Susceptibility Amplitude Ratios Near a Lifshitz Point

Details Susceptibility Amplitude Ratios Near a Lifshitz Point Susceptibility Amplitude Ratios Near a Lifshitz Point

1999-10-13

arxiv.org/abs/cond-mat/9910199v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, latex

Scientific paper

10.1103/PhysRevB.61.14691

The susceptibility amplitude ratio in the neighborhood of a uniaxial Lifshitz point is calculated at one-loop level using field-theoretic and $\epsilon_{L}$-expansion methods. We use the Schwinger parametrization of the propagator in order to split the quadratic and quartic part of the momenta, as well as a new special symmetry point suitable for renormalization purposes. For a cubic lattice (d = 3), we find the result $\frac{C_{+}}{C_{-}} = 3.85$.

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