Perturbative symplectic field theory and Wigner function

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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Year of publication:	2009
Authors:	Amorim, Ronni G.G. ; Khanna, Faqir C. ; Santana, Ademir E. ; Vianna, José David M.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 388.2009, 18, p. 3771-3778
Publisher:	Elsevier
Subject:	Moyal product \| Phase space \| Quantum fields

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010872358