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DOE OSTI · 23183268

Quantum field theory with the generalized uncertainty principle II: Quantum Electrodynamics

Bosso, Pasquale·Das, Saurya·Todorinov, Vasil
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Abstract

Highlights: • Relativistic Generalized Uncertainty Principle gives Frame independent minimum length. • Quantum Gravity modified Dirac equation from Modified Klein–Gordon Equations. • There exists a Quantum Gravity modified Lagrangian for a spinor field theory. • Feynman vertices contain 2 fermions & up to 5 gauge bosons are allowed. • Minimum length modifies the amplitude of Electrodynamic electron–muon scattering. Continuing our earlier work on the application of the Relativistic Generalized Uncertainty Principle (RGUP) to quantum field theories, in this paper we study Quantum Electrodynamics (QED) with minimum length. We obtain expressions for the Lagrangian, Feynman rules and scattering amplitudes of the theory, and discuss their consequences for current and future high energy physics experiments. We hope this will provide an improved window for testing Quantum Gravity effects in the laboratory.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSBOSONSDIRAC EQUATIONELECTRONSHIGH ENERGY PHYSICSLAGRANGIAN FUNCTIONMUONSQUANTUM ELECTRODYNAMICSQUANTUM FIELD THEORYQUANTUM GRAVITYRELATIVISTIC RANGESCATTERING AMPLITUDESSPINOR FIELDSSPINORSTESTINGUNCERTAINTY PRINCIPLE

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Bosso, Pasquale, Das, Saurya, Todorinov, Vasil. 2021-01-15. Quantum field theory with the generalized uncertainty principle II: Quantum Electrodynamics. https://doi.org/10.1016/j.aop.2020.168350

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