It is shown that the renormalisation group flow in coupling constant space can be interpreted in terms of a dynamical equation for the couplings analogous to viscous fluid flow under the action of a potential. For free scalar field theory the flow is geodesic in two dimensions, while for D \neq 2 it is only geodesic in certain limits, e.g. for vanishing external source. For the 1-D Ising model the renormalisation flow is geodesic when the external magnetic field vanishes
We show that if the beta functions of a field theory are given by the gradient of a certain potentia...
The “exact” or “functional” renormalization group equation describes the renormalization group flow ...
The “exact” or “functional” renormalization group equation describes the renormalization group flow ...
It is shown that the renormalisation group flow in coupling constant space can be interpreted in ter...
It is shown that the renormalisation group flow in coupling constant space can be interpreted in ter...
It is shown that the renormalisation group flow in coupling constant space can be interpreted in ter...
It is shown that the renormalisation group flow in coupling constant space can be interpreted in ter...
It is shown that the β-functions for four dimensional N=2 supersymmetric Yang–Mills theory without m...
It is argued that renormalisation group flow can be interpreted as being a Hamiltonian vector flow o...
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
It is argued that renormalisation group flow can be interpreted as being a Hamiltonian vector flow o...
A natural geometry, arising from the embedding into a Hilbert space of the parametrised probability ...
A family of connections on the space of couplings for a renormalizable field theory is defined. The ...
We define the renormalization group flow for a renormalizable interacting quantum field in curved sp...
A family of connections on the space of couplings for a renormalizable field theory is defined. The ...
We show that if the beta functions of a field theory are given by the gradient of a certain potentia...
The “exact” or “functional” renormalization group equation describes the renormalization group flow ...
The “exact” or “functional” renormalization group equation describes the renormalization group flow ...
It is shown that the renormalisation group flow in coupling constant space can be interpreted in ter...
It is shown that the renormalisation group flow in coupling constant space can be interpreted in ter...
It is shown that the renormalisation group flow in coupling constant space can be interpreted in ter...
It is shown that the renormalisation group flow in coupling constant space can be interpreted in ter...
It is shown that the β-functions for four dimensional N=2 supersymmetric Yang–Mills theory without m...
It is argued that renormalisation group flow can be interpreted as being a Hamiltonian vector flow o...
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
It is argued that renormalisation group flow can be interpreted as being a Hamiltonian vector flow o...
A natural geometry, arising from the embedding into a Hilbert space of the parametrised probability ...
A family of connections on the space of couplings for a renormalizable field theory is defined. The ...
We define the renormalization group flow for a renormalizable interacting quantum field in curved sp...
A family of connections on the space of couplings for a renormalizable field theory is defined. The ...
We show that if the beta functions of a field theory are given by the gradient of a certain potentia...
The “exact” or “functional” renormalization group equation describes the renormalization group flow ...
The “exact” or “functional” renormalization group equation describes the renormalization group flow ...