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

Journal Article · Fri Jan 15 04:00:00 EST 2021 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2020.168350· OSTI ID:23183268

Bosso, Pasquale; Das, Saurya; Todorinov, Vasil ^[1]

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1. Theoretical Physics Group and Quantum Alberta, Department of Physics and Astronomy, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4 (Canada)

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.

• OSTI ID: 23183268
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 424; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
DIRAC EQUATION
ELECTRONS
HIGH ENERGY PHYSICS
LAGRANGIAN FUNCTION
MUONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
RELATIVISTIC RANGE
SCATTERING AMPLITUDES
SPINOR FIELDS
SPINORS
TESTING
UNCERTAINTY PRINCIPLE