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|a Walters, Matthew
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Genest, Vincent
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|a Khandker, Zuhair U.
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|a Walters, Matthew T.
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|a Genest, Vincent
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|a RG flow from ϕ⁴ theory to the 2D Ising model
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|b Springer Berlin Heidelberg,
|c 2017-09-26T18:52:54Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/111644
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|a We study 1+1 dimensional ϕ⁴ 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.
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|a United States. Department of Energy (Grant DE-SC0015845)
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|a Article
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|t Journal of High Energy Physics
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