Non-Perturbative Field Theory

From Two Dimensional Conformal Field Theory to QCD in Four Dimensions

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, General Physics
Cover of the book Non-Perturbative Field Theory by Yitzhak Frishman, Jacob Sonnenschein, Cambridge University Press
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Author: Yitzhak Frishman, Jacob Sonnenschein ISBN: 9781139636469
Publisher: Cambridge University Press Publication: April 8, 2010
Imprint: Cambridge University Press Language: English
Author: Yitzhak Frishman, Jacob Sonnenschein
ISBN: 9781139636469
Publisher: Cambridge University Press
Publication: April 8, 2010
Imprint: Cambridge University Press
Language: English

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 quantum field theory, and explores two- dimensional and four- dimensional gauge dynamics using those methods. 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 (QCD) in particular, are thoroughly described.

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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 quantum field theory, and explores two- dimensional and four- dimensional gauge dynamics using those methods. 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 (QCD) in particular, are thoroughly described.

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