On NCQFT and dimensionless insertions
Manfred Schweda, Michael Wohlgenannt

TL;DR
This paper defines the tree level action for noncommutative scalar and gauge field theories on four-dimensional deformed Euclidean space using power counting and normalization techniques.
Contribution
It provides a precise formulation of the tree level action for NCQFT on four-dimensional canonical deformations, clarifying foundational aspects.
Findings
Explicit tree level action definitions for NCQFT
Application of power counting and normalization conditions
Enhanced understanding of noncommutative field theory structure
Abstract
In these notes, we aim at a precise definition of the tree level action for the noncommutative scalar and gauge field theories on four-dimensional canonically deformed Euclidean space. As tools to achieve this goal we employ power counting and normalization conditions.
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