On Continuous Moyal Product Structure in String Field Theory
D.M. Belov, A.K. Konechny
TL;DR
This paper explores the continuous Moyal product structure in string field theory, focusing on diagonalizing Witten's star product for ghost systems and identifying a combined ghosts+matter Moyal structure.
Contribution
It introduces a bosonized formulation and spectral analysis to diagonalize the star product and reveals a continuous Moyal product structure for combined ghost and matter systems.
Findings
Diagonalization of Witten's star product for ghost systems.
Identification of a continuous Moyal product structure in string field theory.
Discussion of normalization of the multiplication kernel.
Abstract
We consider a diagonalization of Witten's star product for a ghost system of arbitrary background charge and Grassmann parity. To this end we use a bosonized formulation of such systems and a spectral analysis of Neumann matrices. We further identify a continuous Moyal product structure for a combined ghosts+matter system. The normalization of multiplication kernel is discussed.
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