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Fried-Yennie Gauge in Pseudo-QED
Ana Mizher1,2,3, Alfredo Raya3,4, Khépani Raya5
1Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271-Bloco II, São Paulo 01140-070, Brazil.
Entropy (Basel, Switzerland)
|February 23, 2024
Summary
The Fried-Yennie gauge resolves infrared divergences in pseudo-quantum electrodynamics (PQED). This study extends its application to arbitrary dimensions for self-energy calculations in PQED.
Area of Science:
- Theoretical Physics
- Quantum Field Theory
Background:
- The Fried-Yennie gauge simplifies renormalization in Quantum Electrodynamics (QED) by preventing infrared divergences.
- Pseudo-quantum electrodynamics (PQED) involves lower-dimensional fermions interacting with higher-dimensional gauge fields.
Purpose of the Study:
- To apply the Fried-Yennie gauge to PQED for the first time.
- To generalize self-energy calculations in PQED to arbitrary dimensions.
Main Methods:
- Utilizing the Fried-Yennie gauge to manage the photon propagator's infrared behavior in PQED.
- Extending the gauge's application to calculations involving different dimensionalities for fermions and gauge fields.
Main Results:
- Demonstrated the successful application of the Fried-Yennie gauge in the PQED framework.
- Developed a generalized method for calculating self-energy in arbitrary dimensions within PQED.
Conclusions:
- The Fried-Yennie gauge offers a robust method for handling infrared divergences in PQED.
- This work provides a new framework for theoretical calculations in dimensional-dependent PQED models.
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