Propagators for Noncommutative Field Theories
arXiv:hep-th/0512071 · doi:10.1007/s00023-006-0296-2
Abstract
In this paper we provide exact expressions for propagators of noncommutative Bosonic or Fermionic field theories after adding terms of the Grosse-Wulkenhaar type in order to ensure Langmann-Szabo covariance. We emphasize the new Fermionic case and we give in particular all necessary bounds for the multiscale analysis and renormalization of the noncommutative Gross-Neveu model.
26 pages. Same results but improved version accroding to referee's suggestions
References in corpus (7)
- Noncommutative Field Theory
- Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Duality in Scalar Field Theory on Noncommutative Phase Spaces
- Renormalisation of ϕ^4-theory on noncommutative R^2 in the matrix base
- Power-counting theorem for non-local matrix models and renormalisation
- Renormalization of noncommutative phi 4-theory by multi-scale analysis
Cited by in corpus (20)
- Noncommutative Induced Gauge Theory
- Non-commutative Renormalization
- Parametric Representation of Noncommutative Field Theory
- 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory
- Parametric representation of "critical" noncommutative QFT models
- Noncommutative geometry, gauge theory and renormalization
- Combinatorial Hopf algebraic description of the multiscale renormalization in quantum field theory
- Duality covariant quantum field theory on noncommutative Minkowski space
- One-loop Beta Functions for the Orientable Non-commutative Gross-Neveu Model
- Vanishing beta function for Grosse-Wulkenhaar model in a magnetic field
- Symmetries of noncommutative scalar field theory
- On the Origin of the Harmonic Term in Noncommutative Quantum Field Theory
- On the Effective Action of Noncommutative Yang-Mills Theory
- Propagators and Matrix Basis on Noncommutative Minkowski Space
- Why Renormalizable NonCommutative Quantum Field Theories?
- Renormalization of the commutative scalar theory with harmonic term to all orders
- Spinors on a curved noncommutative space: coupling to torsion and the Gross-Neveu model
- The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples
- Asymptotes in SU(2) Recoupling Theory: Wigner Matrices, Symbols, and Character Localization
- Exorcizing the Landau Ghost in Non Commutative Quantum Field Theory