2017/12/15 by S. Mignemi, Andjelo Samsarov, A. Samsarov · 9 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Commutative property #Cutoff #Field (mathematics) #Field theory (psychology) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Pure mathematics #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar field theory #Theoretical physics #Vacuum energy #hep-th
paper · pdf · doi:10.1016/j.physletb.2018.02.016
published in Physics Letters B 779, 244-248 (Elsevier BV) · 10 pages
arxiv created 2017/12/15 · openalex publication_date 2018/02/12 · arxiv updated 2018/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The vacuum energy is computed for a scalar field in a noncommutative background in several models of noncommutative geometry. One may expect that the noncommutativity introduces a natural cutoff on the ultraviolet divergences of field theory. Our calculations show however that this depends on the particular model considered: in some cases the divergences are suppressed and the vacuum energy is only logarithmically divergent, in other cases they are stronger than in the commutative theory.