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  • Hynek, Mariusz (author)
  • Optimized Fock space in the large $N$ limit of quartic interactions in Matrix Models
  • 2016
  • In: Nuclear Physics B. - : Elsevier. - 0550-3213 .- 1873-1562. ; 906, s. 497-523
  • Journal article (peer-reviewed)abstract
    • We consider the problem of quantization of the bosonic membrane via the large N limit of its matrix regularizations HN in Fock space. We prove that there exists a choice of the Fock space frequency such that HN can be written as a sum of a non-interacting Hamiltonian H0,N and the original normal ordered quartic potential. Using this decomposition we obtain upper and lower bounds for the ground state energy in the planar limit, we study a perturbative expansion about the spectrum of H0,N , and show that the spectral gap remains finite at N=∞ at least up to the second order. We also apply the method to the U(N) -invariant anharmonic oscillator, and demonstrate that our bounds agree with the exact result of Brezin et al.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Hynek, Mariusz (1)
University
Royal Institute of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2016 (1)

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