کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1856886 1529940 2008 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Deformation quantization of fermi fields
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Deformation quantization of fermi fields
چکیده انگلیسی

Deformation quantization for any Grassmann scalar free field is described via the Weyl–Wigner–Moyal formalism. The Stratonovich–Weyl quantizer, the Moyal ★-product and the Wigner functional are obtained by extending the formalism proposed recently in [I. Galaviz, H. García-Compeán, M. Przanowski, F.J. Turrubiates, Weyl–Wigner–Moyal Formalism for Fermi Classical Systems, arXiv:hep-th/0612245] to the fermionic systems of infinite number of degrees of freedom. In particular, this formalism is applied to quantize the Dirac free field. It is observed that the use of suitable oscillator variables facilitates considerably the procedure. The Stratonovich–Weyl quantizer, the Moyal ★-product, the Wigner functional, the normal ordering operator, and finally, the Dirac propagator have been found with the use of these variables.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 323, Issue 4, April 2008, Pages 827–844
نویسندگان
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