Titlebook: Statistical Approach to Quantum Field Theory; An Introduction Andreas Wipf Book 20131st edition Springer-Verlag Berlin Heidelberg 2013 Base

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Mean Field Approximation,paces. On the way we introduce the critical exponents and calculate their mean field values. The mean field approximations for the Ising model, standard Potts models, clock models, lattice scalar models, non-linear .(.) models and antiferromagnetic systems are derived. The phenomenological Landau theory for phase transitions is outlined as well.

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Book 20131st edition based on the use of path integrals. The interpretation of Euclidean field theories as particular systems of statistical physics has opened up new avenues for understanding strongly coupled quantum systems or quantum field theories at zero or finite temperatures.  . .Accordingly, the first chapters

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Introduction,the Dreimännerarbeit back in 1925 we sketch the development of gauge theories and their role in elementary particle physics. Finally we comment on the fruitful interrelation between quantum field theory and classical statistical physics.

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Path Integrals in Quantum and Statistical Mechanics,al method allows for a uniform treatment of quantum mechanics, statistical mechanics and quantum field theory and can be regarded as a basic tool in modern theoretical physics. We introduce and discuss the path integral for quantum mechanics and quantum statistics. Thereby the time-evolution kernel,