First lattice QCD calculation at the SU(3) flavour symmetric point finds poles in exotic charm-light meson scattering amplitudes, linking a J^P=0+ resonance to experimental T*cs0(2870)^0 and T*c s-bar0(2900) states and predicting partners in J^P=1+ and 2+.
On the generalized eigenvalue method for energies and matrix elements in lattice field theory
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abstract
We discuss the generalized eigenvalue problem for computing energies and matrix elements in lattice gauge theory, including effective theories such as HQET. It is analyzed how the extracted effective energies and matrix elements converge when the time separations are made large. This suggests a particularly efficient application of the method for which we can prove that corrections vanish asymptotically as $\exp(-(E_{N+1}-E_n) t)$. The gap $E_{N+1}-E_n$ can be made large by increasing the number $N$ of interpolating fields in the correlation matrix. We also show how excited state matrix elements can be extracted such that contaminations from all other states disappear exponentially in time. As a demonstration we present numerical results for the extraction of ground state and excited B-meson masses and decay constants in static approximation and to order $1/m_b$ in HQET.
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UNVERDICTED 8representative citing papers
The causal bootstrap computes rigorous bounds on smeared spectral functions from non-perturbative Euclidean data by optimizing over the convex set of compatible positive spectral densities and reducing dual problems to semidefinite programs for certain kernels.
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
Lattice QCD at m_π≈391 MeV finds D1 bound state below D*π threshold strongly coupled in S-wave and D1' resonance in elastic D*π region for I=1/2 charmed channels.
Finite-volume N/D analysis with left-hand cuts applied to lattice data shows a mild but statistically significant effect on H-dibaryon binding energy compared to Lüscher quantization.
New orthogonal constructions of charged physical states in SU(2)×U(1) lattice gauge-Higgs theory with a static fermion reveal multiple masses in the charged spectrum.
Introduces bounds-based stopping criteria and automatic windowing for autocorrelation integrals to estimate statistical errors in lattice field theory Monte Carlo simulations.
Lattice QCD calculations indicate charmonium states persist below the open-charm threshold up to 305 MeV but develop temperature-dependent thermal widths that increase with state size.
citing papers explorer
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Exotic $T^*_{csJ}$ and $T^*_{c\bar{s}J}$ states and coupled-channel scattering at the $SU(3)$ flavour symmetric point from lattice QCD
First lattice QCD calculation at the SU(3) flavour symmetric point finds poles in exotic charm-light meson scattering amplitudes, linking a J^P=0+ resonance to experimental T*cs0(2870)^0 and T*c s-bar0(2900) states and predicting partners in J^P=1+ and 2+.
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The Causal Bootstrap: Bounding Smeared Spectral Functions from Non-Perturbative Euclidean Data
The causal bootstrap computes rigorous bounds on smeared spectral functions from non-perturbative Euclidean data by optimizing over the convex set of compatible positive spectral densities and reducing dual problems to semidefinite programs for certain kernels.
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Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
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$D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD
Lattice QCD at m_π≈391 MeV finds D1 bound state below D*π threshold strongly coupled in S-wave and D1' resonance in elastic D*π region for I=1/2 charmed channels.
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Finite-volume analysis of the $H$-dibaryon including left-hand-cut effects
Finite-volume N/D analysis with left-hand cuts applied to lattice data shows a mild but statistically significant effect on H-dibaryon binding energy compared to Lüscher quantization.
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Varieties of electrically charged physical states in SU(2)$\times$U(1) lattice gauge Higgs theory
New orthogonal constructions of charged physical states in SU(2)×U(1) lattice gauge-Higgs theory with a static fermion reveal multiple masses in the charged spectrum.
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Bounding statistical errors in lattice field theory simulations
Introduces bounds-based stopping criteria and automatic windowing for autocorrelation integrals to estimate statistical errors in lattice field theory Monte Carlo simulations.
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Charmonium properties at high temperatures from lattice QCD
Lattice QCD calculations indicate charmonium states persist below the open-charm threshold up to 305 MeV but develop temperature-dependent thermal widths that increase with state size.