Nuclear Lattice Effective Field Theory: An Introduction

This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT. It subsequently develops the related technical aspects by addressin...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Lahde, Timo A, Meiner, Ulf-G
Format: Buch
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume 957
creator Lahde, Timo A
Meiner, Ulf-G
description This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT. It subsequently develops the related technical aspects by addressing the two-nucleon problem on the lattice and clarifying how it fixes the numerical values of the low-energy constants of chiral EFT. In turn, the spherical wall method is introduced and used to show how improved lattice actions render higher-order corrections perturbative. The book also presents Monte Carlo algorithms used in actual calculations. In the last part of the book, the Euclidean time projection method is introduced and used to compute the ground-state properties of nuclei up to the mid-mass region. In this context, the construction of appropriate trial wave functions for the Euclidean time projection is discussed, as well as methods for determining the energies of the low-lying excitations and their spatial structure. In addition, the so-called adiabatic Hamiltonian, which allows nuclear reactions to be precisely calculated, is introduced using the example of alpha-alpha scattering. In closing, the book demonstrates how Nuclear Lattice EFT can be extended to studies of unphysical values of the fundamental parameters, using the triple-alpha process as a concrete example with implications for the anthropic view of the Universe. Nuclear Lattice Effective Field Theory offers a concise, self-contained, and introductory text suitable for self-study use by graduate students and newcomers to the field of modern computational techniques for atomic nuclei and nuclear reactions.
doi_str_mv 10.1007/978-3-030-14189-9
format Book
fullrecord <record><control><sourceid>proquest_askew</sourceid><recordid>TN_cdi_askewsholts_vlebooks_9783030141899</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>EBC5923012</sourcerecordid><originalsourceid>FETCH-LOGICAL-a18772-1f484eb351b1bb4b1f344a9ac0678045496cba8f9071ac7444d07f22e06df1683</originalsourceid><addsrcrecordid>eNpdkD1PwzAQhs2nKKU_gC1iADGY3sWO7YxQtYBUwVKxWo5rt6EhKXFaxL8nbVhgOum9532kO0IuEe4QQA5TqSijwIAiR5XS9IAM2oy1yT5ID0kPBQoqmMCjf7tj0msdCVU8gVNyjggtKiXgGRmE8A4AcQxKxqJHrl82tnCmjqamaXLrorH3zjb51kWT3BXzaLZ0Vf19QU68KYIb_M4-eZuMZ6MnOn19fB7dT6lBJWVM0XPFXcYSzDDLeIaecW5SY0FIBTzhqbCZUT4FicZKzvkcpI9jB2LuUSjWJ7ed2ISV-wrLqmiC3hYuq6pV0H-ubNlhx4Z1nZcLV-uOQtC7H-5ozXTL631B7xo3XWNdV58bFxq9F1tXNrUp9PhhlKRx649b8qojrQmmyMtcf1RltajNehl0wkEpwdgP9pBx7w</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>book</recordtype><pqid>EBC5923012</pqid></control><display><type>book</type><title>Nuclear Lattice Effective Field Theory: An Introduction</title><source>Springer Books</source><creator>Lahde, Timo A ; Meiner, Ulf-G</creator><contributor>Meißner, Ulf-G</contributor><creatorcontrib>Lahde, Timo A ; Meiner, Ulf-G ; Meißner, Ulf-G</creatorcontrib><description>This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT. It subsequently develops the related technical aspects by addressing the two-nucleon problem on the lattice and clarifying how it fixes the numerical values of the low-energy constants of chiral EFT. In turn, the spherical wall method is introduced and used to show how improved lattice actions render higher-order corrections perturbative. The book also presents Monte Carlo algorithms used in actual calculations. In the last part of the book, the Euclidean time projection method is introduced and used to compute the ground-state properties of nuclei up to the mid-mass region. In this context, the construction of appropriate trial wave functions for the Euclidean time projection is discussed, as well as methods for determining the energies of the low-lying excitations and their spatial structure. In addition, the so-called adiabatic Hamiltonian, which allows nuclear reactions to be precisely calculated, is introduced using the example of alpha-alpha scattering. In closing, the book demonstrates how Nuclear Lattice EFT can be extended to studies of unphysical values of the fundamental parameters, using the triple-alpha process as a concrete example with implications for the anthropic view of the Universe. Nuclear Lattice Effective Field Theory offers a concise, self-contained, and introductory text suitable for self-study use by graduate students and newcomers to the field of modern computational techniques for atomic nuclei and nuclear reactions.