An Adiabatic Approximation to the Path Integral for Relativistic Fermionic Fields
摘要
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 efective 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.
引用
@article{arxiv.hep-ph/0204054,
title = {An Adiabatic Approximation to the Path Integral for Relativistic Fermionic Fields},
author = {J. L. Cortes and J. Gamboa and S. Lepe and J. Lopez-Sarrion},
journal= {arXiv preprint arXiv:hep-ph/0204054},
year = {2012}
}
备注
v3: to appear in Phys. Lett. B. Title changed. Several changes made during the long period since the last version. The discussion of possible physical realizations of the approximation introduced in this paper has been improved