Propagators for Noncommutative Field Theories
R. Gurau, V. Rivasseau, F. Vignes-Tourneret
TL;DR
This paper derives exact propagator formulas for noncommutative bosonic and fermionic field theories with Grosse-Wulkenhaar modifications, aiding in their analysis and renormalization.
Contribution
It provides the first detailed propagator expressions for noncommutative fermionic theories and supplies bounds essential for multiscale analysis and renormalization.
Findings
Exact propagator formulas for noncommutative bosonic and fermionic theories.
Bounds for multiscale analysis of the noncommutative Gross-Neveu model.
Enhanced understanding of renormalization in noncommutative field theories.
Abstract
In this paper we provide exact expressions for propagators of noncommutative Bosonic or Fermionic field theories after adding terms of the Grosse-Wulkenhaar type in order to ensure Langmann-Szabo covariance. We emphasize the new Fermionic case and we give in particular all necessary bounds for the multiscale analysis and renormalization of the noncommutative Gross-Neveu model.
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