Hamiltonian Truncation Crafted for UV-divergent QFTs
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909488727982080 |
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| author | Delouche, Olivier Miro, Joan Elias Ingoldby, James |
| author_facet | Delouche, Olivier Miro, Joan Elias Ingoldby, James |
| contents | We develop the theory of Hamiltonian Truncation (HT) to systematically study RG flows that require the renormalization of coupling constants. This is a necessary step towards making HT a fully general method for QFT calculations. We apply this theory to a number of QFTs defined as relevant deformations of $d=1+1$ CFTs. We investigated three examples of increasing complexity: the deformed Ising, Tricritical-Ising, and non-unitary minimal model $M(3,7)$. The first two examples provide a crosscheck of our methodologies against well established characteristics of these theories. The $M(3,7)$ CFT deformed by its $Z_2$-even operators shows an intricate phase diagram that we clarify. At a boundary of this phase diagram we show that this theory flows, in the IR, to the $M(3,5)$ CFT. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09221 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hamiltonian Truncation Crafted for UV-divergent QFTs Delouche, Olivier Miro, Joan Elias Ingoldby, James High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice High Energy Physics - Phenomenology We develop the theory of Hamiltonian Truncation (HT) to systematically study RG flows that require the renormalization of coupling constants. This is a necessary step towards making HT a fully general method for QFT calculations. We apply this theory to a number of QFTs defined as relevant deformations of $d=1+1$ CFTs. We investigated three examples of increasing complexity: the deformed Ising, Tricritical-Ising, and non-unitary minimal model $M(3,7)$. The first two examples provide a crosscheck of our methodologies against well established characteristics of these theories. The $M(3,7)$ CFT deformed by its $Z_2$-even operators shows an intricate phase diagram that we clarify. At a boundary of this phase diagram we show that this theory flows, in the IR, to the $M(3,5)$ CFT. |
| title | Hamiltonian Truncation Crafted for UV-divergent QFTs |
| topic | High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.09221 |