Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-12-23
Nucl.Phys. B603 (2001) 180-194
Physics
High Energy Physics
High Energy Physics - Lattice
19 pages, 5 figures, strong coupling asymptotics corrected, discussion of continuum limit extended, conclusions unchanged
Scientific paper
For the family of O(n) invariant nonlinear sigma-models we consider boundary conditions that are periodic up to an O(n) rotation. The helicity modulus is related to the change in free energy under variations of the corresponding angle. It defines a nonperturbative finite volume running coupling similar to the Schr"odinger functional for QCD. For the two-dimensional O(3)-model we investigate this quantity by analytical and numerical techniques. We establish its universal continuum relation to the finite volume massgap coupling at all scales and coupling strengths.
Molke Heiko
Wolff Ulli
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