Zobrazeno 1 - 10
of 308
pro vyhledávání: '"Splittorff, K."'
Autor:
Splittorff, K.
We consider the time evolution of a particle on a ring with a long solenoid through and show that due to the Aharonov-Bohm effect this system naturally makes up a physical implementation of the quantum phase estimation algorithm for a $U(1)$ unitary
Externí odkaz:
http://arxiv.org/abs/2407.11179
Publikováno v:
Phys. Rev. D 103, 014501 (2021)
A random matrix model for lattice QCD which takes into account the positive definite nature of the Wilson term is introduced. The corresponding effective theory for fixed index of the Wilson Dirac operator is derived to next to leading order. It reve
Externí odkaz:
http://arxiv.org/abs/2004.10420
Publikováno v:
Phys. Rev. E 101, 032117 (2020)
Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the average distribution of the initial zero modes of the Hermitian operators. The broadening of these zero modes is found to follow
Externí odkaz:
http://arxiv.org/abs/1911.11492
Publikováno v:
Phys. Rev. D 100, 114515 (2019)
The $\epsilon$-regime of dilaton chiral perturbation theory is introduced. We compute the dilaton mass, the chiral condensate and the topological susceptibility in the $\epsilon$-regime, as a function of the fermion mass. The microscopic spectral den
Externí odkaz:
http://arxiv.org/abs/1909.10796
Publikováno v:
Phys. Rev. E 99, 052112 (2019)
We consider the smallest eigenvalues of perturbed Hermitian operators with zero modes, either topological or system specific. To leading order for small generic perturbation we show that the corresponding eigenvalues broaden to a Gaussian random matr
Externí odkaz:
http://arxiv.org/abs/1902.01733
Autor:
Mielke, Adam, Splittorff, K.
Publikováno v:
Phys. Rev. D 95, 074516 (2017)
We consider two quenched, chiral ensembles which are coupled in such a way that a combined chiral symmetry is preserved. The coupling also links the topology of the two systems such that the number of exact zero modes in the coupled system equals the
Externí odkaz:
http://arxiv.org/abs/1609.04252
The behavior of quenched Dirac spectra of two-dimensional lattice QCD is consistent with spontaneous chiral symmetry breaking which is forbidden according to the Coleman-Mermin-Wagner theorem. One possible resolution of this paradox is that, because
Externí odkaz:
http://arxiv.org/abs/1605.03219
We present the comparison of the analytical microscopic spectral density for lattice QCD with $N_{\rm f}=2$ twisted mass fermions with the one obtained on the lattice utilizing configurations produced by the ETM collaboration. We extract estimates fo
Externí odkaz:
http://arxiv.org/abs/1510.09169
Autor:
Janssen, Oliver, Kieburg, Mario, Splittorff, K., Verbaarschot, Jacobus J. M., Zafeiropoulos, Savvas
Publikováno v:
Phys. Rev. D 93, 094502 (2016)
We consider the phase diagram of twisted mass Wilson fermions of two-flavor QCD in the parameter space of the quark mass, the isospin chemical potential, the twist angle and the lattice spacing. This work extends earlier studies in the continuum and
Externí odkaz:
http://arxiv.org/abs/1509.02760
Autor:
Mollgaard, A., Splittorff, K.
Publikováno v:
Phys. Rev. D 91, 036007 (2015)
It is demonstrated that the complex Langevin method can simulate chiral random matrix theory at non-zero chemical potential. The successful match with the analytic prediction for the chiral condensate is established through a shift of matrix integrat
Externí odkaz:
http://arxiv.org/abs/1412.2729