Noncommutative Instantons on R^2_{NC} x R^2_C
arXiv:hep-th/0109121 · doi:10.1016/S0370-2693(01)01354-5
Abstract
We study U(1) and U(2) noncommutative instantons on R^2_{NC} x R^2_C based on the ADHM construction. It is shown that a mild singularity in the instanton solutions for both self-dual and anti-self-dual gauge fields always disappears in gauge invariant quantities and thus physically regular solutions can be constructed even though any projected states are not involved in the ADHM construction. Furthermore the instanton number is also an integer.
v2: 15 pages, 1 figure, Latex. Added comments for clarification. References added
References in corpus (3)
Cited by in corpus (26)
- Exact Seiberg-Witten Map, Induced Gravity and Topological Invariants in Noncommutative Field Theories
- Noncommutative 't Hooft Instantons
- Calculating the Prepotential by Localization on the Moduli Space of Instantons
- ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
- Zero Modes and the Atiyah-Singer Index in Noncommutative Instantons
- Noncommutative Instantons via Dressing and Splitting Approaches
- Noncommutative Electromagnetism As A Large N Gauge Theory
- Comments on Noncommutative ADHM Construction
- Towards A Background Independent Quantum Gravity
- Non-Commutative Instantons and the Information Metric
- Test of Emergent Gravity
- Instanton Number Calculus on Noncommutative R^4
- An Efficient Representation of Euclidean Gravity I
- Topology Change of Spacetime and Resolution of Spacetime Singularity in Emergent Gravity
- Some Noncommutative Multi-instantons from Vortices in Curved Space
- Instanton Number of Noncommutative U(n) gauge theory
- Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
- Propagators in Noncommutative Instantons
- General classical solutions in the noncommutative CP^(N-1) model
- A monopole solution from noncommutative multi-instantons
- Noncommutative Vortices and Instantons from Generalized Bose Operators
- Topological Charge of ADHM Instanton on R^2_{NC}*R^2
- Emergent Spacetime and Cosmic Inflation
- Hermitian-Einstein metrics from noncommutative instantons
- A Note on UV/IR Mixing and Non-Commutative Instanton Calculus
- Complexified moduli of non-commutative instantons