2018/11/15 by Andrea Addazi, Addazi, A., Antonino Marcianò +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1811.06425
openalex publication_date 2018/11/15 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
Motivated by the recent interest in underground experiments phenomenology, we review the main aspects of one specific non-commutative space-time model, based on the Groenewold-Moyal plane algebra, the θ-Poincaré space-time. In the θ-Poincaré scenario, the Lorentz co-algebra is deformed introducing a non-commutativity of space-time coordinates. In such a theory, a new quantum field theory in non-commutative space-time can be reformulated. Tackling on several conceptual misunderstanding and technical mistakes in the literature, we will focus on several issues such: i) the construction of fields theories in θ-Poincaré; ii) the unitarity of the S-matrix; iii) the violation of locality, iv) the violation of the spin statistic theorem and the Pauli principle; v) the observables for underground experiments.