The ColemanWeinberg effective potential in the theory of superconductivity
Abstract
A quasi twodimensional nonrelativistic fourFermi theory is studied at finite temperatures in the nexttoleading order approximation using the ColemanWeinberg effective potential. The appearance of an imaginary part to the oneloop correction is discussed in the context of condensed matter theory where it is referred to as the Thouless criterion for superconductivity. By reference to the appropriate modified effective potential one may revise the Thouless criterion to obtain a critical temperature in nexttoleading order that, unlike the meanfield temperature, tends to zero in the twodimensional limit in agreement with the Coleman theorem.
 Publication:

arXiv eprints
 Pub Date:
 April 1998
 DOI:
 10.48550/arXiv.condmat/9804310
 arXiv:
 arXiv:condmat/9804310
 Bibcode:
 1998cond.mat..4310Q
 Keywords:

 Condensed Matter  Superconductivity;
 High Energy Physics  Theory
 EPrint:
 18 pages, LaTeX, final version to be published in Theoretical and Mathematical Physics