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- W2079300895 abstract "This work is dedicated to the study of the noncommutative Gross–Neveu model. As is known, in the canonical Weyl–Moyal approach the model is inconsistent, basically due to the separation of the amplitudes into planar and nonplanar parts. We prove that if instead a coherent basis representation is used, the model becomes renormalizable and free of the aforementioned difficulty. We also show that, although the coherent state procedure breaks Lorentz symmetry in odd dimensions, in the Gross–Neveu model, this breaking can be kept under control by assuming the noncommutativity parameters to be small enough. We also make some remarks on ordering prescriptions used in the literature." @default.
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- W2079300895 date "2007-03-14" @default.
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- W2079300895 title "The three-dimensional noncommutative Gross–Neveu model" @default.
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- W2079300895 doi "https://doi.org/10.1088/1751-8113/40/13/020" @default.
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