Variational structure of Luttinger–Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory
Abstract
Significance Many-body perturbation theory is one of the pillars of quantum many-body physics and has been used extensively to predict ground-state and excited-state electronic properties of real materials in the past few decades. Nonetheless, few practically used methods in many-body perturbation theory have been justified on a rigorous basis. We present a variational formalism that can be used for the rigorous study of a number of many-body perturbation methods in Euclidean lattice field theory. In particular, this perspective allows us to justify the widely used bold Feynman diagrammatic expansion, without relying on formal arguments such as partial resummation of Feynman diagrams to infinite order.
- Authors:
-
- Department of Mathematics, University of California, Berkeley, CA 94720,, Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720
- Department of Mathematics, University of California, Berkeley, CA 94720,
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1421895
- Alternate Identifier(s):
- OSTI ID: 1485086
- Grant/Contract Number:
- SC0017867; AC02-05CH11231
- Resource Type:
- Journal Article: Published Article
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 115 Journal Issue: 10; Journal ID: ISSN 0027-8424
- Publisher:
- Proceedings of the National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING
Citation Formats
Lin, Lin, and Lindsey, Michael. Variational structure of Luttinger–Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory. United States: N. p., 2018.
Web. doi:10.1073/pnas.1720782115.
Lin, Lin, & Lindsey, Michael. Variational structure of Luttinger–Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory. United States. https://doi.org/10.1073/pnas.1720782115
Lin, Lin, and Lindsey, Michael. 2018.
"Variational structure of Luttinger–Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory". United States. https://doi.org/10.1073/pnas.1720782115.
@article{osti_1421895,
title = {Variational structure of Luttinger–Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory},
author = {Lin, Lin and Lindsey, Michael},
abstractNote = {Significance Many-body perturbation theory is one of the pillars of quantum many-body physics and has been used extensively to predict ground-state and excited-state electronic properties of real materials in the past few decades. Nonetheless, few practically used methods in many-body perturbation theory have been justified on a rigorous basis. We present a variational formalism that can be used for the rigorous study of a number of many-body perturbation methods in Euclidean lattice field theory. In particular, this perspective allows us to justify the widely used bold Feynman diagrammatic expansion, without relying on formal arguments such as partial resummation of Feynman diagrams to infinite order.},
doi = {10.1073/pnas.1720782115},
url = {https://www.osti.gov/biblio/1421895},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
issn = {0027-8424},
number = 10,
volume = 115,
place = {United States},
year = {Tue Feb 20 00:00:00 EST 2018},
month = {Tue Feb 20 00:00:00 EST 2018}
}
Web of Science
Figures / Tables:
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