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  3. Introduction to Quantum Fields on a Lattice
  • Cited by 104
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      September 2002
      ISBN:
      9780511583971
      DOI:
      https://doi.org/10.1017/CBO9780511583971
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      • Subjects:
      Particle Physics and Nuclear Physics, Physics and Astronomy, Theoretical Physics and Mathematical Physics
      Series:
      Cambridge Lecture Notes in Physics (15)
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    Subjects:
    Particle Physics and Nuclear Physics, Physics and Astronomy, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Lecture Notes in Physics (15)
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    Book description

    This book provides a concrete introduction to quantum fields on a lattice: a precise and non-perturbative definition of quantum field theory obtained by replacing continuous space-time by a discrete set of points on a lattice. The path integral on the lattice is explained in concrete examples using weak and strong coupling expansions. Fundamental concepts such as 'triviality' of Higgs fields and confinement of quarks and gluons into hadrons are described and illustrated with the results of numerical simulations. The book also provides an introduction to chiral symmetry and chiral gauge theory, as well as quantized non-abelian gauge fields, scaling and universality. Based on the lecture notes of a course given by the author, this book contains many explanatory examples and exercises, and is suitable as a textbook for advanced undergraduate and graduate courses.

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