Testing the RG-flow $M(3,10)+{\varphi }_{1,7}\to M(3,8)$ with Hamiltonian Truncation

Abstract

Hamiltonian Truncation (HT) methods provide a powerful numerical approach for investigating strongly coupled QFTs. In this work, we develop HT techniques to analyse a specific Renormalization Group (RG) flow recently proposed in Refs. [1, 3]. These studies put forward Ginzburg-Landau descriptions for the conformal minimal models $M(3,10)$ and $M(3,8)$, as well as the RG flow connecting them. Specifically, the RG-flow is defined by deforming the $M(3,10)$ with the relevant primary operator ${\varphi }_{1,7}$ (whose indices denote its position in the Kac table), yielding $M(3,10)+{\varphi }_{1,7}$. From the perspective of HT, realising such an RG-flow presents significant challenges, as the ${\varphi }_{1,7}$ deformation requires renormalizing the UV theory up to third order in the coupling constant of the deformation. In this study, we carry out the necessary calculations to formulate HT for this theory and numerically investigate the spectrum of $M(3,10)+{\varphi }_{1,7}$ in the large coupling regime, finding strong evidence in favour of the proposed flow.

46 pages, 6 figures and 6 tables. Typos in some derivations corrected

References in corpus (12)

• Five loop renormalization of ${\varphi }^3$ theory with applications to the Lee-Yang edge singularity and percolation theory
• Closure of the Operator Product Expansion in the Non-Unitary Bootstrap
• An improved lattice measurement of the critical coupling in phi^4_2 theory
• High-Precision Calculations in Strongly Coupled Quantum Field Theory with Next-to-Leading-Order Renormalized Hamiltonian Truncation
• Irreversibility of the renormalization group flow in non-unitary quantum field theory
• 2D Ising Field Theory in a Magnetic Field: The Yang-Lee Singularity
• Multicriticality in Yang-Lee edge singularity
• Hamiltonian Truncation Effective Theory
• Ginzburg-Landau Description and Emergent Supersymmetry of the $(3,8)$ Minimal Model
• Effective Hamiltonians and Counterterms for Hamiltonian Truncation
• Enhancing Quantum Field Theory Simulations on NISQ Devices with Hamiltonian Truncation
• Hamiltonian Truncation Crafted for UV-divergent QFTs

Cited by in corpus (3)

• Minimal Models RG flows: non-invertible symmetries & non-perturbative description
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Sphere free energy of scalar field theories with cubic interactions