scholarly journals Conformal-field-theory approach to the two-impurity Kondo problem: Comparison with numerical renormalization-group results

1995 ◽  
Vol 52 (13) ◽  
pp. 9528-9546 ◽  
Author(s):  
Ian Affleck ◽  
Andreas W. W. Ludwig ◽  
Barbara A. Jones
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Conformal Field Theory ◽  
Theory Approach ◽  
Numerical Renormalization Group ◽  
Kondo Problem ◽  
Conformal Field ◽  
Problem Comparison

scholarly journals Multi-Critical Multi-Field Models: A CFT Approach to the Leading Order

Universe ◽  
2019 ◽  
Vol 5 (6) ◽  
pp. 151 ◽  
Author(s):  
Gian Paolo Vacca ◽  
Alessandro Codello ◽  
Mahmoud Safari ◽  
Omar Zanusso
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Conformal Field Theory ◽  
Leading Order ◽  
Full Agreement ◽  
Approximate Symmetries ◽  
Conformal Field ◽  
Perturbative Renormalization

We present some general results for the multi-critical multi-field models in d > 2 recently obtained using conformal field theory (CFT) and Schwinger–Dyson methods at the perturbative level without assuming any symmetry. Results in the leading non trivial order are derived consistently for several conformal data in full agreement with functional perturbative renormalization group (RG) methods. Mechanisms like emergent (possibly approximate) symmetries can be naturally investigated in this framework.

scholarly journals Effects of non-conformal boundary on entanglement entropy

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Andrew Loveridge
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Conformal Field Theory ◽  
Boundary Conditions ◽  
Mixed Boundary ◽  
Conformal Symmetry ◽  
Entanglement Entropy ◽  
Mixed Boundary Conditions ◽  
De Sitter ◽  
Conformal Field

Abstract Spacetime boundaries with canonical Neuman or Dirichlet conditions preserve conformal invarience, but “mixed” boundary conditions which interpolate linearly between them can break conformal symmetry and generate interesting Renormalization Group flows even when a theory is free, providing soluble models with nontrivial scale dependence. We compute the (Rindler) entanglement entropy for a free scalar field with mixed boundary conditions in half Minkowski space and in Anti-de Sitter space. In the latter case we also compute an additional geometric contribution, which according to a recent proposal then collectively give the 1/N corrections to the entanglement entropy of the conformal field theory dual. We obtain some perturbatively exact results in both cases which illustrate monotonic interpolation between ultraviolet and infrared fixed points. This is consistent with recent work on the irreversibility of renormalization group, allowing some assessment of the aforementioned proposal for holographic entanglement entropy and illustrating the generalization of the g-theorem for boundary conformal field theory.

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