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15 papers · 1 filter
Homology in Abelian Lattice Models
Mark Rakowski, Siddhartha Sen
We study abelian lattice gauge theory defined on a simplicial complex with arbitrary topology. The use of dual objects allows one to reformulate the theory in terms of new dynamica…
Morse Theory and the Topology of Configuration Space
W. D. McGlinn, L. O'Raifeartaigh, S. Sen +1
The first and second homology groups are computed for configuration spaces of framed three-dimensional point particles with annihilation included, when up to two particles and an a…
Geodesic Renormalisation Group Flow
Brian P. Dolan
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 und…
Field Theory Entropy, the -theorem and the Renormalization Group
Jose Gaite, Denjoe O'Connor
We consider entropy and relative entropy in Field theory and establish relevant monotonicity properties with respect to the couplings. The relative entropy in a field theory with a…
On the Quantum Kinetic Equation in Weak Turbulence
Mark Rakowski, Siddhartha Sen
The quantum kinetic equation used in the study of weak turbulence is reconsidered in the context of a theory with a generic quartic interaction. The expectation value of the time d…
Limits on diffusive shock acceleration in dense and incompletely ionised media
L O'C Drury, P Duffy, J G Kirk
The limits imposed on diffusive shock acceleration by upstream ion-neutral Alfven wave damping, and by ionisation and Coulomb losses of low energy particles, are calculated. Analyt…