Volume dependence of the energy spectrum in massive quantum field theories. II. Scattering states
Citations
1,455 citations
[...]
1,016 citations
Cites background from "Volume dependence of the energy spe..."
...He derived a relation between the energy shift in the finite volume and the scattering phase shift in the continuum (Lüscher, 1986, 1991), see also Refs....
[...]
968 citations
901 citations
764 citations
References
3,277 citations
"Volume dependence of the energy spe..." refers background in this paper
...The values of the scattering lengths a~ suggested by experiment [7] and chiral perturbation theory [ 8 ] are...
[...]
764 citations
727 citations
"Volume dependence of the energy spe..." refers background in this paper
...However, if data from different points on the same renormalization group trajectory (points of equal low energy physics in other words) are included in the analysis, one must make sure that finite size effects are not confused with O(a 2) corrections [ 13 ]....
[...]
635 citations
"Volume dependence of the energy spe..." refers background in this paper
...In their work on the non-ideal Bose gas almost 30 years ago, Huang and Yang [ 3 ] have already derived Eq. (1.3) in the special case of two (non-relativistic) hard spheres enclosed in a periodic box 1. More recently, the existence of the first nontrivial term in Eq. (1.3) has also been mentioned in ref....
[...]
...[ 3 ] and the values quoted here is due to an approximation made by Huang and Yang 156 M. Liischer...
[...]
...... amplitude, the requirement of periodicity leads to an (implicit) eigenvalue equation for E in which the dynamics of the system is only represented through the scattering amplitude at energy E. Except for the case of l + 1-dimensional quantum mechanics, which will be discussed later, this equation is complicated and is therefore not very useful, but it does explain why E is a function of the scattering amplitude at large L (cf. ref. [ 3 ] and ......
[...]