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Construction of 2dimensional GrosseWulkenhaar model
, 2011
"... In this paper we construct the noncommutative GrosseWulkenhaar model on 2dimensional Moyal plane with the method of loop vertex expansion. We treat renormalization with this new tool, adapt Nelson’s argument and prove Borel summability of the perturbation series. This is the first noncommutative ..."
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In this paper we construct the noncommutative GrosseWulkenhaar model on 2dimensional Moyal plane with the method of loop vertex expansion. We treat renormalization with this new tool, adapt Nelson’s argument and prove Borel summability of the perturbation series. This is the first noncommutative quantum field theory model to be built in a nonperturbative sense.
Introduction to the Renormalization Group with Applications to NonRelativistic Quantum Electron Gases
, 2013
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Proceedings of the Corfu Summer Institute 2011 School and Workshops on Elementary Particle Physics and Gravity
, 2011
"... In this talk we briefly report the recent work on the construction of the 2dimensional GrosseWulkenhaar model with the method of loop vertex expansion [1]. We treat renormalization with this new tool, adapt Nelson’s argument and prove Borel summability of the perturbation series. This is the first ..."
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In this talk we briefly report the recent work on the construction of the 2dimensional GrosseWulkenhaar model with the method of loop vertex expansion [1]. We treat renormalization with this new tool, adapt Nelson’s argument and prove Borel summability of the perturbation series. This is the first noncommutative quantum field theory model to be built in a nonperturbative sense.
are the vacuum expectation values of products of physical fields, and contain
, 2013
"... In this paper we construct the 2 dimensional Euclidean φ4 quantum field theory using the method of loop vertex expansion. We reproduce the results of standard constructive theory, for example the Borel summability of the Schwinger functions in the coupling constant. Our method should be also suit ..."
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In this paper we construct the 2 dimensional Euclidean φ4 quantum field theory using the method of loop vertex expansion. We reproduce the results of standard constructive theory, for example the Borel summability of the Schwinger functions in the coupling constant. Our method should be also suitable for the future construction of GrosseWulkenhaar models on noncommutative spacetime.