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Manifestly gauge invariant QED

Manifestly gauge invariant QED
Manifestly gauge invariant QED
We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. Calculations can be performed almost entirely diagrammatically. The method is formulated within the framework of an exact renormalisation group for QED. We demonstrate the technique with a calculation of the one-loop beta function, achieving a manifestly universal result, and without gauge fixing.
115-[26pp]
Arnone, Stefano
d2a9a0a5-34fd-4205-b5f4-107208f44fb2
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Rosten, Oliver J.
26ca1633-a7c7-418f-af0d-e65b4ec487ed
Arnone, Stefano
d2a9a0a5-34fd-4205-b5f4-107208f44fb2
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Rosten, Oliver J.
26ca1633-a7c7-418f-af0d-e65b4ec487ed

Arnone, Stefano, Morris, Tim R. and Rosten, Oliver J. (2005) Manifestly gauge invariant QED. Journal of High Energy Physics, 10, 115-[26pp]. (doi:10.1088/1126-6708/2005/10/115).

Record type: Article

Abstract

We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. Calculations can be performed almost entirely diagrammatically. The method is formulated within the framework of an exact renormalisation group for QED. We demonstrate the technique with a calculation of the one-loop beta function, achieving a manifestly universal result, and without gauge fixing.

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Published date: October 2005

Identifiers

Local EPrints ID: 57005
URI: http://eprints.soton.ac.uk/id/eprint/57005
PURE UUID: 9d9c8e91-d3b7-4e05-a2b8-15d743a2792c
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

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Date deposited: 13 Aug 2008
Last modified: 03 Dec 2019 02:06

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