SINGLE SCALE ANALYSIS OF MANY FERMION SYSTEMS PART 2: THE FIRST SCALE
نویسندگان
چکیده
منابع مشابه
Single Scale Analysis of Many Fermion Systems Part 2: the First Scale
The first renormalization group map arising from the momentum space decomposition of a weakly coupled system of fermions at temperature zero differs from all subsequent maps. Namely, the component of momentum dual to temperature may be arbitrarily large — there is no ultraviolet cutoff. The methods of Part 1 are supplemented to control this special case.
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We construct, using fermionic functional integrals, thermodynamic Green's functions for a weakly coupled fermion gas whose Fermi energy lies in a gap. Estimates on the Green's functions are obtained that are characteristic of the size of the gap. This prepares the way for the analysis of single scale renormalization group maps for a system of fermions at temperature zero without a gap.
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Abstract. For a two dimensional, weakly coupled system of fermions at temperature zero, one principal ingredient used to control the composition of the associated renormalization group maps is the careful counting of the number of quartets of sectors that are consistent with conservation of momentum. A similar counting argument is made to show that particleparticle ladders are irrelevant in the...
متن کاملX iv : m at h - ph / 0 20 90 41 v 1 2 1 Se p 20 02 Single Scale Analysis of Many Fermion Systems Part 2 : The First Scale
The first renormalization group map arising from the momentum space decomposition of a weakly coupled system of fermions at temperature zero differs from all subsequent maps. Namely, the component of momentum dual to temperature may be arbitrarily large – there is no ultraviolet cutoff. The methods of Part 1 are supplemented to control this special case. ∗ Research supported in part by the Natu...
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ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 2003
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x03001783