RG flow from ϕ⁴ theory to the 2D Ising model

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 lig...

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Bibliographic Details
Main Authors: Walters, Matthew (Author), Khandker, Zuhair U. (Author), Walters, Matthew T. (Author), Genest, Vincent (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2017-09-26T18:52:54Z.
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Online Access:Get fulltext
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100 1 0 |a Walters, Matthew  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Genest, Vincent  |e contributor 
700 1 0 |a Khandker, Zuhair U.  |e author 
700 1 0 |a Walters, Matthew T.  |e author 
700 1 0 |a Genest, Vincent  |e author 
245 0 0 |a RG flow from ϕ⁴ theory to the 2D Ising model 
260 |b Springer Berlin Heidelberg,   |c 2017-09-26T18:52:54Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/111644 
520 |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. 
520 |a United States. Department of Energy (Grant DE-SC0015845) 
655 7 |a Article 
773 |t Journal of High Energy Physics