Why in two dimension space many QTFtheory become renormalizable?

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SUMMARY

In two-dimensional space, many Quantum Field Theory (QFT) models exhibit renormalizability due to the simplification of loop integrals, which are represented as \(\int d^2 p\). This dimensionality reduces the complexity of divergences, allowing for consistent renormalization procedures. Additionally, there is a notable relationship between these QFT theories and the world-sheet formulation in string theory, as both frameworks utilize similar mathematical structures to describe physical phenomena.

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  • Understanding of Quantum Field Theory (QFT)
  • Familiarity with renormalization techniques
  • Basic knowledge of string theory concepts
  • Proficiency in mathematical integration in two dimensions
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  • Research the principles of renormalization in Quantum Field Theory
  • Explore the mathematical framework of two-dimensional QFT models
  • Study the relationship between QFT and string theory, focusing on world-sheet dynamics
  • Investigate loop integrals and their implications in quantum physics
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The discussion is beneficial for theoretical physicists, graduate students in physics, and researchers interested in Quantum Field Theory and string theory applications.

ndung200790
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Please teach me this:
Why in two dimension space many QTF theories become renormalizable.By the way,are there any relation between this and the world-sheet in string theory?
Thank you very much in advance
 
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Because loops now go as \int d^2 p while propagators still go as p^2
 

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