1997/05/31 by J. Generowicz, Jacek Generowicz, Chris Harvey-Fros +1 · 24 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Constant (computer programming) #Cosmology and Gravitation Theories #Coupling constant #Function (biology) #Function representation #Gaussian #Geometry #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Renormalization #Renormalization group #Scalar (mathematics) #Space (punctuation) #Spacetime #Unitary state #hep-th
paper · pdf · doi:10.1016/s0370-2693(97)00729-6
published in Physics Letters B 407(1), 27-32 (Elsevier BV) · 10 pages including one eps figure, uses harvmac and epsf; several minor typos corrected --- to be published in Physics Letters B
arxiv created 1997/06/04 · openalex publication_date 1997/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Within the Local Potential Approximation to Wilson's, or Polchinski's, exact renormalization group, and for general spacetime dimension, we construct a function, c, of the coupling constants; it has the property that (for unitary theories) it decreases monotonically along flows, and is stationary only at fixed points ---where it `counts degrees of freedom', i.e. is extensive, counting one for each Gaussian scalar. Furthermore, by choosing restrictions to some sub-manifold of coupling constant space, we arrive at a very promising variational approximation method.