Quantum Space-Time and Noncommutative Gauge Field Theories
arXiv:0909.1669
Abstract
The three original publications in this thesis encompass various aspects in the still developing area of noncommutative quantum field theory, ranging from fundamental concepts to model building. One of the key features of noncommutative space-time is the apparent loss of Lorentz invariance that has been addressed in different ways in the literature. One recently developed approach is to eliminate the Lorentz violating effects by integrating over the parameter of noncommutativity. Fundamental properties of such theories are investigated in this thesis. Another issue addressed is model building, which is difficult in the noncommutative setting due to severe restrictions on the possible gauge symmetries imposed by the noncommutativity of the space-time. Possible ways to relieve these restrictions are investigated and applied and a noncommutative version of the Minimal Supersymmetric Standard Model is presented. While putting the results obtained in the three original publications into their proper context, the introductory part of this thesis aims to provide an overview of the present situation in the field.
PhD thesis, 55 pages; references added to the original version; layout modified and typos corrected
References in corpus (33)
- Deformation quantization of Poisson manifolds, I
- Quantum Field Theory on Noncommutative Spaces
- The quantum structure of spacetime at the Planck scale and quantum fields
- Noncommutative Perturbative Dynamics
- Noncommutative Field Theory and Lorentz Violation
- On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
- Space-Time Noncommutative Field Theories And Unitarity
- A Gravity Theory on Noncommutative Spaces
- On the unitarity problem in space/time noncommutative theories
- Deforming Einstein's Gravity
- Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R^4
- Noncommutative Standard Model: Model Building
- Spin and Statistics on the Groenewold-Moyal Plane: Pauli-Forbidden Levels and Transitions
- Emergent Gravity from Noncommutative Gauge Theory
- Noncommutative Field Theories and Gravity
- Twisted Gauge Theories
- A Note on Superfields and Noncommutative Geometry
- Time-ordered Perturbation Theory on Noncommutative Spacetime: Basic Rules
- An Invariant Action for Noncommutative Gravity in Four-Dimensions
- Time-ordered Perturbation Theory on Noncommutative Spacetime II: Unitarity
- UV-IR Mixing in Non-Commutative Plane
- Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
- Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory
- Signatures of Non-commutative QED at Photon Colliders
- Noncommutative spacetime symmetries: Twist versus covariance
- Lorentz-Invariant Non-Commutative QED
- Noncommutative Quantum Field Theory: A Confrontation of Symmetries
- Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory
- Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
- A Star Product for Differential Forms on Symplectic Manifolds
- Jost-Lehmann-Dyson Representation and Froissart-Martin Bound in Quantum Field Theory on Noncommutative Space-Time
- Analyticity of the Scattering Amplitude, Causality and High-Energy Bounds in Quantum Field Theory on Noncommutative Space-Time
- Nilpotent noncommutativity and renormalization