Fetching the paper…
Reading the bibliography…
I review some recent work where ideas and methods from Quantum Field Theory have proved useful in probability and vice versa.
R.F. Streater and A.S. Wightman, PCT, Spin and Statistics, and All That (Reading, Mass., Benjamin/Cummings Publ. Co.) 1964
1964
Earlier work this paper cites.
B. Simon, The P ( ϕ ) 2 P(\phi)_{2} - Euclidean (Quantum) Field Theory (Princeton University Press, Princeton) 1974
1974
Earlier work this paper cites.
K. Osterwalder and R. Schrader, Axioms for Euclidean Green’s functions, II, Commun. Math. Phys
1975
Earlier work this paper cites.
A.M.Polyakov, Quantum geometry of bosonic strings, Phys. Lett
1981
Earlier work this paper cites.
A.A. Belavin, A.M.Polyakov, A.B.Zamolodchikov : Infinite conformal symmetry in two-dimensional quantum field theory, Nuclear Physics B
1984
Earlier work this paper cites.
K. Wilson: The renormalization group and critical phenomena. Nobel Lecture. Rev. Mod. Phys. (1984)
1984
Earlier work this paper cites.
J. Glimm and A. Jaffe, Quantum Physics. A Functional Integral Point of View
1987
Earlier work this paper cites.
V.G.Knizhnik, A.M.Polyakov, A.B.Zamolodchikov, Fractal structure of 2D-quantum gravity, Modern Phys. Lett A
1988
Cited alongside, same era.
H.Dorn, H.-J.Otto: Two and three-point functions in Liouville theory, Nucl.Phys
1994
Cited alongside, same era.
J.Teschner, On the Liouville three point function, Phys. Letters
1995
Cited alongside, same era.
1996
Cited alongside, same era.
K.Gawedzki, Lectures on conformal field theory. In Quantum fields and strings: A course for mathematicians
1999
Cited alongside, same era.
M. Hairer: Solving the KPZ equation. Ann. Math
2013
Later among the works it cites.
M. Hairer: A theory of regularity structures. Invent. Math
2014
Later among the works it cites.
H. Spohn: Nonlinear Fluctuating Hydrodynamics for Anharmonic Chains. J. Stat. Phys
2014
Later among the works it cites.
M. Gubinelli, P. Imkeller, and N. Perkowski: Paracontrolled distributions and singular PDEs. Forum Math. Pi
2015
Later among the works it cites.
Liouville Quantum Gravity on the Riemann sphere, Communications in Mathematical Physics
2016
Closest in time.
A. Kupiainen, Renormalization group and Stochastic PDEs. Ann. Henri Poincaré
2016
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2013
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
A. Kupiainen, M. Marcozzi, Renormalization of Generalized KPZ equation, arXiv:1604.08712
Cited in the paper.
Cited in the paper.
S.Ribault, Conformal Field theory on the plane, arXiv:1406.4290
Cited in the paper.