Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical PhysicsOUP Oxford, 2010 - 755 sider This book provides a thorough introduction to the fascinating world of phase transitions as well as many related topics, including random walks, combinatorial problems, quantum field theory and S-matrix. Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry, and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory. This self-contained book provides an excellent introduction to frontier topics of exactly solved models in statistical mechanics and quantum field theory, renormalization group, conformal models, quantum integrable systems, duality, elastic S-matrix, thermodynamics Bethe ansatz and form factor theory. The clear discussion of physical principles is accompanied by a detailed analysis of several branches of mathematics, distinguished for their elegance and beauty, such as infinite dimensional algebras, conformal mappings, integral equations or modular functions. Besides advanced research themes, the book also covers many basic topics in statistical mechanics, quantum field theory and theoretical physics. Each argument is discussed in great detail, paying attention to an overall coherent understanding of physical phenomena. Mathematical background is provided in supplements at the end of each chapter, when appropriate. The chapters are also followed by problems of different levels of difficulty. Advanced undergraduate and graduate students will find a rich and challenging source for improving their skills and for accomplishing a comprehensive learning of the many facets of the subject. |
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Statistical Field Theory: An Introduction to Exactly Solved Models in ... Giuseppe Mussardo Ingen forhåndsvisning - 2009 |
Almindelige termer og sætninger
algebra analytic behavior bosonic boundary conditions central charge chapter compute conformal field theory conformal theories conformal weight Consider corresponds coupling constant critical exponents critical point defined deformation denote dimensional dimensions discussed eigenvalues equation expression fermionic finite fixed point form factors formula free energy given graph hamiltonian Hence identity integral interaction invariant Ising model lagrangian magnetic field mass matrix elements minimal models obtained operator product expansion parameter particles partition function perturbative phase transition Phys poles Potts model primary fields properties quantity quantum field theory relation renormalization group representation S-matrix satisfy scalar scattering processes shown in Fig sinh ſº solution space spins statistical stress–energy tensor structure constants symmetry temperature thermodynamic Toda field theories transfer matrix transformation two-dimensional unitary values variable vector Virasoro algebra zero