Inequivalent representations in the functional integral framework

24th International Conference on Integrable Systems and Quantum symmetries

Blasone, M.^1,3 ; Jizba, P.^2 ; Smaldone, L.^1,3

Dipartimento di Fisica, Universita di Salerno, Via Giovanni Paolo II, Fisciano

132 84084, Italy^1

FNSPE, Czech Technical University in Prague, Behová 7, Praha 1

115 19, Czech Republic^2

INFN Sezione di Napoli, Gruppo Collegato di Salerno, Italy^3

关键词: Canonical transformation;    Coherent state;    Commutation relation;    Functional integral formalism;    Functional integrals;    Important features;    Path integral;    Quantum field theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012006/pdf
DOI  :  10.1088/1742-6596/804/1/012006

来源: IOP

【 摘 要 】

An important feature of Quantum Field Theory is the existence of unitarily inequivalent representations of canonical commutation relations. When one works with the functional integral formalism, it is not clear, however, how this feature emerges. By following the seminal work of M. Swanson on canonical transformations in phase-space path integral, we generalize his approach to coherent-state functional integrals which in turn will lead to a simplified formalism which makes the appearance of the inequivalent representations more transparent.