RG flow from Φ ^{4} theory to the 2D Ising model
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, C. We use these states to express the Hamiltonian of the full interacting theory in lightcone quantization. After truncating to states with C≤C _{max}, we numerically diagonalize the Hamiltonian at strong coupling and study the resulting IR dynamics. We compute nonperturbative spectral densities of several local operators, which are equivalent to realtime, infinitevolume correlation functions. These spectral densities, which include the Zamolodchikov Cfunction 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.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]};
^{[3]}
 Johns Hopkins Univ., Baltimore, MD (United States). Department of Physics and Astronomy
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Mathematics
 Boston Univ., MA (United States). Dept. of Physics
 Boston Univ., MA (United States). Dept. of Physics ; Univ. of Illinois, Urbana, IL (United States). Department of Physics
 Publication Date:
 Grant/Contract Number:
 SC0015845
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 8; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Boston Univ., MA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Conformal Field Theory; Field Theories in Lower Dimensions; Nonperturbative Effects; Renormalization Group
 OSTI Identifier:
 1426157
Anand, Nikhil, Genest, Vincent X., Katz, Emanuel, Khandker, Zuhair U., and Walters, Matthew T.. RG flow from Φ 4 theory to the 2D Ising model. United States: N. p.,
Web. doi:10.1007/JHEP08(2017)056.
Anand, Nikhil, Genest, Vincent X., Katz, Emanuel, Khandker, Zuhair U., & Walters, Matthew T.. RG flow from Φ 4 theory to the 2D Ising model. United States. doi:10.1007/JHEP08(2017)056.
Anand, Nikhil, Genest, Vincent X., Katz, Emanuel, Khandker, Zuhair U., and Walters, Matthew T.. 2017.
"RG flow from Φ 4 theory to the 2D Ising model". United States.
doi:10.1007/JHEP08(2017)056. https://www.osti.gov/servlets/purl/1426157.
@article{osti_1426157,
title = {RG flow from Φ 4 theory to the 2D Ising model},
author = {Anand, Nikhil and Genest, Vincent X. and Katz, Emanuel and Khandker, Zuhair U. and Walters, Matthew T.},
abstractNote = {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, C. We use these states to express the Hamiltonian of the full interacting theory in lightcone quantization. After truncating to states with C≤Cmax, we numerically diagonalize the Hamiltonian at strong coupling and study the resulting IR dynamics. We compute nonperturbative spectral densities of several local operators, which are equivalent to realtime, infinitevolume correlation functions. These spectral densities, which include the Zamolodchikov Cfunction 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.},
doi = {10.1007/JHEP08(2017)056},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2017,
place = {United States},
year = {2017},
month = {8}
}