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More on volume dependence of spectral weight function · Around

2010

More on volume dependence of spectral weight function

Niu, Zhi-Yuan, Du, De-Chuan, Guo, Bao-Zhong et al.

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Spectral weight functions are easily obtained from two-point correlation functions and they might be used to distinguish single-particle from multi-particle states in a finite-volume lattice calculation, a problem crucial for many lattice QCD simulations.

In previous studies, it is shown that the spectral weight function for a broad resonance shares the typical volume dependence of a two-particle scattering state i.e.
proportional to $1/L^3$ in a large cubic box of size $L$ while the narrow resonance case requires further investigation.
In this paper, a generalized formula is found for the spectral weight function which incorporates both narrow and broad resonance cases.

Built on

A Method for Obtaining Electronic Eigenfunctions and Eigenvalues in Solids with An Application to Sodium
Fred C. von der Lage and H. A. Bethe · 1947
Earlier work this paper cites.
Quantum Mechanics, 3rd ed
Original
L.D. Landan and E.M. Lifshitz · 1977
Earlier work this paper cites.

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Then

Volume dependence of spectral weights for unstable particles in a solvable model
Guozhan Meng and Chuan Liu · 2008
Later among the works it cites.
Volume dependence of spectral weight functions
Zhi-Yuan Niu, Ming Gong, Chuan Liu, and Yan Shen · 2009
Later among the works it cites.

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