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Universality and the Renormalisation Group
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Several functional renormalisation group (RG) equations including Polchinski flows and Exact RG flows are compared from a conceptual point of view and in given truncations. Similarities and differences are highlighted with special emphasis on stability properties. The main observations are worked out at the example of O(N) symmetric scalar field theories where the flows, universal critical exponents and scaling potentials are compared within a derivative expansion. To leading order, it is established that Polchinski flows and ERG flows - despite their inequivalent derivative expansions - have identical universal content, if the ERG flow is amended by an adequate optimisation. The results are also evaluated in the light of stability and minimum sensitivity considerations. Extensions to higher order and further implications are emphasized.
Forward citations
Cited by 2 Pith papers
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Fermions and the Renormalisation Group at Large N
At large N, fermionic quantum field theories have exact effective actions depending only on flavour-singlet fermion bilinears, making the local potential approximation exact and yielding new conformal fixed points.
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Critical and multicritical Lee-Yang fixed points in the local potential approximation
In the local potential approximation, the Lee-Yang fixed point of iφ^3 theory is followed to d=2 with few-percent-accurate scaling dimensions, while multicritical iφ^{2n+1} fixed points annihilate with new non-perturb...
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