Open AccessInequivalent representations in the functional integral framework
Author(s) -
Massimo Blasone,
Petr Jizba,
L. A. Smaldone
Publication year - 2017
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/804/1/012006
Subject(s) - path integral formulation , formalism (music) , mathematics , coherent states , pure mathematics , phase space , quantum field theory , algebra over a field , quantum , theoretical physics , physics , quantum mechanics , mathematical physics , art , musical , visual arts
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