Analogs of the c-theorem for four-dimensional renormalisable field theories

1990/10/01 by I. Jack, H. Osborn · 321 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Field (mathematics) #Gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #Thermal quantum field theory #Ultraviolet fixed point #Yukawa potential

paper · open access · doi:10.1016/0550-3213(90)90584-z

published in Nuclear Physics B 343(3), 647-688 (Elsevier BV)

openalex publication_date 1990/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Citations

• Is there a c-theorem in four dimensions?
• Quantum Fields in Curved Space

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• The conformal anomaly in bCFT from momentum space perspective
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• General scalar renormalisation group equations at three-loop order
• Quadratic Gravity
• Inverted c-functions in thermal states
• Scale invariance implies conformal invariance for the three-dimensional Ising model
• Gradient flows from an approximation to the exact renormalization group
• Limit cycles and conformal invariance
• Thermodynamics of asymptotically safe theories
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• The operator algebra at the Gaussian fixed-point
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• A holographic c-theorem for higher derivative gravity
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