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Lectures on the Foundations of Quantum Chromodynamics

by Smilga Andrei

The theoretical foundations of QCD

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AlbakiReads Editorial

The theoretical foundations of QCD

Smilga’s lectures focus on the theoretical structure of quantum chromodynamics, with particular attention to its nonperturbative formulation. The topics range from gauge symmetry and path integrals—including their lattice definition—to the QCD vacuum, low-energy dynamics, and ITEP sum rules. The book also addresses perturbative tools and concepts, among them Feynman graphs, BRST symmetry, renormalization, and the treatment of infrared and collinear singularities. Developed from lectures for graduate students at ITEP, the volume brings these questions together in a 322-page treatment that emphasizes foundations over comprehensive coverage of phenomenological issues.

Good fit for readers who enjoy

  • Graduate students studying quantum chromodynamics or theoretical physics
  • Readers seeking a foundations-focused treatment of QCD
  • Readers interested in both nonperturbative and perturbative aspects of field theory

Themes

Quantum chromodynamicsGauge symmetry and path integralsNonperturbative field theoryPerturbation theory and renormalization

Based on publisher information and book metadata.

Book overview

Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing Nature. Lectures on Quantum Chromodynamics concentrates, however, not on the phenomenological aspect of QCD; books with comprehensive coverage of phenomenological issues have been written. What the reader will find in this book is a profound discussion on the theoretical foundations of QCD with emphasis on the nonperturbative formulation of the theory: What is gauge symmetry on the classical and on the quantum level? What is the path integral in field theory? How to define the path integral on the lattice, keeping intact as many symmetries of the continuum theory as possible? What is the QCD vacuum state? What is the effective low energy dynamics of QCD? How do the ITEP sum rules work? What happens if we heat and/or squeeze hadronic matter? Perturbative issues are also discussed: How to calculate Feynman graphs? What is the BRST symmetry? What is the meaning of the renormalization procedure? How to resum infrared and collinear singularities? And so on.The book is an outgrowth of the course of lectures given by the author for graduate students at ITEP in Moscow. Much extra material has been added.
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