Add to ORKGIt 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 ≠ 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
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
A natural geometry, arising from the embedding into a Hilbert space of the parametrised probability ...
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...
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...
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 family of connections on the space of couplings for a renormalizable field theory is defined. The ...
The renormalisation group (RG) equation in D-dimensional Euclidean space, R"D, is analysed from...
A family of connections on the space of couplings for a renormalizable field theory is defined. The ...
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
A natural geometry, arising from the embedding into a Hilbert space of the parametrised probability ...
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...
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...
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 family of connections on the space of couplings for a renormalizable field theory is defined. The ...
The renormalisation group (RG) equation in D-dimensional Euclidean space, R"D, is analysed from...
A family of connections on the space of couplings for a renormalizable field theory is defined. The ...
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
A metric is introduced on the space of parameters (couplings) describing the large N limit of the O(...
A natural geometry, arising from the embedding into a Hilbert space of the parametrised probability ...