Lecture Notes in Physics

Nuclear Lattice Effective Field Theory

An Introduction

Authors: Lähde, Timo, Meißner, Ulf-G.

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  • Authored by leading researchers in the field
  • First comprehensive and tutorial description of this new computational method
  • Suitable as textbook for advanced courses or as self-study guide
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eBook 42,79 €
price for Spain (gross)
  • ISBN 978-3-030-14189-9
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Softcover 51,99 €
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About this book

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.

Reviews

“Nuclear Lattice Effective Field Theory … is a great practical advantage to the reader. … Lähde and Meißner’s helpful primer has the potential to stimulate increased efforts by serving newcomers as an essential guide to the field.” (Ruprecht Machleidt, Physics Today, Vol. 72 (10), October, 2019)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 42,79 €
price for Spain (gross)
  • ISBN 978-3-030-14189-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-030-14187-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Nuclear Lattice Effective Field Theory
Book Subtitle
An Introduction
Authors
Series Title
Lecture Notes in Physics
Series Volume
957
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-14189-9
DOI
10.1007/978-3-030-14189-9
Softcover ISBN
978-3-030-14187-5
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XI, 396
Number of Illustrations
15 b/w illustrations, 37 illustrations in colour
Topics