Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-04
Nucl.Phys.B748:485-523,2006
Physics
High Energy Physics
High Energy Physics - Theory
47 pages, 12 eps figures, LaTeX2e file v2: some textual inaccuracies, misprints and typos corrected v3: some more corrections,
Scientific paper
10.1016/j.nuclphysb.2006.05.007
We develop methods to extract resonance widths from finite volume spectra of 1+1 dimensional quantum field theories. Our two methods are based on Luscher's description of finite size corrections, and are dubbed the Breit-Wigner and the improved "mini-Hamiltonian" method, respectively. We establish a consistent framework for the finite volume description of sufficiently narrow resonances that takes into account the finite size corrections and mass shifts properly. Using predictions from form factor perturbation theory, we test the two methods against finite size data from truncated conformal space approach, and find excellent agreement which confirms both the theoretical framework and the numerical validity of the methods. Although our investigation is carried out in 1+1 dimensions, the extension to physical (3+1) space-time dimensions appears straightforward, given sufficiently accurate finite volume spectra.
Pozsgay Balazs
Taka'cs Ga'bor
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