RG flow from ϕ[superscript 4] theory to the 2D Ising model
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13130_2017_Article_6492.pdf
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Author(s)
Anand, Nikhil
Katz, Emanuel
Khandker, Zuhair U.
Walters, Matthew T.
Genest, Vincent
Date Issued
August 2017
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Anand, Nikhil, et al. “RG Flow from ϕ[superscript 4] Theory to the 2D Ising Model.” Journal of High Energy Physics, vol. 2017, no. 8, Aug. 2017.
Version
Final published version
Abstract
We study 1+1 dimensional ϕ[superscript 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, C. We use these states to express the Hamiltonian of the full interacting theory in lightcone quantization. After truncating to states with C ≤ C[subscript 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. Keywords: Conformal Field Theory, Field Theories in Lower Dimensions, Nonperturbative Effects, Renormalization Group
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP08(2017)056
