Exact renormalization group equation for the Lifshitz critical point
Abstract
An exact renormalization equation (ERGE) accounting for an anisotropic scaling is derived. The critical and tricritical Lifshitz points are then studied at leading order of the derivative expansion which is shown to involve two differential equations. The resulting estimates of the Lifshitz critical exponents compare well with the O(ε) calculations. In the case of the Lifshitz tricritical point, it is shown that a marginally relevant coupling defies the perturbative approach since it actually makes the fixed point referred to in the previous perturbative calculations O(ε) finally unstable.
 Publication:

Physics Letters A
 Pub Date:
 October 2004
 DOI:
 10.1016/j.physleta.2004.07.069
 arXiv:
 arXiv:hepth/0405027
 Bibcode:
 2004PhLA..331..110B
 Keywords:

 Exact renormalization group;
 Derivative expansion;
 Lifshitz critical point;
 High Energy Physics  Theory;
 Other
 EPrint:
 Final version