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 -