of the Schwinger-Dyson equations
NEXT STEPS
  • Study the Schwinger-Dyson equations in detail
  • Explore the concept of effective potential in quantum field theory
  • Research tadpole diagrams and their role in loop corrections
  • Read the paper "Resummation of Tadpoles" (arXiv:hep-th/9603145) for practical applications
USEFUL FOR

The discussion is beneficial for theoretical physicists, graduate students in quantum field theory, and researchers focusing on effective field theories and perturbative methods.

Kfir Dolev
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I know that the nth order tadpole equations give you the value of constant field configurations for which the first derivative of the nth order effective potential is 0, but what does this have to do with the tadpole graphs?
 
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What are "tadpole equations". I've never heard this expression. Perhaps the following paper helps, where the tadpoles are resummed effectively in the Schwinger-Dyson approach:

http://arxiv.org/abs/hep-th/9603145
 

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