A Model of Quantum Electrodynamics with Higher Derivatives
D.Ts. Stoyanov
TL;DR
This paper introduces a modified quantum electrodynamics model using higher derivatives and finite regularizing mass, effectively eliminating ultraviolet and infrared divergences in calculations.
Contribution
It proposes a new regularization method for QED with higher derivatives and finite mass, avoiding divergences without traditional renormalization.
Findings
No ultraviolet divergences in the model
No infrared divergences in the example calculations
Demonstrated effectiveness on the self-energy diagram
Abstract
A new version of application Pauli-Villars regularized Green functions in the quantum field theory using higher derivatives is proposed. In this version the regularizing mass is large but finite. Our approach is demonstrated and discussed on the example of QED. It is shown that in our case there are no ultraviolet divergences and - on the example of the selfenergy spinor Feynman diagram - no infrared ones.
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Taxonomy
TopicsQuantum Mechanics and Applications · Relativity and Gravitational Theory · Algebraic and Geometric Analysis