We review the formulation and properties of scalar field theories defined on fuzzy spaces. We go over the two most important features that caused by the short distance structure – the UV/IR-mixing and the non-uniform order phase. We then review the matrix model approach to the analysis of fuzzy field theories, describe the relevant models and discuss the most recent results of this approach
We review some recent progress in quantum field theory in non-commutative space, focusing onto the f...
Quantization of spacetime by means of finite dimensional matrices is the basic idea of fuzzy spaces....
We describe a new way of rewriting the partition function of scalar field theory on fuzzy complex pr...
This thesis is devoted to the study of Quantum Field Theories (QFT) on fuzzy spaces. Fuzzy spaces ar...
We develop an analytical approach to scalar field theory on the fuzzy sphere based on considering a ...
The critical properties of the real φ^4 scalar field theory are studied numerically on the fuzzy sph...
Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximatio...
These lecture notes provide a systematic introduction to matrix models of quantum field theories wit...
The φ^4 real scalar field theory on a fuzzy sphere is studied numerically. We refine the phase diagr...
Abstract The model of a scalar field with quartic self-interaction on the fuzzy sphere has three kno...
We demonstrate that the UV/IR mixing problems found recently for a scalar ' 4 theory on the fuzzy s...
After reviewing the construction of the fuzzy sphere and the formulation of the scalar theory in thi...
We present the analytical approach to scalar field theory on the fuzzy sphere which has been develop...
We analyze the expectation value of observables in a scalar theory on the fuzzy two sphere, represen...
Scalar fields are studied on fuzzy S^4 and a solution is found for the elimination of the unwanted d...
We review some recent progress in quantum field theory in non-commutative space, focusing onto the f...
Quantization of spacetime by means of finite dimensional matrices is the basic idea of fuzzy spaces....
We describe a new way of rewriting the partition function of scalar field theory on fuzzy complex pr...
This thesis is devoted to the study of Quantum Field Theories (QFT) on fuzzy spaces. Fuzzy spaces ar...
We develop an analytical approach to scalar field theory on the fuzzy sphere based on considering a ...
The critical properties of the real φ^4 scalar field theory are studied numerically on the fuzzy sph...
Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximatio...
These lecture notes provide a systematic introduction to matrix models of quantum field theories wit...
The φ^4 real scalar field theory on a fuzzy sphere is studied numerically. We refine the phase diagr...
Abstract The model of a scalar field with quartic self-interaction on the fuzzy sphere has three kno...
We demonstrate that the UV/IR mixing problems found recently for a scalar ' 4 theory on the fuzzy s...
After reviewing the construction of the fuzzy sphere and the formulation of the scalar theory in thi...
We present the analytical approach to scalar field theory on the fuzzy sphere which has been develop...
We analyze the expectation value of observables in a scalar theory on the fuzzy two sphere, represen...
Scalar fields are studied on fuzzy S^4 and a solution is found for the elimination of the unwanted d...
We review some recent progress in quantum field theory in non-commutative space, focusing onto the f...
Quantization of spacetime by means of finite dimensional matrices is the basic idea of fuzzy spaces....
We describe a new way of rewriting the partition function of scalar field theory on fuzzy complex pr...
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