Renormalization group patterns and C theorem in more than two-dimensions
Aug, 199129 pages
Published in:
- Nucl.Phys.B 376 (1992) 510-538
- Published: 1992
e-Print:
- hep-th/9109041 [hep-th]
Report number:
- CERN-TH-6201-91
Citations per year
Abstract: (Elsevier)
We elaborate on a previous attempt to prove the irreversibility of the renormalization group flow in more than two dimensions. This involves the construction of a monotonically decreasing c -function using a spectral representation. The missing step of the proof is a good definition of this function at the fixed points. We argue that for all kinds of perturbative flows the c -function is well defined and the c -theorem holds in any dimension. We provide examples in multicritical and multicomponent scalar theories for dimension 2 < d < 4. We also discuss the non-perturbative flows in the yet unsettled case of the O( N ) sigma model for 2 ⩽ d ⩽ 4 and large N .Note:
- 33 pages
- renormalization group: c-function
- dimension: 2
- dimension: >2
- tensor: energy-momentum
- critical phenomena
- Landau-Ginzburg model
- field theory: scalar
- sigma model: O(N)
- spectral representation
- perturbation theory: conformal
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