Three-Dimensional Massive Gauge Theories

1982/04/12 by S. Deser, R. Jackiw, S. Templeton · 46 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Physics #Massless particle #Coupling constant #Dimensionless quantity #Gauge theory #Gravitation #Quantization (signal processing) #Mathematical physics #Spin (aerodynamics) #Gauge (firearms) #Invariant (physics) #Quantum electrodynamics #Introduction to gauge theory #Cutoff #Quantum mechanics

paper · doi:10.1103/physrevlett.48.975

openalex publication_date 1982/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/19

Abstract

Three-dimensional Yang-Mills and gravity theories augmented by gauge-invariant mass terms are analyzed. These topologically nontrivial additions profoundly alter the particle content of the models and lead to quantization of a dimensionless mass-coupling-constant ratio. The vector field excitations become massive, with spin 1 (rather than massless with spin 0), and the mass provides an infrared cutoff. The gravitation acquires mass, mediates finite-range interactions, and has spin 2 (rather than being absent altogether); although its mass term is of third derivative order, there are no ghosts or acausalities.

Citations

• QCD and instantons at finite temperature
• A new proof of the positive energy theorem
• Renormalization of higher-derivative quantum gravity

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