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Michael Creutz

Quarks, Gluons and Lattices

Quarks, Gluons and Lattices

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  • More about Quarks, Gluons and Lattices

The lattice approach to quantum field theory is introduced, which has had significant successes in confining quarks within subnuclear matter. It provides a framework for quantitative calculation and has led to cross-disciplinary activity between elementary particle and solid state physicists. The treatment covers lattice definition, path integral, Monte Carlo simulation, invariant group integration, duality, mean field theory, and renormalization group techniques.

Format: Paperback / softback
Length: 176 pages
Publication date: 16 February 2023
Publisher: Cambridge University Press


This book presents a comprehensive introduction to the lattice approach in quantum field theory, a powerful method that has achieved remarkable successes in understanding the behavior of subnuclear matter. Through the lattice framework, scientists have compelling evidence that gauge gluons play a crucial role in confining quarks within atomic nuclei. This approach has sparked significant interdisciplinary collaboration between elementary particle and solid state physicists, leading to innovative quantitative calculation schemes.

The treatment begins with a foundational exploration of the lattice definition of a path integral, a key concept in quantum field theory. It then proceeds to cover various advanced topics, including invariant group integration, duality, mean field theory, and renormalization group techniques. Throughout the book, the reader is assumed to have a solid grasp of relativistic quantum mechanics and a basic understanding of gauge theories.

By employing the lattice approach, scientists have been able to make precise predictions about the properties of subnuclear matter and other complex systems. This technique has opened up new avenues for research and has contributed to our understanding of the fundamental laws of nature. The lattice framework's versatility and efficiency make it a valuable tool in modern physics, and its continued development and application will undoubtedly lead to further breakthroughs in our understanding of the universe.


ISBN-13: 9781009290371

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