Perturbative symplectic field theory and Wigner function |
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Authors: | Ronni G.G. Amorim,Ademir E. Santana,José David M. Vianna |
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Affiliation: | a Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, Brazil b Physics Department, Theoretical Physics Institute, University of Alberta, Edmonton, Alberta T6G 2J1, Canada c TRIUMF, 4004, Westbrook Mall, Vancouver, British Columbia V6T 2A3, Canada d Instituto de Física, Universidade Federal da Bahia, Campus de Ondina, 40210-340, Salvador, Bahia, Brazil |
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Abstract: | We study relativistic quantum field theories in phase space, based on representations of the Poincaré group, using the Moyal product. We develop a perturbative theory for quantizing fields, with functional methods in phase space. The two-point function is related to relativistic Wigner functions for bosons and fermions. As an example we analyze the complex scalar field with quartic self-interaction. |
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Keywords: | 03.65.Ca 03.65.Db 11.10.Nx |
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