</description><edition>1st ed. 2019.</edition><identifier>ISSN: 0075-8450</identifier><identifier>ISBN: 9783030141899</identifier><identifier>ISBN: 3030141896</identifier><identifier>ISBN: 9783030141875</identifier><identifier>ISBN: 303014187X</identifier><identifier>EISSN: 1616-6361</identifier><identifier>EISBN: 9783030141899</identifier><identifier>EISBN: 3030141896</identifier><identifier>DOI: 10.1007/978-3-030-14189-9</identifier><identifier>OCLC: 1101617701</identifier><language>eng</language><publisher>Cham: Springer Nature</publisher><subject>Lattice field theory ; Modern physics ; Nuclear Fusion ; Nuclear Physics, Heavy Ions, Hadrons ; Numerical and Computational Physics, Simulation ; Physics ; Physics and Astronomy</subject><creationdate>2019</creationdate><tpages>400</tpages><format>400</format><rights>Springer Nature Switzerland AG 2019</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><relation>Lecture Notes in Physics</relation></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttps://media.springernature.com/w306/springer-static/cover-hires/book/978-3-030-14189-9</thumbnail><linktohtml>$$Uhttps://link.springer.com/10.1007/978-3-030-14189-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>306,777,781,783,27906,38236,42492</link.rule.ids></links><search><contributor>Meißner, Ulf-G</contributor><creatorcontrib>Lahde, Timo A</creatorcontrib><creatorcontrib>Meiner, Ulf-G</creatorcontrib><title>Nuclear Lattice Effective Field Theory: An Introduction</title><description>This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT. It subsequently develops the related technical aspects by addressing the two-nucleon problem on the lattice and clarifying how it fixes the numerical values of the low-energy constants of chiral EFT. In turn, the spherical wall method is introduced and used to show how improved lattice actions render higher-order corrections perturbative. The book also presents Monte Carlo algorithms used in actual calculations. In the last part of the book, the Euclidean time projection method is introduced and used to compute the ground-state properties of nuclei up to the mid-mass region. In this context, the construction of appropriate trial wave functions for the Euclidean time projection is discussed, as well as methods for determining the energies of the low-lying excitations and their spatial structure. In addition, the so-called adiabatic Hamiltonian, which allows nuclear reactions to be precisely calculated, is introduced using the example of alpha-alpha scattering. In closing, the book demonstrates how Nuclear Lattice EFT can be extended to studies of unphysical values of the fundamental parameters, using the triple-alpha process as a concrete example with implications for the anthropic view of the Universe. Nuclear Lattice Effective Field Theory offers a concise, self-contained, and introductory text suitable for self-study use by graduate students and newcomers to the field of modern computational techniques for atomic nuclei and nuclear reactions.</description><subject>Lattice field theory</subject><subject>Modern physics</subject><subject>Nuclear Fusion</subject><subject>Nuclear Physics, Heavy Ions, Hadrons</subject><subject>Numerical and Computational Physics, Simulation</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><issn>0075-8450</issn><issn>1616-6361</issn><isbn>9783030141899</isbn><isbn>3030141896</isbn><isbn>9783030141875</isbn><isbn>303014187X</isbn><isbn>9783030141899</isbn><isbn>3030141896</isbn><fulltext>true</fulltext><rsrctype>book</rsrctype><creationdate>2019</creationdate><recordtype>book</recordtype><sourceid>I4C</sourceid><recordid>eNpdkD1PwzAQhs2nKKU_gC1iADGY3sWO7YxQtYBUwVKxWo5rt6EhKXFaxL8nbVhgOum9532kO0IuEe4QQA5TqSijwIAiR5XS9IAM2oy1yT5ID0kPBQoqmMCjf7tj0msdCVU8gVNyjggtKiXgGRmE8A4AcQxKxqJHrl82tnCmjqamaXLrorH3zjb51kWT3BXzaLZ0Vf19QU68KYIb_M4-eZuMZ6MnOn19fB7dT6lBJWVM0XPFXcYSzDDLeIaecW5SY0FIBTzhqbCZUT4FicZKzvkcpI9jB2LuUSjWJ7ed2ISV-wrLqmiC3hYuq6pV0H-ubNlhx4Z1nZcLV-uOQtC7H-5ozXTL631B7xo3XWNdV58bFxq9F1tXNrUp9PhhlKRx649b8qojrQmmyMtcf1RltajNehl0wkEpwdgP9pBx7w</recordid><startdate>2019</startdate><enddate>2019</enddate><creator>Lahde, Timo