Perturbative symplectic field theory and Wigner function

Ronni G.G. Amorim, Faqir C. Khanna, Ademir E. Santana and José David M. Vianna

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 18, 3771-3778

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: Moyal product; Phase space; Quantum fields (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:18:p:3771-3778

DOI: 10.1016/j.physa.2009.06.013

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