# Nuclear Lattice Effective Field Theory

## An Introduction

Part of the Lecture Notes in Physics book series (LNP, volume 957)

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Part of the Lecture Notes in Physics book series (LNP, volume 957)

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.

Auxiliary Field Quantum Monte Carlo Method Chiral Effective Field Theory Computational Methods for Few-body Systems Euclidean Spacetime Lattices Euclidean Time Projection Method Few-nucleon Systems on the Lattice Nuclear Lattice EFT Nuclear Physics on the Lattice Nucleon-nucleon Scattering Triple-alpha Process and Production of Carbon in the Universe

- DOI https://doi.org/10.1007/978-3-030-14189-9
- Copyright Information Springer Nature Switzerland AG 2019
- Publisher Name Springer, Cham
- eBook Packages Physics and Astronomy
- Print ISBN 978-3-030-14187-5
- Online ISBN 978-3-030-14189-9
- Series Print ISSN 0075-8450
- Series Online ISSN 1616-6361
- Buy this book on publisher's site

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