The Snyder-de Sitter scalar <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mo>⋆</mml:mo></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msubsup></mml:math> quantum field theory in D = 2
S. A. Franchino-Viñas, S. Mignemi
Abstract
We study the two-dimensional version of a quartic self-interacting quantum scalar field on a curved and noncommutative space (Snyder-de Sitter). We show that the model is renormalizable at the one-loop level and compute the beta functions of the related couplings. The renormalization group flow is then studied numerically, arriving at the conclusion that noncommutative-curved deformations can yield both relevant and irrelevant contributions to the one-loop effective action.
Topics & Concepts
Noncommutative geometryMathematical physicsScalar (mathematics)PhysicsRenormalization groupMathematicsGeometryNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories