Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
arXiv:hep-th/0609168
Abstract
We study d=2+1 non-commutative U(1) YMCS, concentrating on the one-loop corrections to the propagator and to the dispersion relations. Unlike its commutative counterpart, this model presents divergences and hence an IR/UV mechanism, which we regularize by adding a Majorana gaugino of mass m_f, that provides (softly broken) supersymmetry. The perturbative vacuum becomes stable for a wide range of coupling and mass values, and tachyonic modes are generated only in two regions of the parameters space. One such region corresponds to removing the supersymmetric regulator (m_f >> m_g), restoring the well-known IR/UV mixing phenomenon. The other one (for m_f ~ m_g/2 and large θ) is novel and peculiar of this model. The two tachyonic regions turn out to be very different in nature. We conclude with some remarks on the theory's off-shell unitarity.
42 pages, 11 figures, uses Axodraw. Bibliography revised
References in corpus (48)
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Perturbative Dynamics
- Space-Time Noncommutative Field Theories And Unitarity
- The IR/UV Connection in the Non-Commutative Gauge Theories
- On the unitarity problem in space/time noncommutative theories
- The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
- Lattice Gauge Fields and Discrete Noncommutative Yang-Mills Theory
- Duality in Scalar Field Theory on Noncommutative Phase Spaces
- Finite N Matrix Models of Noncommutative Gauge Theory
- General Properties of Noncommutative Field Theories
- Solitons in Noncommutative Gauge Theory
- Nonperturbative Dynamics of Noncommutative Gauge Theory
- Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
- Noncommutative Multi-Solitons in 2+1 Dimensions
- Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry
- The Pinch Technique to All Orders
- On Level Quantization for the Noncommutative Chern-Simons Theory
- UV/IR Mixing via Closed Strings and Tachyonic Instabilities
- The Meaning of Infrared Singularities in Noncommutative Gauge Theories
- Generalized Pinch Technique and the Background Field Method in General Gauges
- Time-ordered Perturbation Theory on Noncommutative Spacetime II: Unitarity
- A Gauge-Independent Approach to Resonant Transition Amplitudes
- Gauge-Invariant Resummation Formalism for Two-Point Correlation Functions
- Phase diagram and dispersion relation of the non-commutative λϕ^{4} model in d=3
- Chern-Simons Theories on Noncommutative Plane
- Exact Solution of Noncommutative Field Theory in Background Magnetic Fields
- Absence of Higher Order Corrections to Noncommutative Chern-Simons Coupling
- Instability of Non-Commutative SYM Theories at Finite Temperature
- Noncommutative Chiral Gauge Theories on the Lattice with Manifest Star-Gauge Invariance
- A Note on Noncommutative Chern-Simons Theories
- Nonuniform symmetry breaking in noncommutative theory
- On the unitarity of quantum gauge theories on non-commutative spaces
- General structure of the photon self-energy in non-commutative QED
- Numerical Results for U(1) Gauge Theory on 2d and 4d Non-Commutative Spaces
- Dispersion Relations in Noncommutative Theories
- Noncommutative Field Theory and the Dynamics of Quantum Hall Fluids
- Matrix Model Description of Laughlin Hall States
- Lattice Perturbation Theory in Noncommutative Geometry and Parity Anomaly in 3D Noncommutative QED
- On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mills theory
- Absence of higher order corrections to the non-Abelian Chern-Simons coefficient
- Consistent Interactions of the 2+1 Dimensional Noncommutative Chern-Simons Field
- Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope
- Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED
- Supersymmetric non-Abelian noncommutative Chern-Simons theory
- Numerical results on the Non-commutative λϕ^4 Model
- Cornwall-Jackiw-Tomboulis effective potential for canonical noncommutative field theories
- The continuum limit of the non-commutative lambda phi^4 model