A. C. D. van Enter, and R. Fern'andez. Problems with the definition of renormalized Hamiltonians for momentum-space renormalization transformations. Phys. Rev. E, 59, 5165--5171, 1999.  Home/Search   Document Details and Download   Summary   Related Articles   Check

.... we shall not give them here and simply refer the reader to the relevant literature; moreover, our style will be mostly heuristic and non mathematical, with some remarks added for the mathematically For a discussion of problems arising in the definition of the RG in momentum space, see [29] inclined reader. 2 Gibbs States Since there exist many good references on the theory of Gibbs measures (also called Gibbs states) see e.g. 25, we shall only state the main definition and the basic properties. To start with a concrete example, consider the nearest neighbour ....

A. C. D. van Enter, and R. Fern'andez. Problems with the definition of renormalized Hamiltonians for momentum-space renormalization transformations. Phys. Rev. E, 59, 5165--5171, 1999.

....of blocks of size b (see, e.g. 50, Section 4.2] It is, therefore, reasonable to expect no essential difference between momentum and cell transformations in relation to non quasilocality. Indeed, an example of a non quasilocal momentum renormalized measure has already been constructed [61], where b F (k) is the identity except in one direction where it goes to zero at k 0 as cos 2 [ k= 2k 0 ) 6 Non Gibbsian measures: The treatment The in depth study of the properties of non Gibbsian measures is only at the beginning. I review here some important attempts, which can be ....

A. C. D. van Enter and R. Fern'andez. Problems with the definition of renormalized Hamiltonians of momentum-space renormalization transformations. In preparation.

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