https://doi.org/10.1140/epjc/s10052-014-3228-1
Regular Article - Theoretical Physics
Non-Gaussian fixed points in fermionic field theories without auxiliary Bose fields
1
Institute of Physics, Eötvös University, Pázmány Péter sétány 1/A, 1117, Budapest, Hungary
2
MTA-ELTE Biological and Statistical Physics Research Group, Pázmány Péter sétány 1/A, 1117, Budapest, Hungary
* e-mail: jakovac@caesar.elte.hu
Received:
30
October
2014
Accepted:
12
December
2014
Published online:
10
January
2015
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 bosonization. The results do not receive any correction in the next-to-leading order approximation of the gradient expansion of the effective action.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
