Abstract
We obtain a convergent multi-scale expansion for a class of low temperature classical vector spin models, of the type of lattice “λ|φ|4” field theory, in dimensions d ≥ 3. With the help of this expansion we prove main statements of the so called “spin wave picture”, like the existence of a continuum of phases parametrized by vectors of the unit sphere in the space of spins φ, and the existence of Goldstone bosons, i.e. free massless decay of truncated transversal two-point correlation functions.
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Balaban, T. (1995). A low temperature expansion and “spin wave picture” for classical N-vector models. In: Rivasseau, V. (eds) Constructive Physics Results in Field Theory, Statistical Mechanics and Condensed Matter Physics. Lecture Notes in Physics, vol 446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59190-7_30
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DOI: https://doi.org/10.1007/3-540-59190-7_30
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