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We introduce a model of effective conformal quantum field theory in dimension $d=1+1$ coupled to stochastic noise, where Kardar-Parisi-Zhang (KPZ) class fluctuations can be observed.
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G. Barraquand and M. Rychnovsky, Large Deviations For Sticky Brownian Motions, arXiv:1905.10280
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H. Spohn, The 1+1 dimensional Kardar-Parisi-Zhang equation: more surprises, arXiv:1909.09403
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A. Borodin, V. Gorin, M. Wheeler, Shift-invariance for vertex models and polymers, arXiv:1912.02957
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K. Gawedzki and P. Horvai, Sticky behavior of fluid particles in the compressible Kraichnan model, J. Stat. Phys. 116 (2004), no. 5-6, 1247-1300
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P. Calabrese, J. Cardy, Time-dependence of correlation functions following a quantum quench, arXiv:cond-mat/0601225, Phys.Rev.Lett. 96 (2006) 136801
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A. Nahum, J. Ruhman, S. Vijay, and J. Haah, Quantum entanglement growth under random unitary dynamics, Phys. Rev. X 7, 031016 (2017)
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F. Rassoul-Agha and T. Seppalainen. Almost sure functional central limit theorem for ballistic random walk in random environment. Ann. Inst. Henri Poincaré Probab. Stat, 45, 373-420, (2009). M. Balazs, F. Rassoul-Agha, T. Seppalainen, The random average process and random walk in a space- time random environment in one dimension, Commun. Math. Phys. 266, 499, (2006)
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T. Kriecherbauer and J. Krug, J. Phys. A: Math. Theor. 43, 403001 (2010)
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P. Calabrese and P. Le Doussal, An exact solution for the KPZ equation with flat initial conditions Phys. Rev. Lett. 106
2011
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