Vacuum configurations for renormalizable non-commutative scalar models
From MaRDI portal
Publication:982380
DOI10.1140/epjc/s10052-007-0465-6zbMath1189.81213arXiv0709.3950OpenAlexW1990647736MaRDI QIDQ982380
Axel de Goursac, Adrian Tanasa, Jean-Christophe Wallet
Publication date: 6 July 2010
Published in: The European Physical Journal C. Particles and Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.3950
Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Noncommutative geometry methods in quantum field theory (81T75)
Related Items
Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom, Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences, A translation-invariant renormalizable non-commutative scalar model, Closed star product on noncommutative \(\mathbb R^{3}\) and scalar field dynamics, Noncommutative gauge theories on \( {{\mathbb{R}}}_{\lambda}^3 \): perturbatively finite models, Exact partition functions for gauge theories on \(\mathbb{R}_\lambda^3\), The Jacobian conjecture, a reduction of the degree to the quadratic case, Renormalization of the commutative scalar theory with harmonic term to all orders, Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus, Gauge theories on quantum spaces, Involutive representations of coordinate algebras and quantum spaces, Combinatorial Dyson-Schwinger equations in noncommutative field theory, \(\kappa\)-Poincaré invariant orientable field theories at one-loop, Noncommutative field theory on rank one symmetric spaces, Color Grosse-Wulkenhaar models: one-loop \(\beta \) -functions, On the vacuum states for non-commutative gauge theory, Noncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models, One-loop \(\beta \) functions of a translation-invariant renormalizable noncommutative scalar model, Gauge theories on \(\kappa\)-Minkowski spaces: twist and modular operators, Harmonic oscillator in twisted Moyal plane: Eigenvalue problem and relevant properties
Cites Work
- Exact solution of quantum field theory on noncommutative phase spaces
- Two- and three-loop beta function of non-commutative \(\Phi_4^4\) theory
- Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders
- Renormalisation of noncommutative \(\phi^4\)-theory by multi-scale analysis
- Renormalization of non-commutative \(\Phi^4_4\) field theory in \(x\) space
- One-loop beta functions for the orientable non-commutative Gross-Neveu model
- Noncommutative induced gauge theory
- The \(\beta \)-function in duality-covariant non-commutative \(f^{4}\phi^4\) -theory
- Non-commutative complete Mellin representation for Feynman amplitudes
- String theory and noncommutative geometry
- Validity of Goldstone theorem at two loops in noncommutative U\((N)\) linear sigma model
- UV/IR mixing and the Goldstone theorem in noncommutative field theory
- Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
- Renormalization of the orientable non-commutative Gross-Neveu model
- Parametric representation of noncommutative field theory
- Power-counting theorem for non-local matrix models and renormalisation
- Renormalisation of \(\Phi^4\)-theory on non-commutative \(\mathbb R^4\) to all orders
- Field theories on deformed spaces
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
- Noncommutative field theory
- Quantum field theory on noncommutative spaces
- Noncommutative field theory and spontaneous symmetry breaking
- The Higgs mechanism in non-commutative gauge theories
- Phase structure of non-commutative scalar field theories
- Noncommutative linear sigma models
- Duality in scalar field theory on noncommutative phase spaces
