Non-Gaussian fixed points in fermionic field theories without auxiliary Bose-fields
High Energy Physics - Theory
2015-06-19 v2 High Energy Physics - Phenomenology
Abstract
The functional equation governing the renormalization flow of fermionic field theories is investigated in dimensions without introducing auxiliary Bose-fields on the example of the Gross-Neveu and the Nambu--Jona-Lasinio model. The UV safe fixed points and the eigenvectors of the renormalization group equations linearized around them are found in the local potential approximation. The results are compared carefully with those obtained with partial bosonisation. The results do not receive any correction in the next-to-leading order approximation of the gradient expansion of the effective action.
Cite
@article{arxiv.1406.3195,
title = {Non-Gaussian fixed points in fermionic field theories without auxiliary Bose-fields},
author = {A. Jakovac and A. Patkos and P. Posfay},
journal= {arXiv preprint arXiv:1406.3195},
year = {2015}
}
Comments
extended version to appear in EPJC, 15 pages, 4 figures, uses svjour3