Work

RG flow from ϕ 4 theory to the 2D Ising model

Year: 2017

Type: article

Abstract: We study 1+1 dimensional ϕ 4 theory using the recently proposed method of conformal truncation. Starting in the UV CFT of free field theory, we construct a complete basis of states with definite conformal Casimir, $$ \mathcal{C} $$ . We use these states to express the Hamiltonian of the full interacting theory in lightcone quantization. After truncating to states with $$ \mathcal{C}\le {\mathcal{C}}_{\max } $$ , we numerically diagonalize the Hamiltonian at strong coupling and study the resulting IR dynamics. We compute non-perturbative spectral densities of several local operators, which are equivalent to real-time, infinite-volume correlation functions. These spectral densities, which include the Zamolodchikov C-function along the full RG flow, are calculable at any value of the coupling. Near criticality, our numerical results reproduce correlation functions in the 2D Ising model.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep08(2017)056

Authors: Nikhil Anand, Vincent X. Genest, Emanuel Katz, Zuhair U. Khandker, Matthew T. Walters

Institutions: Johns Hopkins University, Massachusetts Institute of Technology, Boston University, University of Illinois Urbana-Champaign, University of Illinois System

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: U.S. Department of Energy, Johns Hopkins University

Award: TOPICS IN THEORETICAL PARTICLE PHYSICS