Numerical results on the Non-commutative λϕ^4 Model
arXiv:hep-th/0309182 · doi:10.1016/S0920-5632(03)02736-1
Abstract
The UV/IR mixing in the λϕ^4 model on a non-commutative (NC) space leads to new predictions in perturbation theory, including Hartree-Fock type approximations. Among them there is a changed phase diagram and an unusual behavior of the correlation functions. In particular this mixing leads to a deformation of the dispersion relation. We present numerical results for these effects in d=3 with two NC coordinates.
3 pages, 6 figures, Talk presented at Lattice2003(theory)
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Cited by in corpus (7)
- Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
- Phase diagram and dispersion relation of the non-commutative λϕ^{4} model in d=3
- The index of the overlap Dirac operator on a discretized 2d non-commutative torus
- Probability distribution of the index in gauge theory on 2d non-commutative geometry
- Noncommutative Fluids
- Phase structure of fuzzy black holes
- Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons