Finite Cutoff CFT's and Composite Operators
| Autor: | Dutta, Semanti, Sathiapalan, B. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Nucl.Phys.B 973 (2021) 115574 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.nuclphysb.2021.115574 |
| Popis: | Recently a conformally invariant action describing the Wilson-Fischer fixed point in $D=4-\epsilon$ dimensions in the presence of a {\em finite} UV cutoff was constructed \cite{Dutta}. In the present paper we construct two composite operator perturbations of this action with definite scaling dimension also in the presence of a finite cutoff. Thus the operator (as well as the fixed point action) is well defined at all momenta $0\leq p\leq \infty$ and at low energies they reduce to $\int_x \phi^2$ and $\int _x \phi^4$ respectively. The construction includes terms up to $O(\lamda^2)$. In the presence of a finite cutoff they mix with higher order irrelevant operators. The dimensions are also calculated to this order and agree with known results. Comment: 53 pages, 5 figures |
| Databáze: | arXiv |
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