Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes

Abstract

In this paper, we establish the analysis of noncommutative Yukawa theory, encompassing neutral and charged scalar fields. We approach the analysis by considering carefully the derivation of the respective effective actions. Hence, based on the obtained results, we compute the one-loop contributions to the neutral and charged scalar field self-energy, as well as to the Chern-Simons polarization tensor. In order to properly define the behaviour of the quantum fields, the known UV/IR mixing due to radiative corrections is analysed in the one-loop physical dispersion relation of the scalar and gauge fields.

arXiv comment28 pages

References in corpus (46)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Topological nodal semimetals
• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Perturbative Dynamics
• Modern tests of Lorentz invariance
• Gauge fields in graphene
• Minimal Length Scale Scenarios for Quantum Gravity
• Quantum Spacetime Phenomenology
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Berry phase correction to electron density of states in solids
• The IR/UV Connection in the Non-Commutative Gauge Theories
• Space/Time Non-Commutativity and Causality
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• Quantum Measurement, Gravitation, and Locality
• Renormalisation of ϕ^4-theory on noncommutative R^2 in the matrix base
• Review of the Phenomenology of Noncommutative Geometry
• Noncommutative Standard Model: Model Building
• Discrete Symmetries (C,P,T) in Noncommutative Field Theories
• Challenge to Macroscopic Probes of Quantum Spacetime Based on Noncommutative Geometry
• On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review
• Green's function approach to Chern-Simons extended electrodynamics: an effective theory describing topological insulators
• Absence of Higher Order Corrections to Noncommutative Chern-Simons Coupling
• Noncommutative field theories on $R_{\lambda }^3$: Towards UV/IR mixing freedom
• A Note on Noncommutative Chern-Simons Theories
• Noncommutative Graphene
• One-loop Shift in Noncommutative Chern-Simons Coupling
• Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory
• The noncommutative U(1) Higgs-Kibble model in the enveloping-algebra formalism and its renormalizability
• The Higgs Mechanism in Non-commutative Gauge Theories
• Perturbative Analysis of Nonabelian Aharonov-Bohm Scattering
• Bosonization in the Noncommutative Plane
• Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism
• Noncommutative gauge theories on ${\mathbb{R}}_{\lambda }^3$: Perturbatively finite models
• Divergences in Non-Commutative Gauge Theories with the Slavnov Term
• Consistent Interactions of the 2+1 Dimensional Noncommutative Chern-Simons Field
• On the finiteness of the noncommutative supersymmetric Maxwell-Chern-Simons theory
• Three dimensional noncommutative bosonization
• Renormalization on noncommutative torus
• Noncommutative Maxwell-Chern-Simons theory (I): One-loop dispersion relation analysis
• Two-Loop Quantum Corrections of Scalar QED with Non-Minimal Chern-Simons Coupling
• Higher derivative Chern-Simons extension in the noncommutative QED${}_3$
• One loop radiative corrections to the translation-invariant noncommutative Yukawa Theory
• Induced magnetic moment in noncommutative Chern-Simons scalar QED
• Källén-Lehmann representation of noncommutative quantum electrodynamics

Cited by in corpus (1)

• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem