Test functions space in noncommutative quantum field theory
نویسندگان
چکیده
منابع مشابه
Test Functions Space in Noncommutative Quantum Field Theory
Abstract: It is proven that the ⋆-product of field operators implies that the space of test functions in the Wightman approach to noncommutative quantum field theory is one of the Gel’fand-Shilov spaces S with β < 1/2. This class of test functions smears the noncommutative Wightman functions, which are in this case generalized distributions, sometimes called hyperfunctions. The existence and de...
متن کاملQuantum Field Theory On A Discrete Space And Noncommutative Geometry
We analyse in detail the quantization of a simple noncommutative model of spontaneous symmetry breaking in zero dimensions taking into account the noncommutative setting seriously. The connection to the counting argument of Feynman diagrams of the corresponding theory in four dimensions is worked out explicitly. Special emphasis is put on the motivation as well as the presentation of some well-...
متن کاملNoncommutative quantum mechanics from noncommutative quantum field theory.
We derive noncommutative multiparticle quantum mechanics from noncommutative quantum field theory in the nonrelativistic limit. Particles of opposite charges are found to have opposite noncommutativity. As a result, there is no noncommutative correction to the hydrogen atom spectrum at the tree level. We also comment on the obstacles to take noncommutative phenomenology seriously and propose a ...
متن کاملOpen String Field Theory on Noncommutative Space
We study Witten’s open string field theory in the presence of a constant B field. We construct the string field theory in the operator formalism and find that, compared to the ordinary theory with no B field, the vertices in the resulting theory has an additional factor. The factor makes the zero modes of strings noncommutative. This is in agreement with the results in the first-quantized formu...
متن کاملRemarks on twisted noncommutative quantum field theory
We review recent results on twisted noncommutative quantum field theory by embedding it into a general framework for the quantization of systems with a twisted symmetry. We discuss commutation relations in this setting and show that the twisted structure is so rigid that it is hard to derive any predictions, unless one gives up general principles of quantum theory. It is also shown that the twi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2008
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2008/09/125