Details
| Original language | English |
|---|---|
| Article number | 100402 |
| Journal | Physical Review Letters |
| Volume | 110 |
| Issue number | 10 |
| Publication status | Published - 5 Mar 2013 |
Abstract
We show how to construct renormalization group (RG) flows of quantum field theories in real space, as opposed to the usual Wilsonian approach in momentum space. This is achieved by generalizing the multiscale entanglement renormalization ansatz to continuum theories. The variational class of wave functions arising from this RG flow are translation invariant and exhibits an entropy-area law. We illustrate the construction for a free nonrelativistic boson model, and argue that the full power of the construction should emerge in the case of interacting theories.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical Review Letters, Vol. 110, No. 10, 100402, 05.03.2013.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Entanglement renormalization for quantum fields in real space
AU - Haegeman, Jutho
AU - Osborne, Tobias J.
AU - Verschelde, Henri
AU - Verstraete, Frank
PY - 2013/3/5
Y1 - 2013/3/5
N2 - We show how to construct renormalization group (RG) flows of quantum field theories in real space, as opposed to the usual Wilsonian approach in momentum space. This is achieved by generalizing the multiscale entanglement renormalization ansatz to continuum theories. The variational class of wave functions arising from this RG flow are translation invariant and exhibits an entropy-area law. We illustrate the construction for a free nonrelativistic boson model, and argue that the full power of the construction should emerge in the case of interacting theories.
AB - We show how to construct renormalization group (RG) flows of quantum field theories in real space, as opposed to the usual Wilsonian approach in momentum space. This is achieved by generalizing the multiscale entanglement renormalization ansatz to continuum theories. The variational class of wave functions arising from this RG flow are translation invariant and exhibits an entropy-area law. We illustrate the construction for a free nonrelativistic boson model, and argue that the full power of the construction should emerge in the case of interacting theories.
UR - http://www.scopus.com/inward/record.url?scp=84874597572&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.110.100402
DO - 10.1103/PhysRevLett.110.100402
M3 - Article
AN - SCOPUS:84874597572
VL - 110
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 10
M1 - 100402
ER -