Non-perturbative field theory from two-dimensional conformal field theory to QCD in four dimensions

Providing a new perspective on quantum field theory, this book gives a pedagogical and up-to-date exposition of non-perturbative methods in relativistic quantum field theory and introduces the reader to modern research work in theoretical physics. It describes in detail non-perturbative methods in q...

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Bibliographic Details
Main Authors: Frishman, Yitzhak, Sonnenschein, Jacob (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2010
Series:Cambridge monographs on mathematical physics
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Pt. 1. Non-perturbative methods in two-dimensional field theory
  • From massless free scalar field to conformal field
  • Conformal field theory
  • Theories invariant under affine current algebras
  • Wess-Zumino-Witten model and coset models
  • Solitons and two-dimensional integrable models
  • Bosonization
  • The large N limit of two-dimensional models
  • pt. 2. Two-dimensional non-perturbative gauge dynamics
  • Gauge theories in two dimensions: basics
  • Bosonized gauge theories
  • The 't Hooft solution on 2d QCD
  • Mesonic spectrum from current algebra
  • DLCQ and the spectra of QCD with fundamental and adjoint fermions
  • The baryonic spectrum of multiflavor QCD₂ in the strong coupling limit
  • Confinement versus screening
  • QCD₂, coset models and BRST quantization
  • Generalized Yang-Mills theory on a Riemann surface
  • pt. 3. From two to four dimensions
  • Conformal invariance in four-dimensional field theories and in QCD
  • Integrability in four-dimensional gauge dinamics
  • Large N methods in QCD₄
  • From 2d bosonized baryons to 4d Skyrmions
  • From two-dimensional solitons to four-dimensional magnetic monopoles
  • Instantons of QCD
  • Summary, conclusions and outlook