Introduction to Statistical Field Theory

Knowledge Of The Renormalization Group And Field Theory Is A Key Part Of Physics, And Is Essential In Condensed Matter And Particle Physics. Written For Advanced Undergraduate And Beginning Graduate Students, This Textbook Provides A Concise Introduction To This Subject. The Textbook Deals Directly With The Loop-expansion Of The Free-energy, Also Known As The Background Field Method. This Is A Powerful Method, Especially When Dealing With Symmetries, And Statistical Mechanics. In Focussing On Free-energy, The Author Avoids Long Developments On Field Theory Techniques. The Necessity Of Renormalization Then Follows-- Machine Generated Contents Note: 1. A Few Well-known Basic Results; 2. Introduction: Order Parameters, Broken Symmetries; 3. Examples Of Physical Situations Modelled By The Ising Model; 4. A Few Results About The Ising Model; 5. High Temperature And Low Temperature Expansions; 6. Some Geometric Problems Related To Phase Transitions; 7. Phenomenological Description Of The Critical Behaviour; 8. Mean Field Theory; 9. Beyond Mean Field Theory; 10. Introduction To The Renormalization Group; 11. Renormalization Group For The [phi]4 Theory; 12. Renormalized Theory; 13. Goldstone Modes; 14. Large N; Index. Edouard Brézin. Includes Index. "Knowledge of the renormalization group and field theory is a key part of physics, and is essential in condensed matter and particle physics. Written for advanced undergraduate and beginning graduate students, this textbook provides a concise introduction to this subject. The textbook deals directly with the loop-expansion of the free-energy, also known as the background field method. This is a powerful method, especially when dealing with symmetries, and statistical mechanics. In focussing on free-energy, the author avoids long developments on field theory techniques. The necessity of renormalization then follows"-- Provided by publisher "Knowledge of the renormalization group and field theory is a key part of physics, and is essential in condensed matter and particle physics. Written for advanced undergraduate and beginning graduate students, this textbook provides a concise introduction to this subject. The textbook deals directly with the loop-expansion of the free-energy, also known as the background field method. This is a powerful method, especially when dealing with symmetries, and statistical mechanics. In focussing on free-energy, the author avoids long developments on field theory techniques. The necessity of renormalization then follows"--Résumé de l'éditeur "Knowledge of the renormalization group and field theory is a key part of physics, and is essential in condensed matter and particle physics. Written for advanced undergraduate and beginning graduate students, this textbook provides a concise introduction to this subject. The textbook deals directly with the loop-expansion of the free-energy, also known as the background field method. This is a powerful method, especially when dealing with symmetries, and statistical mechanics. In focussing on free-energy, the author avoids long developments on field theory techniques. The necessity of renormalization then follows"-- Résumé de l'éditeur Knowledge of the renormalization group and field theory is a key part of physics, and is essential in condensed matter and particle physics. Written for advanced undergraduate and beginning graduate students, this textbook provides a concise introduction to this subject. The textbook deals directly with the loop expansion of the free energy, also known as the background field method. This is a powerful method, especially when dealing with symmetries, and statistical mechanics. In focussing on free energy, the author avoids long developments on field theory techniques. The necessity of renormalization then follows.