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Nuclear Lattice Effective Field Theory - An Introduction (Paperback, 1st ed. 2019)
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Nuclear Lattice Effective Field Theory - An Introduction (Paperback, 1st ed. 2019)
Series: Lecture Notes in Physics, 957
Expected to ship within 10 - 15 working days
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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.
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