Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Shinsuke M. Nishigaki"'
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 8, Pp 1-44 (2019)
Abstract We compute individual distributions of low-lying eigenvalues of massive chiral random matrix ensembles by the Nyström-type quadrature method for evaluating the Fredholm determinant and Pfaffian that represent the analytic continuation of th
Externí odkaz:
https://doaj.org/article/59ba55eb398d4f9aa79d1b5d27d40212
Autor:
Shinsuke M. Nishigaki
The J\'{a}nossy density for a determinantal point process is the probability density that an interval $I$ contains exactly $p$ points except for those at $k$ designated loci. The J\'{a}nossy density associated with an integrable kernel $\mathbf{K}\do
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fa3191801974e93bda9a89a02119709
Autor:
Takuya Yamamoto, Shinsuke M. Nishigaki
Publikováno v:
Progress of Theoretical and Experimental Physics
We compute individual distributions of low-lying eigenvalues of a chiral random matrix ensemble interpolating symplectic and unitary symmetry classes by the Nystr\"om-type method of evaluating the Fredholm Pfaffian and resolvents of the quaternion ke
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::484124cd913dafef3eab9c7e5c9f83a6
https://doi.org/10.1093/ptep/ptx188
https://doi.org/10.1093/ptep/ptx188
Autor:
Shinsuke M. Nishigaki
Based on the exact relationship to random matrix theory, we present an alternative method of evaluating the probability distribution of the k-th smallest Dirac eigenvalue in the epsilon-regime of QCD and QCD-like theories. By utilizing the Nystrom-ty
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f457f2350c52acfadd2ad7b0383a53ab
http://arxiv.org/abs/1606.00276
http://arxiv.org/abs/1606.00276
Publikováno v:
Proceedings of The 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014).
We compute statistical distributions of individual low-lying eigenvalues of random matrix ensembles interpolating chiral Gaussian symplectic and unitary ensembles. To this aim we use the Nystrom-type discretization of Fredholm Pfaffians and resolvent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b2bdba6bc90508c8f3d00fe1b6dab7b
https://doi.org/10.22323/1.214.0067
https://doi.org/10.22323/1.214.0067
Publikováno v:
Physical Review D. 91
Canonical partition functions and Lee-Yang zeros of QCD at finite density and high temperature are studied. Recent lattice simulations have confirmed that the free energy of QCD is a quartic function of quark chemical potential at temperature slightl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5dc4b8ceeabb962c76b62f1fbd05e951
https://doi.org/10.1103/physrevd.91.094507
https://doi.org/10.1103/physrevd.91.094507
Autor:
Gerald V. Dunne, Shinsuke M. Nishigaki
Publikováno v:
Nuclear Physics B. 670:307-328
We study the phase diagram for two-color QCD in three-dimensional spacetime, as a function of temperature and baryon chemical potential, using the low-energy effective Lagrangian approach. We show one-loop renormalizability at zero temperature, and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d0afa8648f34e9d1f1c8a2d0685ae2b
https://doi.org/10.1016/j.nuclphysb.2003.07.024
https://doi.org/10.1016/j.nuclphysb.2003.07.024
Autor:
Shinsuke M. Nishigaki
Publikováno v:
Physical Review E. 58:R6915-R6918
We consider unitary invariant random matrix ensembles which obey spectral statistics different from the Wigner-Dyson, including unitary ensembles with slowly (~(log x)^2) growing potentials and the finite-temperature fermi gas model. If the deformati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1be78e8c5a7407f36a5cc3c3bd2e70fb
https://doi.org/10.1103/physreve.58.r6915
https://doi.org/10.1103/physreve.58.r6915
Publikováno v:
Physical Review D. 57:5299-5302
Based on random matrix theory in the unitary ensemble, we derive the double-microscopic massive spectral correlators corresponding to the Dirac operator of QCD_3 with an even number of fermions N_f. We prove that these spectral correlators are univer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36dd6394a0b1a5a15b094ac881187fe9
https://doi.org/10.1103/physrevd.57.5299
https://doi.org/10.1103/physrevd.57.5299
Publikováno v:
Nuclear Physics B. 487:721-738
We prove the universality of correlation functions of chiral unitary and unitary ensembles of random matrices in the microscopic limit. The essence of the proof consists in reducing the three-term recursion relation for the relevant orthogonal polyno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cd0bf4da2bc6c5a18db2ba8ce376eae
https://doi.org/10.1016/s0550-3213(96)00713-4
https://doi.org/10.1016/s0550-3213(96)00713-4