English

Bloch Theory for Periodic Block Spin Transformations

Mathematical Physics 2016-09-06 v1 math.MP

Abstract

Block spin renormalization group is the main tool used in our program to see symmetry breaking in a weakly interacting many Boson system on a three dimensional lattice at low temperature. It generates operators, like the fluctuation integral covariance, that act on some lattice but are translation invariant only with respect to a proper sublattice. This paper constructs a Bloch/Floquet framework that is appropriate for bounding such operators.

Keywords

Cite

@article{arxiv.1609.00964,
  title  = {Bloch Theory for Periodic Block Spin Transformations},
  author = {Tadeusz Balaban and Joel Feldman and Horst Knörrer and Eugene Trubowitz},
  journal= {arXiv preprint arXiv:1609.00964},
  year   = {2016}
}

Comments

21 pages, 1 figure

R2 v1 2026-06-22T15:39:36.489Z