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An ultraviolet‐finite Hamiltonian approach on the noncommutative Minkowski space
Author(s) -
Bahns D.
Publication year - 2004
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200310130
Subject(s) - noncommutative geometry , minkowski space , hamiltonian (control theory) , mathematics , monomial , mathematical physics , covariant hamiltonian field theory , physics , theoretical physics , pure mathematics , hamiltonian system , mathematical optimization
This is an exposition of joint work with S. Doplicher, K. Fredenhagen, and G. Piacitelli on field theory on the noncommutative Minkowski space [1]. The limit of coinciding points is modified compared to ordinary field theory in a suitable way which allows for the definition of so‐called regularized field monomials as interaction terms. Employing these in the Hamiltonian formalism results in an ultraviolet finite S ‐matrix.
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