This volume tackles more advanced themes often found in longer three-semester, or specialist further advanced postgraduate courses. It provides an introductory review to contemporary advanced topics in QFT, in particular, lattice field theory, topological field configurations, supersymmetry and the AdS/CFT correspondence, and it includes a systematic introduction to the functional renormalization group equation with application in noncommutative scalar field theory. Some non-perturbative methods, which allow exact solutions in lower dimensions, or due to the larger number of symmetries involved, are also discussed. This new edition also includes chapters added on noncommutative field theory and the SYK models.

Key Features:

• Reorganized, updated and extended new edition
• Four new chapters.
• Additional exercises
• Suitable for extended courses

This volume tackles more advanced themes often found in longer three-semester, or specialist further advanced postgraduate courses. It provides an introductory review to contemporary advanced topics in QFT, in particular, lattice field theory, topological field configurations, supersymmetry and the AdS/CFT correspondence, and it includes a systematic introduction to the functional renormalization group equation with application in noncommutative scalar field theory. Some non-perturbative methods, which allow exact solutions in lower dimensions, or due to the larger number of symmetries involved, are also discussed. This new edition also includes chapters added on noncommutative field theory and the SYK models.

Key Features:

• Reorganized, updated and extended new edition
• Four new chapters.
• Additional exercises
• Suitable for extended courses

This volume tackles more advanced themes often found in longer three-semester, or specialist further advanced postgraduate courses. It provides an introductory review to contemporary advanced topics in QFT, in particular, lattice field theory, topological field configurations, supersymmetry and the AdS/CFT correspondence, and it includes a systematic introduction to the functional renormalization group equation with application in noncommutative scalar field theory. Some non-perturbative methods, which allow exact solutions in lower dimensions, or due to the larger number of symmetries involved, are also discussed. This new edition also includes chapters added on noncommutative field theory and the SYK models.

Key Features:

• Reorganized, updated and extended new edition
• Four new chapters.
• Additional exercises
• Suitable for extended courses