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Pregled bibliografske jedinice broj: 1077884

Convergence of Nonperturbative Approximations to the Renormalization Group


Balog, Ivan; Chaté, Hugues; Delamotte, Bertrand; Marohnić, Maroje; Wschebor, Nicolás
Convergence of Nonperturbative Approximations to the Renormalization Group // Physical Review Letters, 123 (2019), 24; 240604, 5 doi:10.1103/physrevlett.123.240604 (međunarodna recenzija, pismo, ostalo)


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Naslov
Convergence of Nonperturbative Approximations to the Renormalization Group

Autori
Balog, Ivan ; Chaté, Hugues ; Delamotte, Bertrand ; Marohnić, Maroje ; Wschebor, Nicolás

Izvornik
Physical Review Letters (0031-9007) 123 (2019), 24; 240604, 5

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, pismo, ostalo

Ključne riječi
functional renormalization group, Ising model, derivative expansion

Sažetak
We provide analytical arguments showing that the “nonperturbative” approximation scheme to Wilson’s renormalization group known as the derivative expansion has a finite radius of convergence. We also provide guidelines for choosing the regulator function at the heart of the procedure and propose empirical rules for selecting an optimal one, without prior knowledge of the problem at stake. Using the Ising model in three dimensions as a testing ground and the derivative expansion at order six, we find fast convergence of critical exponents to their exact values, irrespective of the well-behaved regulator used, in full agreement with our general arguments. We hope these findings will put an end to disputes regarding this type of nonperturbative methods.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Ustanove:
Institut za fiziku, Zagreb

Profili:

Avatar Url Maroje Marohnić (autor)

Avatar Url Ivan Balog (autor)

Poveznice na cjeloviti tekst rada:

doi arxiv.org

Citiraj ovu publikaciju:

Balog, Ivan; Chaté, Hugues; Delamotte, Bertrand; Marohnić, Maroje; Wschebor, Nicolás
Convergence of Nonperturbative Approximations to the Renormalization Group // Physical Review Letters, 123 (2019), 24; 240604, 5 doi:10.1103/physrevlett.123.240604 (međunarodna recenzija, pismo, ostalo)
Balog, I., Chaté, H., Delamotte, B., Marohnić, M. & Wschebor, N. (2019) Convergence of Nonperturbative Approximations to the Renormalization Group. Physical Review Letters, 123 (24), 240604, 5 doi:10.1103/physrevlett.123.240604.
@article{article, author = {Balog, Ivan and Chat\'{e}, Hugues and Delamotte, Bertrand and Marohni\'{c}, Maroje and Wschebor, Nicol\'{a}s}, year = {2019}, pages = {5}, DOI = {10.1103/physrevlett.123.240604}, chapter = {240604}, keywords = {functional renormalization group, Ising model, derivative expansion}, journal = {Physical Review Letters}, doi = {10.1103/physrevlett.123.240604}, volume = {123}, number = {24}, issn = {0031-9007}, title = {Convergence of Nonperturbative Approximations to the Renormalization Group}, keyword = {functional renormalization group, Ising model, derivative expansion}, chapternumber = {240604} }
@article{article, author = {Balog, Ivan and Chat\'{e}, Hugues and Delamotte, Bertrand and Marohni\'{c}, Maroje and Wschebor, Nicol\'{a}s}, year = {2019}, pages = {5}, DOI = {10.1103/physrevlett.123.240604}, chapter = {240604}, keywords = {functional renormalization group, Ising model, derivative expansion}, journal = {Physical Review Letters}, doi = {10.1103/physrevlett.123.240604}, volume = {123}, number = {24}, issn = {0031-9007}, title = {Convergence of Nonperturbative Approximations to the Renormalization Group}, keyword = {functional renormalization group, Ising model, derivative expansion}, chapternumber = {240604} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus
  • MEDLINE


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