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Perturbative symplectic field theory and Wigner function
Authors:Ronni GG Amorim  Ademir E Santana  José David M Vianna
Institution: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
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.
Keywords:03  65  Ca  03  65  Db  11  10  Nx
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