The two dimensional N=(2,2) Wess-Zumino model in the functional renormalization group approach
The two dimensional N=(2,2) Wess-Zumino model in the functional renormalization group approach
We study the supersymmetric N=(2,2) Wess-Zumino model in two dimensions with the functional renormalization group. At leading order in the supercovariant derivative expansion we recover the nonrenormalization theorem which states that the superpotential has no running couplings. Beyond leading order the renormalization of the bare mass is caused by a momentum dependent wave function renormalization. To deal with the partial differential equations we have developed a numerical toolbox called FlowPy. For weak couplings the quantum corrections to the bare mass found in lattice simulations is reproduced with high accuracy. But in the regime with intermediate couplings higher-order-operators that are not constrained by the nonrenormalization theorem yield the dominating contribution to the renormalized mass
085003-[12pp]
Synatschke-Czerwonka, Franziska
9df1f29e-286f-4df3-87ec-469a4003d9d1
Fischbacher, Thomas
d3282f31-0a6a-4d19-80d0-e3bebc12f67a
Bergner, Georg
98912b6a-01ff-4524-8f6c-b9bc16c89a2e
1 October 2010
Synatschke-Czerwonka, Franziska
9df1f29e-286f-4df3-87ec-469a4003d9d1
Fischbacher, Thomas
d3282f31-0a6a-4d19-80d0-e3bebc12f67a
Bergner, Georg
98912b6a-01ff-4524-8f6c-b9bc16c89a2e
Synatschke-Czerwonka, Franziska, Fischbacher, Thomas and Bergner, Georg
(2010)
The two dimensional N=(2,2) Wess-Zumino model in the functional renormalization group approach.
Physical Review D, 82 (8), .
(doi:10.1103/PhysRevD.82.085003).
Abstract
We study the supersymmetric N=(2,2) Wess-Zumino model in two dimensions with the functional renormalization group. At leading order in the supercovariant derivative expansion we recover the nonrenormalization theorem which states that the superpotential has no running couplings. Beyond leading order the renormalization of the bare mass is caused by a momentum dependent wave function renormalization. To deal with the partial differential equations we have developed a numerical toolbox called FlowPy. For weak couplings the quantum corrections to the bare mass found in lattice simulations is reproduced with high accuracy. But in the regime with intermediate couplings higher-order-operators that are not constrained by the nonrenormalization theorem yield the dominating contribution to the renormalized mass
Other
1006.1823v2
- Author's Original
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Published date: 1 October 2010
Identifiers
Local EPrints ID: 186541
URI: http://eprints.soton.ac.uk/id/eprint/186541
ISSN: 1550-7998
PURE UUID: cdaae435-0206-4821-a6dc-f91e04120112
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Date deposited: 13 May 2011 13:13
Last modified: 14 Mar 2024 03:20
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Author:
Franziska Synatschke-Czerwonka
Author:
Thomas Fischbacher
Author:
Georg Bergner
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