Statistical approach to quantum field theory an introduction - Wipf, Andreas 1954- (Springer, 2021)
Introduction.- Path Integrals in Quantum and Statistical Mechanics.- High-Dimensional Integrals.- Monte Carlo Simulations in Quantum Mechanics.- Scalar Fields at Zero and Finite Temperature.- Classical Spin Models: An Introduction.- Mean Field Approximation.- Transfer Matrices, Correlation Inequalities and Roots of Partition Functions.- High-Temperature and Low-Temperature Expansions.- Peierls Argument and Duality Transformations.- Renormalization Group on the Lattice.- Functional Renormalization Group.- Lattice Gauge Theories.- Two-Dimensional Lattice Gauge Theories and Group Integrals.- Fermions on a Lattice.- Finite Temperature Schwinger Model.- Interacting fermions.