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Chapter 14
Spin chains: bosonization
This chapter has two central aims. The first is the description of the
phase diagram and quantum phase transitions of a class of S = 1/2
antiferromagnets in d = 1 with antiferromagnetic first and second
neighbor exchange: the results are interpreted in the context of the general
discussion of antiferromagnets in Chapter 13.
The second is the introduction of the technical tool of bosonization, and
an illustratation its utility in the solutions of the d = 1 antiferromagnets.
Exercises
Corrections

Just below (14.3), replace m=2w by m=0.

In (14.16), the subscript of the first Y should
be n_{2}n, not n_{2}+n.

Two lines above (14.38), replace P_{f}
by iP_{f}

In (14.38) replace the leading 1/2 by i/2.

In Eqn. (14.41), replace 2 /(p^{2}
x^{2}) by  2K/(p^{2}
x^{2}).

In the second equation of (14.74), replace y_{1} on the
left hand side by y_{2}
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