Kink scaling functions in 2D non--integrable quantum field theories

Details Kink scaling functions in 2D non--integrable quantum field theories Kink scaling functions in 2D non--integrable quantum field theories

2005-10-12

arxiv.org/abs/hep-th/0510102v1

Nucl.Phys.B736:259-287,2006

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 10 figures

Scientific paper

10.1016/j.nuclphysb.2005.12.008

We determine the semiclassical energy levels for the \phi^4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite--volume kink solutions. The analytic form of the kink scaling functions for arbitrary size of the system allows us to describe the flow between the twisted sector of c=1 CFT in the UV region and the massive particles in the IR limit. Kink-creating operators are shown to correspond in the UV limit to disorder fields of the c=1 CFT. The problem of the finite--volume spectrum for generic 2D Landau--Ginzburg models is also discussed.

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