Wilson-Gerow, Jordan and Stamp, P. C. E. (2022) Gauge invariant propagators and states in quantum electrodynamics. Annals of Physics, 442 . Art. No. 168898. ISSN 0003-4916. doi:10.1016/j.aop.2022.168898. https://resolver.caltech.edu/CaltechAUTHORS:20220513-557924000
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Accepted Version
See Usage Policy. 977kB |
|
PDF
- Submitted Version
See Usage Policy. 733kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20220513-557924000
Abstract
We study combined matter/gauge field gauge invariant states in terms of data living on the boundary of gauge invariant path-integrals. To get concrete results, this is done for scalar and spinor QED, for both ‘time-slice’, and ‘causal diamond’ boundaries. We discuss both the standard case where the gauge field falls off to zero at the spatial boundaries, and the case of ‘large gauge transformations’, where it remains finite at these boundaries. The path-integral naturally generates a specific dressing factor for states living on time-slices, without fixing any gauge, and we identify a universal contribution which depends only on the nature of the boundaries. We also derive the analogous dressing for states defined on null infinity, showing both its Coulombic parts as well as soft-photon parts.
| Item Type: | Article | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| ||||||||||
| ORCID: |
| ||||||||||
| Additional Information: | © 2022 Elsevier. Received 19 January 2022, Accepted 1 May 2022, Available online 9 May 2022. This work was funded in Canada by the National Science and Engineering Research Council of Canada (NSERC). In the USA, PCES received support at Caltech from the Simons Foundation, USA (Award 568762) and the National Science Foundation, USA (Award PHY-1733907). JWG was additionally supported by a NSERC PGS-D award in Canada, and a Burke Fellowship at Caltech. We have benefited particularly from extended discussions with C Delisle at UBC. We also thank W.G. Unruh at UBC and Y. Chen at Caltech for illuminating remarks. We would also like to acknowledge the support and hospitality of Y. Chen, T.F. Rosenbaum, and K.S. Thorne at Caltech. CRediT authorship contribution statement: Jordan Wilson-Gerow: Conceptualization, Methodology, Validation, Writing – original draft, Writing – review & editing, Visualization, Supervision, Project administration, Funding acquisition. P.C.E. Stamp: Conceptualization, Methodology, Validation, Writing – original draft, Writing – review & editing, Visualization, Supervision, Project administration, Funding acquisition. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. | ||||||||||
| Group: | Walter Burke Institute for Theoretical Physics | ||||||||||
| Funders: |
| ||||||||||
| Subject Keywords: | QED; Gauge invariance; Path-integral; Constraints; Soft photons | ||||||||||
| DOI: | 10.1016/j.aop.2022.168898 | ||||||||||
| Record Number: | CaltechAUTHORS:20220513-557924000 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220513-557924000 | ||||||||||
| Official Citation: | Jordan Wilson-Gerow, P.C.E. Stamp, Gauge invariant propagators and states in quantum electrodynamics, Annals of Physics, Volume 442, 2022, 168898, ISSN 0003-4916, https://doi.org/10.1016/j.aop.2022.168898. | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 114741 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | George Porter | ||||||||||
| Deposited On: | 13 May 2022 23:19 | ||||||||||
| Last Modified: | 08 Jun 2022 17:59 |
Repository Staff Only: item control page
