How Prof. Zeidler Supported Our Research on Exact Solution of Quantum Field Theory Toy Models
| Autor: | Raimar Wulkenhaar, Harald Grosse |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
General Mathematics
010102 general mathematics Renormalisation Euclidean group Non-perturbative solution Position and momentum space Space (mathematics) 01 natural sciences Exact solutions in general relativity Reflection (mathematics) 0103 physical sciences 010307 mathematical physics 0101 mathematics Quantum field theory Invariant (mathematics) 4D noncommutative quantum field theory Eigenvalues and eigenvectors Integral equation Mathematics Mathematical physics |
| DOI: | 10.1007/s10013-018-0302-2 |
| Popis: | Over many years, we developed the construction of the ϕ4-model on four-dimensional Moyal space. The solution of the related matrix model $\mathcal {Z}[E,J]=\int d{\Phi } \exp (\text {tr}(J{\Phi }- E{\Phi }^{2} -\frac {\lambda }{4} {\Phi }^{4}))$ is given in terms of the solution of a non-linear equation for the 2-point function and the eigenvalues of E. The resulting Schwinger functions in position space are symmetric and invariant under the full Euclidean group. Locality is fulfilled. The Schwinger 2-point function is reflection positive in special cases. |
| Databáze: | OpenAIRE |
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