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Tuesday, 1 November 2011, 14:00 in P8445B
Prof. Andrei Frolov (SFU)
Critical collapse and solitons in classical conformal field theory
I will talk about the fate of a localized wavepacket in a classical conformal field theory with attractive interaction V(φ) = -¼ λ φ⁴. As potential is unbounded from below, homogeneous field collapses to singularity in finite time. However, finite size wavepacket can disperse before it collapses. Competition between the two outcomes results in a critical behavior, much like the one seen in gravitational collapse. I calculate the critical exponents, and show that there are static regular soliton-like solutions in the theory.
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Modified by Andrei Frolov <frolov@sfu.ca> on 2023-11-01