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Photon propagation function: a comparison of asymptotic functions.
1University of California, Los Angeles, Calif. 90024.
Summary
This study quantifies the small differences between photon propagation functions, like the spectral weight and Gell-Mann-Low functions. Removing a comparison restriction reveals a transformation linking these functions, offering a new physical interpretation.
Area of Science:
- High-energy physics
- Quantum field theory
Background:
- Previous research suggested logarithmic asymptotic identities between photon propagation functions.
- Key functions discussed include the spectral weight function and the Gell-Mann-Low function.
Purpose of the Study:
- To explicitly express deviations between related asymptotic functions.
- To establish a physical link between the spectral weight function and the Gell-Mann-Low function.
Main Methods:
- Derivation of explicit expressions for function deviations.
- Analysis of function comparisons under a generalized variable transformation.
Main Results:
- Quantitative expressions for the differences between function pairs are provided.
- The differences are shown to be quantitatively small, with shared qualitative characteristics.
- A variable transformation is proven to connect the spectral weight function to the Gell-Mann-Low function.
Conclusions:
- The study confirms the close relationship between various asymptotic functions in photon propagation.
- A novel physical interpretation for the Gell-Mann-Low approach is established through a derived transformation.