Dynamical Noncommutativity and Noether Theorem in Twisted $${\phi^{\star 4}}$$ Theory期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Dynamical Noncommutativity and Noether Theorem in Twisted $${\phi^{\star 4}}$$ Theory

Authors:	Paolo Aschieri Leonardo Castellani Marija Dimitrijević

Institution:	(1) Centro “Enrico Fermi”, Compendio Viminale, 00184 Rome, Italy;(2) Dipartimento di Scienze e Tecnologie avanzate, INFN Gruppo collegato di Alessandria, Universitá del Piemonte Orientale, via Bellini 25/G, 15100 Alessandria, Italy;(3) Faculty of Physics, University of Belgrade, P. O. Box 368, 11001 Belgrade, Serbia

Abstract:	A ${\star}$ -product is defined via a set of commuting vector fields ${X_a = {e_a} ^{\mu} (x) \partial_\mu}$ , and used in a ${\phi^{\star 4}}$ theory coupled to the ${{e_a} ^{\mu} (x)}$ fields. The ${\star}$ -product is dynamical, and the vacuum solution ${\phi =0}$ , ${{e_a} ^{\mu}=\delta_a^\mu}$ reproduces the usual Moyal product. The action is invariant under rigid translations and Lorentz rotations, and the conserved energy–momentum and angular momentum tensors are explicitly derived.

Keywords:	Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 53D55 81R60 81T75 70S10
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