2010/08/22 by Marcelo Leineker, MARCELO LEINEKER, Amilcar R. de Queiroz +4 · 10 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Commutative property #Formalism (music) #Group (periodic table) #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Poincaré conjecture #Poincaré group #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum field theory #Quantum mechanics #S-matrix #Scalar field #Theoretical physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/s0217751x11053468
published in International Journal of Modern Physics A 26(15), 2569-2589 (World Scientific) · v1: 25 pages, no figure v2: references added; typos corrected; typo in title corrected
arxiv created 2010/08/22 · openalex publication_date 2011/06/13 · arxiv updated 2011/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Poincaré invariant quantum field theories can be formulated on noncommutative planes if the statistics of fields is twisted. This is equivalent to state that the coproduct on the Poincaré group is suitably twisted. In the present work we present a twisted Poincaré invariant quantum field theory at finite temperature. For that we use the formalism of thermofield dynamics (TFD). This TFD formalism is extend to incorporate interacting fields. This is a nontrivial step, since the separation in positive and negative frequency terms is no longer valid in TFD. In particular, we prove the validity of Wick's theorem for twisted scalar quantum field at finite temperature.