Hamiltonian Truncation Crafted for UV-divergent QFTs

by Joan Elias Miró (ICTP)

Wednesday Mar 20, 2024, 2:00 PM → 3:00 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

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 Z2-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.

 

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