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SUMMARY:Renormalization group flows in disordered field theories (Quantum
Spacetime Series Seminar) [vis Skype]
DTSTART;VALUE=DATE-TIME:20181022T060000Z
DTEND;VALUE=DATE-TIME:20181022T070000Z
DTSTAMP;VALUE=DATE-TIME:20181116T082223Z
UID:indico-event-6674@cern.ch
DESCRIPTION:We will analyze the renormalization group (RG) flow of field t
heories with quenched disorder\, in which the couplings vary randomly in s
pace. We analyze both classical (Euclidean) disorder and quantum disorder\
, emphasizing general properties rather than specific cases. The RG flow o
f the disorder-averaged theories takes place in the space of their couplin
g constants and also in the space of distributions for the disordered coup
lings\, and the two mix together. We write down a generalization of the Ca
llan-Symanzik equation for the flow of disorder-averaged correlation funct
ions. We find that local operators can mix with the response of the theory
to local changes in the disorder distribution\, and that the generalized
Callan-Symanzik equation mixes the disorder averages of several different
correlation functions. For classical disorder we show that this can lead t
o new types of anomalous dimensions and to logarithmic behavior at fixed p
oints. For quantum disorder we find that the RG flow always generates a re
scaling of time relative to space\, which at a fixed point generically lea
ds to Lifshitz scaling. The dynamical scaling exponent z behaves as an ano
malous dimension and we compute it at leading order in perturbation theory
in the disorder for a general theory. We also find in quantum disorder th
at local operators mix with non-local (in time) operators under the RG\, a
nd that there are critical exponents associated with the disorder distribu
tion that have not previously been discussed.\n\nhttps://indico.tifr.res.i
n/indico/conferenceDisplay.py?confId=6674
LOCATION: A304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6674
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