Practical corollaries of transverse Ward–Green–Takahashi identities

  • The gauge principle is fundamental in formulating the Standard Model. Fermion–gauge-boson couplings are the inescapable consequence and the primary determining factor for observable phenomena. Vertices describing such couplings are simple in perturbation theory and yet the existence of strong-interaction bound-states guarantees that many phenomena within the Model are nonperturbative. It is therefore crucial to understand how dynamics dresses the vertices and thereby fundamentally alters the appearance of fermion–gauge-boson interactions. We consider the coupling of a dressed-fermion to an Abelian gauge boson, and describe a unified treatment and solution of the familiar longitudinal Ward–Green–Takahashi identity and its less well known transverse counterparts. Novel consequences for the dressed-fermion–gauge-boson vertex are exposed.

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Author:Si-xue QinORCiD, Lei ChangORCiD, Yu-xin LiuGND, Craig D. RobertsORCiD, Sebastian M. SchmidtORCiDGND
URN:urn:nbn:de:hebis:30:3-767585
DOI:https://doi.org/10.1016/j.physletb.2013.04.034
ISSN:0370-2693
Parent Title (English):Physics Letters B
Publisher:Elsevier
Place of publication:Amsterdam
Document Type:Article
Language:English
Date of Publication (online):2013/04/17
Date of first Publication:2013/04/17
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2023/10/19
Tag:Dynamical chiral symmetry breaking; Dyson–Schwinger equations; Fermion–gauge-boson vertex; Quantum electrodynamics
Volume:722.2013
Issue:4
Page Number:5
First Page:384
Last Page:388
HeBIS-PPN:517560933
Institutes:Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 3.0

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