Functional Methods in Quantum Field Theory and Statistical Physics Frontiers in Physics Series

Providing a systematic introduction to the techniques which are fundamental to quantum field theory, this book pays special attention to the use of these techniques in a wide variety of areas, including ordinary quantum mechanics, quantum mechanics in the second-quantized formulation, relativistic quantum field theory, Euclidean field theory, quantum statistics at finite temperature, and the classical statistics of nonideal gas and spin systems. The extended chapter on variational methods and functional Legendre transformations contains completely original material.

1. The Basic Formalism of Field Theory 2. Specific Systems 3. The Massless Yang-Mills Field 4. Euclidean Field Theory 5. Statistical Physics 6. Variational Methods and Functional Legendre Transformations

Professional

Vasiliev, A.N.

Providing a systematic introduction to the techniques which are fundamental to quantum field theory, this book pays special attention to the use of these techniques in a wide variety of areas, including ordinary quantum mechanics, quantum mechanics in the second-quantized formulation, relativistic quantum field theory, Euclidean field theory, quantum statistics at finite temperature, and the classical statistics of nonideal gas and spin systems. The extended chapter on variational methods and functional Legendre transformations contain completely original material.