The Snyder model and quantum field theory
S. Mignemi
TL;DR
This paper reviews the Snyder model's features and explores quantum field theory on this noncommutative background, assessing its potential to produce a finite, well-behaved quantum theory.
Contribution
It provides a comprehensive review of the Snyder model and extends the discussion to quantum field theory formulations on this noncommutative spacetime.
Findings
Analysis of the Snyder model's main features
Discussion on noncommutative QFT formalism applied to Snyder spacetime
Assessment of the model's potential for finiteness in quantum field theory
Abstract
We review the main features of the relativistic Snyder model and its generalizations. We discuss the quantum field theory on this background using the standard formalism of noncommutaive QFT and discuss the possibility of obtaining a finite theory.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Applications · Algebraic structures and combinatorial models