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0008502065
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y, of spin waves transverse to the ladder
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25
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0008524079
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note
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A later analysis of the O(3) case in 1 + 1d by Nicopoulos and Tsvelik [24] begins by writing down the quadratic coupling form (Eq. 9) appropriate to the AF situation, but proceeds to apply the results of the exact solution to the model with linear coupling [22]. No explanation is provided that this procedure is justified
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29
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33646657428
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0008442463
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F is not renormalized according to Luttinger's theorem. Similarly, in a Luttinger liquid the Zeeman interaction is in general also renormalized [34]: in the RG treatment of this case, the Luttinger liquid parameters (Kσ) themselves become logarithmically dependent on the magnetic field alone [34] (cf. Eq. (35)). Neither of these results satisfies the scaling hypothesis of Ref. [29]
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33
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0008477876
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note
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We note that the gauge theory (Eq. (36)) is non-Abelian [29] an important consequence of which is that different field components need not renormalize in the same way. Thus the result of Eq. (35) does not conflict with the discussion of gauge invariance and RG methods introducing finite momentum cutoffs in Refs. [35, 36], which concerns the Abelian case
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43
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4243524712
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Piovesana, O.8
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