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...

Full description

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
LEADER 03226nmm a2200289 u 4500
001 EB001383061
003 EBX01000000000000000906026
005 00000000000000.0
007 cr|||||||||||||||||||||
008 170324 ||| eng
020 |a 9780511770838 
050 4 |a QC793.3.F5 
100 1 |a Frishman, Yitzhak 
245 0 0 |a Non-perturbative field theory  |b from two-dimensional conformal field theory to QCD in four dimensions  |c Yitzhak Frishman, Jacob Sonnenschein 
260 |a Cambridge  |b Cambridge University Press  |c 2010 
300 |a xvii, 436 pages  |b digital 
505 0 |a 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 
653 |a Field theory (Physics) 
653 |a Perturbation (Quantum dynamics) 
700 1 |a Sonnenschein, Jacob  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b CBO  |a Cambridge Books Online 
490 0 |a Cambridge monographs on mathematical physics 
028 5 0 |a 10.1017/CBO9780511770838 
856 4 0 |u https://doi.org/10.1017/CBO9780511770838  |x Verlag  |3 Volltext 
082 0 |a 530.143 
520 |a 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