Propagators for Noncommutative Field Theories
نویسندگان
چکیده
منابع مشابه
Noncommutative Dipole Field Theories
Assigning an intrinsic constant dipole moment to any field, we present a new kind of associative star product, the dipole star product, which was first introduced in [hepth/0008030]. We develop the mathematics necessary to study the corresponding noncommutative dipole field theories. These theories are sensible non-local field theories with no IR/UV mixing. In addition we discuss that the Loren...
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Quantum field theories on noncommutative Minkowski space are studied in a model-independent setting by treating the noncommutativity as a deformation of quantum field theories on commut ative space. Starting from an arbitrary Wightman theory, we consider special vacuum representations of its Weyl-Wigner deformed counterpart. In such representations, the effect of the noncommutativity on the bas...
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We extend the argument of Gomis and Mehen for violation of unitarity in field theories with space-time noncommutativity to dipole field theories. In dipole field theories with a timelike dipole vector, we present 1-loop amplitudes that violate the optical theorem. A quantum mechanical system with nonlocal potential of finite extent in time also shows violation of unitarity.
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We propose a physical interpretation of the perturbative breakdown of unitarity in timelike noncommutative field theories in terms of production of tachyonic particles. These particles may be viewed as a remnant of a continuous spectrum of undecoupled closedstring modes. In this way, we give a unified view of the string-theoretical and the fieldtheoretical no-go arguments against time-like nonc...
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Supersymmetric field theories on noncommutative spaces are constructed. We present two different representations of noncommutative space, but we can obtain supersymmetry algebla and supersymmetric Yang-Mills action independent of its representation. As a result, we will see that the action has a close relationship with IIB matrix model. e-mail: [email protected]
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2006
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-006-0296-2