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Trace anomaly and infrared cutoffs

Trace anomaly and infrared cutoffs
Trace anomaly and infrared cutoffs
The effective average action is a form of effective action which depends on a cutoff scale suppressing the contribution of low momentum modes in the functional integral. It reduces to the ordinary effective action when the cutoff scale goes to zero. We derive the modifications of the scale Ward identity due to this cutoff and show how the resulting identity then intimately relates the trace anomaly to the Wilsonian realization of the renormalization group.
1550-7998
1-12
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Percacci, Roberto
f662e494-e561-44d8-874e-59881a370d90
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Percacci, Roberto
f662e494-e561-44d8-874e-59881a370d90

Morris, Tim R. and Percacci, Roberto (2019) Trace anomaly and infrared cutoffs. Physical Review D, 99 (10), 1-12, [105007]. (doi:10.1103/PhysRevD.99.105007).

Record type: Article

Abstract

The effective average action is a form of effective action which depends on a cutoff scale suppressing the contribution of low momentum modes in the functional integral. It reduces to the ordinary effective action when the cutoff scale goes to zero. We derive the modifications of the scale Ward identity due to this cutoff and show how the resulting identity then intimately relates the trace anomaly to the Wilsonian realization of the renormalization group.

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Accepted/In Press date: 26 April 2019
e-pub ahead of print date: 16 May 2019
Additional Information: Support from Leverhulme Trust and Royal Society as a Royal Society Leverhulme Trust Senior Research Fellow, and from STFC Consolidated Grant ST/P000711/1.

Identifiers

Local EPrints ID: 430943
URI: http://eprints.soton.ac.uk/id/eprint/430943
ISSN: 1550-7998
PURE UUID: 4994c9a5-b821-489f-aa97-44117ea49c36
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

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Date deposited: 17 May 2019 16:30
Last modified: 16 Mar 2024 07:50

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Contributors

Author: Tim R. Morris ORCID iD
Author: Roberto Percacci

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