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Non-Perturbative Field Theory
Yitzhak Frishman and Jacob Sonnenschein
2010
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Providing a new perspective on quantum field theory, this book gives a pedagogical exposition of non-perturbative methods in relativistic quantum field theory and introduces the reader to modern research in theoretical physics. After describing non-perturbative methods in detail, it uses these methods to explore two-dimensional and four-dimensional gauge dynamics. The book concludes with a summary emphasizing the interplay between two- and four-dimensional gauge theories. Aimed at graduate students and researchers, this book covers topics from two-dimensional conformal symmetry, affine Lie algebras, solitons, integrable models, bosonization, and 't Hooft model, to four-dimensional conformal invariance, integrability, large N expansion, Skyrme model, monopoles and instantons. Applications, first to simple field theories and gauge dynamics in two dimensions, and then to gauge theories in four dimensions and quantum chromodynamics in particular, are thoroughly described.
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Keywords
- 2D field theory
- 2D integrable models
- 2D non-perturbative gauge dynamics
- 4D gauge dynamics
- affine current algebras
- baryonic spectrum
- bosonization
- bosonized gauge theories
- confinement
- conformal field theory
- conformal invariance in 4D field theories
- Coset model
- coset models and BRST quantization
- generalized Yang Mills theory
- instantons of QCD
- invariant
- large N limit of 2D models
- large N methods in QCD4
- magnetic monopoles
- massless free scalar field
- Mathematics & science
- mesonic spectrum
- multiflavour QCD2
- non-perturbative methods
- Nuclear physics
- Physics
- screening
- skyrmions
- Solitons
- strong coupling limit
- t'Hooft solution
- Wess-Zumino-Witten model
Links
DOI: 10.1017/9781009401654Editions