Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 388, Issue 18, Pages 3771-3778Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2009.06.013
Keywords
Moyal product; Phase space; Quantum fields
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Funding
- CNPq of Brazil
- NSERC of Canada
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We study relativistic quantum field theories in phase space, based on representations of the Poincare 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. (C) 2009 Published by Elsevier B.V.
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