Renormalization Group and Fixed Points

1. Front Matter

   Pages i-ix

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2. The Concept of the Renormalization Group

   • Timothy J. Hollowood

   Pages 1-12

3. Scalar Field Theories

   • Timothy J. Hollowood

   Pages 13-24

4. RG and Perturbation Theory

   • Timothy J. Hollowood

   Pages 25-36

5. Gauge Theories and Running Couplings

   • Timothy J. Hollowood

   Pages 37-50

6. RG and Supersymmetry

   • Timothy J. Hollowood

   Pages 51-70

This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. Emphasis is placed on gaining a physical understanding of the running of the couplings. The Wilsonian version of the renormalization group is related to conventional perturbative calculations with dimensional regularization and minimal subtraction. An introduction is given to some of the remarkable renormalization group properties of supersymmetric theories.

• Fixed Points
• Particle Physics
• Quantum Field Theory
• Renormalization Group
• Supersymmetric Theories
• Wilsonian Renormalization Group

From the book reviews:

“The text is based on the lecture notes of some, apparently short-term, course and is intended for a reader who is not familiar with the subject, but has already studied such disciplines as Relativistic Quantum Mechanics and perturbation theory. … The target reader could be, for example, a particle phenomenologist who wants to communicate with colleagues from the quantum field theory side and to discuss non-perturbative aspects of the renormalization group.” (Ilya Shapiro, Mathematical Reviews, April, 2014)

• , Department of Physics, Swansea University, Swansea, United Kingdom

  Timothy J Hollowood

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