Exact scheme independence at one loop
Exact scheme independence at one loop
The requirement that the quantum partition function be invariant under a renormalization group transformation results in a wide class of exact renormalization group equations, differing in the form of the kernel. Physical quantities should not be sensitive to the particular choice of the kernel. We demonstrate this scheme independence in four dimensional scalar field theory by showing that, even with a general kernel, the one-loop beta function may be expressed only in terms of the effective action vertices, and thus, under very general conditions, the universal result is recovered.
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Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Arnone, Stefano
d2a9a0a5-34fd-4205-b5f4-107208f44fb2
Gatti, Antonio
ca881118-1418-49bc-98eb-23f315d96d59
2002
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Arnone, Stefano
d2a9a0a5-34fd-4205-b5f4-107208f44fb2
Gatti, Antonio
ca881118-1418-49bc-98eb-23f315d96d59
Morris, Tim R., Arnone, Stefano and Gatti, Antonio
(2002)
Exact scheme independence at one loop.
Journal of High Energy Physics, 5, .
(doi:10.1088/1126-6708/2002/05/059).
Abstract
The requirement that the quantum partition function be invariant under a renormalization group transformation results in a wide class of exact renormalization group equations, differing in the form of the kernel. Physical quantities should not be sensitive to the particular choice of the kernel. We demonstrate this scheme independence in four dimensional scalar field theory by showing that, even with a general kernel, the one-loop beta function may be expressed only in terms of the effective action vertices, and thus, under very general conditions, the universal result is recovered.
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Published date: 2002
Organisations:
High Energy Physics
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Local EPrints ID: 28837
URI: http://eprints.soton.ac.uk/id/eprint/28837
PURE UUID: efc75cea-5353-4bc5-800c-b71f34c95461
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Date deposited: 08 May 2006
Last modified: 16 Mar 2024 02:36
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Author:
Stefano Arnone
Author:
Antonio Gatti
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