On NCQFT and dimensionless insertions

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.

10 pages

References in corpus (5)

• A translation-invariant renormalizable non-commutative scalar model
• Translation-invariant models for non-commutative gauge fields
• One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model
• Improved Localization of a Renormalizable Non-Commutative Translation Invariant U(1) Gauge Model
• One-loop $\beta$ functions of a translation-invariant renormalizable noncommutative scalar model