A</creator><creator>Meiner, Ulf-G</creator><general>Springer Nature</general><general>Springer International Publishing AG</general><general>Springer International Publishing</general><general>Springer</general><scope>I4C</scope></search><sort><creationdate>2019</creationdate><title>Nuclear Lattice Effective Field Theory</title><author>Lahde, Timo A ; Meiner, Ulf-G</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a18772-1f484eb351b1bb4b1f344a9ac0678045496cba8f9071ac7444d07f22e06df1683</frbrgroupid><rsrctype>books</rsrctype><prefilter>books</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Lattice field theory</topic><topic>Modern physics</topic><topic>Nuclear Fusion</topic><topic>Nuclear Physics, Heavy Ions, Hadrons</topic><topic>Numerical and Computational Physics, Simulation</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><toplevel>online_resources</toplevel><creatorcontrib>Lahde, Timo A</creatorcontrib><creatorcontrib>Meiner, Ulf-G</creatorcontrib><collection>Casalini Torrossa eBook Single Purchase</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lahde, Timo A</au><au>Meiner, Ulf-G</au><au>Meißner, Ulf-G</au><format>book</format><genre>book</genre><ristype>BOOK</ristype><btitle>Nuclear Lattice Effective Field Theory: An Introduction</btitle><seriestitle>Lecture Notes in Physics</seriestitle><date>2019</date><risdate>2019</risdate><volume>957</volume><issn>0075-8450</issn><eissn>1616-6361</eissn><isbn>9783030141899</isbn><isbn>3030141896</isbn><isbn>9783030141875</isbn><isbn>303014187X</isbn><eisbn>9783030141899</eisbn><eisbn>3030141896</eisbn><abstract>This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT. It subsequently develops the related technical aspects by addressing the two-nucleon problem on the lattice and clarifying how it fixes the numerical values of the low-energy constants of chiral EFT. In turn, the spherical wall method is introduced and used to show how improved lattice actions render higher-order corrections perturbative. The book also presents Monte Carlo algorithms used in actual calculations. In the last part of the book, the Euclidean time projection method is introduced and used to compute the ground-state properties of nuclei up to the mid-mass region. In this context, the construction of appropriate trial wave functions for the Euclidean time projection is discussed, as well as methods for determining the energies of the low-lying excitations and their spatial structure. In addition, the so-called adiabatic Hamiltonian, which allows nuclear reactions to be precisely calculated, is introduced using the example of alpha-alpha scattering. In closing, the book demonstrates how Nuclear Lattice EFT can be extended to studies of unphysical values of the fundamental parameters, using the triple-alpha process as a concrete example with implications for the anthropic view of the Universe. Nuclear Lattice Effective Field Theory offers a concise, self-contained, and introductory text suitable for self-study use by graduate students and newcomers to the field of modern computational techniques for atomic nuclei and nuclear reactions.</abstract><cop>Cham</cop><pub>Springer Nature</pub><doi>10.1007/978-3-030-14189-9</doi><oclcid>1101617701</oclcid><tpages>400</tpages><edition>1st ed. 2019.</edition></addata></record>
fulltext fulltext
identifier ISSN: 0075-8450
ispartof
issn 0075-8450
1616-6361
language eng
recordid cdi_askewsholts_vlebooks_9783030141899
source Springer Books
subjects Lattice field theory
Modern physics
Nuclear Fusion
Nuclear Physics, Heavy Ions, Hadrons
Numerical and Computational Physics, Simulation
Physics
Physics and Astronomy
title Nuclear Lattice Effective Field Theory: An Introduction
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-18T09%3A50%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_askew&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=book&rft.btitle=Nuclear%20Lattice%20Effective%20Field%20Theory:%20An%20Introduction&rft.au=Lahde,%20Timo%20A&rft.date=2019&rft.volume=957&rft.issn=0075-8450&rft.eissn=1616-6361&rft.isbn=9783030141899&rft.isbn_list=3030141896&rft.isbn_list=9783030141875&rft.isbn_list=303014187X&rft_id=info:doi/10.1007/978-3-030-14189-9&rft_dat=%3Cproquest_askew%3EEBC5923012%3C/proquest_askew%3E%3Curl%3E%3C/url%3E&rft.eisbn=9783030141899&rft.eisbn_list=3030141896&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=EBC5923012&rft_id=info:pmid/&rfr_iscdi=true