Finite size effects in quantum field theories with boundary from scattering data

Details Finite size effects in quantum field theories with boundary from scattering data Finite size effects in quantum field theories with boundary from scattering data

2004-12-17

arxiv.org/abs/hep-th/0412192v2

Nucl.Phys. B716 (2005) 519-542

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 1 eps figure. Clarifying comments and a reference added

Scientific paper

10.1016/j.nuclphysb.2005.03.021

We derive a relation between leading finite size corrections for a 1+1 dimensional quantum field theory on a strip and scattering data, which is very similar in spirit to the approach pioneered by Luscher for periodic boundary conditions. The consistency of the results is tested both analytically and numerically using thermodynamic Bethe Ansatz, Destri-de Vega nonlinear integral equation and classical field theory techniques. We present strong evidence that the relation between the boundary state and the reflection factor one-particle couplings, noticed earlier by Dorey et al. in the case of the Lee-Yang model extends to any boundary quantum field theory in 1+1 dimensions.

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