This title appears in the Scientific Report :
2010
Please use the identifier:
http://hdl.handle.net/2128/10363 in citations.
Please use the identifier: http://dx.doi.org/10.1140/epja/i2009-10833-3 in citations.
Regularization, renormalization and 'peratization' in effective field theory for two nucleons
Regularization, renormalization and 'peratization' in effective field theory for two nucleons
We discuss conceptual aspects of renormalization in the context of effective field theories for the two-nucleon system. It is shown that, contrary to widespread belief, the renormalization scheme dependence of the scattering amplitude can only be eliminated up to the order the calculations are perfo...
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Personal Name(s): | Epelbaum, E. |
---|---|
Gegelia, J. | |
Contributing Institute: |
Theorie der starken Wechselwirkung; IKP-3 |
Published in: | The @European physical journal / A, 41 (2009) S. 341 - 354 |
Imprint: |
Berlin
Springer
2009
|
Physical Description: |
341 - 354 |
DOI: |
10.1140/epja/i2009-10833-3 |
Document Type: |
Journal Article |
Research Program: |
Physik der Hadronen und Kerne |
Series Title: |
European Physical Journal A
41 |
Subject (ZB): | |
Link: |
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Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1140/epja/i2009-10833-3 in citations.
We discuss conceptual aspects of renormalization in the context of effective field theories for the two-nucleon system. It is shown that, contrary to widespread belief, the renormalization scheme dependence of the scattering amplitude can only be eliminated up to the order the calculations are performed. We further consider an effective theory for an exactly solvable quantum mechanical model which possesses a long- and short-range interaction to simulate pionful effective field theory. We discuss the meaning of low-energy theorems in this model and demonstrate their validity in calculations with a finite cutoff Lambda as long as it is chosen of the order of the hard scale in the problem. Removing the cutoff by taking the limit Lambda -> infinity yields a finite result for the scattering amplitude but violates the low-energy theorems and is, therefore, not compatible with the effective field theory framework. |