On field theory methods in singular perturbation theory
(2003) In Letters in Mathematical Physics 64(2). p.171-184- Abstract
- Singular and supersingular finite rank perturbations of self-adjoint operators are studied using methods from renormalization theory for quantum fields. It is shown that the ideas from dimensional and Pauli-Villars regulatizations can be applied to determine uniquely certain finite rank supersingular perturbations. Approach is based on the regularization of homogeneous singular quadratic forms.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/300066
- author
- Kurasov, Pavel LU and Pavlov, YV
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- self-adjoint operator, quantum field theory, renormalization, perturbation, singular
- in
- Letters in Mathematical Physics
- volume
- 64
- issue
- 2
- pages
- 171 - 184
- publisher
- Springer
- external identifiers
-
- wos:000185408800007
- scopus:9744222839
- ISSN
- 0377-9017
- DOI
- 10.1023/A:1025750025624
- language
- English
- LU publication?
- yes
- id
- 3ecade2f-f65c-431b-92ca-17c1efe23227 (old id 300066)
- date added to LUP
- 2016-04-01 15:34:06
- date last changed
- 2022-04-22 08:20:05
@article{3ecade2f-f65c-431b-92ca-17c1efe23227, abstract = {{Singular and supersingular finite rank perturbations of self-adjoint operators are studied using methods from renormalization theory for quantum fields. It is shown that the ideas from dimensional and Pauli-Villars regulatizations can be applied to determine uniquely certain finite rank supersingular perturbations. Approach is based on the regularization of homogeneous singular quadratic forms.}}, author = {{Kurasov, Pavel and Pavlov, YV}}, issn = {{0377-9017}}, keywords = {{self-adjoint operator; quantum field theory; renormalization; perturbation; singular}}, language = {{eng}}, number = {{2}}, pages = {{171--184}}, publisher = {{Springer}}, series = {{Letters in Mathematical Physics}}, title = {{On field theory methods in singular perturbation theory}}, url = {{http://dx.doi.org/10.1023/A:1025750025624}}, doi = {{10.1023/A:1025750025624}}, volume = {{64}}, year = {{2003}}, }