- Title Pages
- Preface
- 0 Overture
- Part I The Universe as a set of harmonic oscillators
- Part II Writing down Lagrangians
- Part III The need for quantum fields
- Part IV Propagators and perturbations
- Part V Interlude: wisdom from statistical physics
- Part VI Path integrals
- 23 Path integrals: I said to him, ‘You’re crazy’
- 24 Field integrals
- 25 Statistical field theory
- 26 Broken symmetry
- 27 Coherent states
- 28 Grassmann numbers: coherent states and the path integral for fermions
- Part VII Topological ideas
- Part VIII Renormalization: taming the infinite
- Part IX Putting a spin on QFT
- Part X Some applications from the world of condensed matter
- Part XI Some applications from the world of particle physics
- A Further reading
- B Useful complex analysis
- Index

# Statistical field theory

# Statistical field theory

- Chapter:
- (p.228) 25 Statistical field theory
- Source:
- Quantum Field Theory for the Gifted Amateur
- Author(s):
### Tom Lancaster

### Stephen J. Blundell

- Publisher:
- Oxford University Press

There is a rather subtle connection between quantum field theory and statistical physics, and this is explored here, where the concepts of imaginary time and the Wick rotation are introduced.

*Keywords:*
statistical field theory, imaginary time, Wick rotation

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- Title Pages
- Preface
- 0 Overture
- Part I The Universe as a set of harmonic oscillators
- Part II Writing down Lagrangians
- Part III The need for quantum fields
- Part IV Propagators and perturbations
- Part V Interlude: wisdom from statistical physics
- Part VI Path integrals
- 23 Path integrals: I said to him, ‘You’re crazy’
- 24 Field integrals
- 25 Statistical field theory
- 26 Broken symmetry
- 27 Coherent states
- 28 Grassmann numbers: coherent states and the path integral for fermions
- Part VII Topological ideas
- Part VIII Renormalization: taming the infinite
- Part IX Putting a spin on QFT
- Part X Some applications from the world of condensed matter
- Part XI Some applications from the world of particle physics
- A Further reading
- B Useful complex analysis
- Index