TY - JOUR
T1 - An adiabatic approximation to the path integral for relativistic fermionic fields
AU - Cortés, J. L.
AU - Gamboa, J.
AU - Lepe, S.
AU - Lopez-Sarrión, J.
N1 - Funding Information:
This work has been partially supported by the grants 1050114, 7010516 Fondecyt, Chile, DI-PUCV No. 123.771/2004 (S.L.) by AECI (Programa de Cooperación con Iberoamérica) and by MCYT (Spain), grant FPA2003-02948. J.L.S. thanks MECESUP-0108 and the Spanish Ministerio de Educación y Cultura for support.
PY - 2005/7/21
Y1 - 2005/7/21
N2 - A new approach to the path integral over fermionic fields, based on the extension of a reformulation of the adiabatic approximation to some quantum-mechanical systems, is presented. A novel non-analytic contribution to the effective fermionic action for a fermion field coupled to a non-Abelian vector field is identified. The possible interpretation of this contribution as a violation of the decoupling theorem in quantum field theory (QFT) is discussed. The generalization of the approach to the case of finite temperature and density suggests the possibility to apply it to the understanding of non-perturbative properties in QFT and their dependence on temperature and density.
AB - A new approach to the path integral over fermionic fields, based on the extension of a reformulation of the adiabatic approximation to some quantum-mechanical systems, is presented. A novel non-analytic contribution to the effective fermionic action for a fermion field coupled to a non-Abelian vector field is identified. The possible interpretation of this contribution as a violation of the decoupling theorem in quantum field theory (QFT) is discussed. The generalization of the approach to the case of finite temperature and density suggests the possibility to apply it to the understanding of non-perturbative properties in QFT and their dependence on temperature and density.
UR - http://www.scopus.com/inward/record.url?scp=21544435745&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2005.04.044
DO - 10.1016/j.physletb.2005.04.044
M3 - Article
AN - SCOPUS:21544435745
SN - 0370-2693
VL - 619
SP - 367
EP - 376
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -