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We consider space-time quantum fields with exponential/trigonometric interactions.
J. Dubédat and H. Shen: Stochastic Ricci flow on compact surfaces
1904
Earlier work this paper cites.
1906
Earlier work this paper cites.
1907
Earlier work this paper cites.
T. Oh, T. Robert and Y. Wang: On the parabolic and hyperbolic Liouville equations
1908
Earlier work this paper cites.
G. Da Prato and A. Debussche: Strong solutions to the stochastic quantization equations
1916
Earlier work this paper cites.
A. Zygmund: Trigonometric Series, Vol. II. Cambridge University Press, 1959
1959
Earlier work this paper cites.
N. Aronszajn and K. Smith: Theory of Bessel Potentials. I
1961
Earlier work this paper cites.
R. Høegh-Krohn: A general class of quantum fields without cut-offs in two space-time dimensions
1971
Earlier work this paper cites.
S. Albeverio and R. Høegh-Krohn: Uniqueness of the physical vacuum and the Wightman functions in the infinite volume limit for some non-polynomial interactions
1973
Earlier work this paper cites.
S. Albeverio and R. Høegh-Krohn: The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time
1974
Earlier work this paper cites.
C. Deutsch and M. Lavaud: Equilibrium properties of a two-dimensional Coulomb gas
1974
Earlier work this paper cites.
B. Simon: The P ( ϕ ) 2 P(\phi)_{2} Euclidean (Quantum) Field Theory, Princeton Series in Physics, Princeton University Press, Princeton, N.J., 1974
1974
Earlier work this paper cites.
R. Figari, R. Høegh-Krohn, C. Nappi: Interacting relativistic boson fields in the de Sitter universe with two space-time dimensions
1975
Earlier work this paper cites.
F. Guerra, L. Rosen and B. Simon, B: The P ( ϕ ) 2 P(\phi)_{2} Euclidean quantum field theory as classical statistical mechanics
1975
Earlier work this paper cites.
J. Fröhlich: Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems
1976
Earlier work this paper cites.
J. Fröhlich: Quantum sine-Gordon equation and quantum solitons in two space-time dimensions
1976
Earlier work this paper cites.
J. Fröhlich and E. Seiler: The massive Thirring-Schwinger model (QED2): convergence of perturbation theory and particle structure
1976
Earlier work this paper cites.
F. Guerra, L. Rosen and B. Simon: Boundary conditions for the P ( ϕ ) 2 P(\phi)_{2} Euclidean field theory
1976
Earlier work this paper cites.
J. Fröhlich and Y.M. Park: Remarks on exponential interactions and the quantum sine-Gordon equation in two space-time dimensions
1977
Earlier work this paper cites.
M. Reed and B. Simon: Methods of Modern Mathematical Physics, Vol. II, IV. New York: Academic Press, 1975, 1978
1978
Earlier work this paper cites.
S. Albeverio, G. Gallavotti and R. Høegh-Krohn: Some results for the exponential interaction in two or more dimensions
1979
Earlier work this paper cites.
S. Albeverio and R. Høegh-Krohn: Uniqueness of the global Markov property for Euclidean fields. The case of trigonometric interactions
1979
Earlier work this paper cites.
S. Albeverio and R. Høegh-Krohn: Martingale convergence and the exponential interaction in ℝ n \mathbb{R}^{n}
1980
Earlier work this paper cites.
S. Albeverio, R. Høegh-Krohn and D. Testard: Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group
1981
Earlier work this paper cites.
G. Parisi and Y.S. Wu: Perturbation theory without gauge fixing
1981
Earlier work this paper cites.
G. Benfatto, G. Gallavotti and F. Nicoló: On the massive sine-Gordon equation in the first few regions of collapse
1982
Earlier work this paper cites.
G. Jona-Lasinio and P.K. Mitter: On the stochastic quantization of field theory
1985
Earlier work this paper cites.
J.-P. Kahane: Sur le chaos multiplicatif
1985
Earlier work this paper cites.
S. Albeverio, R. Høegh-Krohn, J.E. Fenstad and T. Lindstrøm: Nonstandard Methods in Stochastic Analysis and Mathematical Physics, Pure and Applied Mathematics 122
1986
Earlier work this paper cites.
J. Glimm and A. Jaffe: Quantum Physics: A Functional Integral Point of View, Springer, 1986
1986
Cited alongside, same era.
K. Iwata: An infinite dimensional stochastic differential equation with state space C ( 𝐑 ) C({\bf R})
1987
Cited alongside, same era.
V.S. Borkar, R.T. Chari and S.K. Mitter: Stochastic quantization of field theory in finite and infinite volumes
1988
Cited alongside, same era.
S. Albeverio, T. Hida, J. Potthoff, M. Röckner and L. Streit: Dirichlet forms in terms of white noise analysis. I. Construction and QFT examples
1989
Cited alongside, same era.
S. Albeverio, T. Hida, J. Potthoff, M. Röckner and L. Streit: Dirichlet forms in terms of white noise analysis. II. Closability and diffusion processes
1989
Cited alongside, same era.
H. Kawabi and M. Röckner: Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach
2007
Later among the works it cites.
S. Albeverio, F. Flandoli and Y. Sinai: SPDE in Hydrodynamic: Recent Progress and Prospects. Lecture Notes in Mathematics, 1942
2008
Later among the works it cites.
S. Albeverio, Y. Kondratiev, Y. Kozitsky and M. Röckner: Statistical Mechanics of Quantum Lattice Systems: A Path Integral Approach, EMS Tracts in Mathematics 8
2009
Later among the works it cites.
J. Dimock: Quantum Mechanics and Quantum Field Theory. A Mathematical Primer, Cambridge University Press, Cambridge, 2011
2011
Later among the works it cites.
B. Duplantier and S. Sheffield: Liouville quantum gravity and KPZ
2011
Later among the works it cites.
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S. Albeverio and M. Röckner: Classical Dirichlet forms on topological vector spaces – the construction of the associated diffusion process
1989
Cited alongside, same era.
S. Albeverio and M. Röckner: Classical Dirichlet forms on topological vector spaces – closability and a Cameron-Martin formula
1990
Cited alongside, same era.
S. Albeverio and M. Röckner: Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
1991
Cited alongside, same era.
S. Kusuoka: Høegh-Krohn’s model of quantum fields and the absolute continuity of measures
1992
Cited alongside, same era.
Z.-M. Ma and M. Röckner: Introduction to the Theory of (Non-Symmetric) Dirichlet Forms, Springer-Verlag, Berlin-Heidelberg-New York, 1992
1992
Cited alongside, same era.
M. Röckner and T.S. Zhang: On uniqueness of generalized Schrödinger operators and applications
1992
Cited alongside, same era.
S. Albeverio, R. Høegh-Krohn, J. Marion, D. Testard and B. Torrésani: Noncommutative Distributions, Monographs and Textbooks in Pure and Applied Mathematics 175
1993
Cited alongside, same era.
S. Albeverio, H. Kawabi and M. Röckner: Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions
2012
Later among the works it cites.
F. Weisz: Summability of multi-dimensional trigonometric Fourier series
2012
Later among the works it cites.
H. Gottschalk and H. Thaler: A triviality result in the AdS/CFT correspondence for Euclidean quantum fields with exponential interaction
2013
Later among the works it cites.
M. Hairer: A theory of regularity structures
2014
Later among the works it cites.
R. Rhodes and V. Vargas: Gaussian multiplicative chaos and applications: A review
2014
Later among the works it cites.
S. Albeverio, Z.-M. Ma and M. Röckner: Quasi regular Dirichlet forms and the stochastic quantization problem
2015
Later among the works it cites.
M. Gubinelli, P. Imkeller and N. Perkowski: Paracontrolled distributions and singular PDEs
2015
Later among the works it cites.
S. Albeverio: Along paths inspired by Ludwig Streit: stochastic equations for quantum fields and related systems
2016
Later among the works it cites.
S. Albeverio, B. Driver, M. Gordina and A.M. Vershik: Equivalence of the Brownian and energy representations
2016
Later among the works it cites.
S. Andres and N. Kajino: Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions
2016
Later among the works it cites.
M. Hairer and H. Shen: The dynamical Sine-Gordon model
2016
Later among the works it cites.
S. Summers: A perspective on constructive quantum field theory
2016
Later among the works it cites.
N. Berestycki: An elementary approach to Gaussian multiplicative chaos
2017
Later among the works it cites.
J.-C. Mourrat and H. Weber: Global well-posedness of the dynamic Φ 4 \Phi^{4} model in the plane
2017
Later among the works it cites.
M. Röckner, R. Zhu and X. Zhu: Restricted Markov uniqueness for the stochastic quantization of P ( Φ ) 2 P(\Phi)_{2} and its applications
2017
Later among the works it cites.
M. Röckner, R. Zhu and X. Zhu: Ergodicity for the stochastic quantization problems on the 2 2 D-torus
2017
Later among the works it cites.
S. Albeverio, F.C. De Vecchi and M. Gubinelli: Elliptic stochastic quantization
2018
Later among the works it cites.
R. Catellier and K. Chouk: Paracontrolled distributions and the 3-dimensional stochastic quantization equation
2018
Later among the works it cites.
A. Chandra, M. Hairer and H. Shen: The dynamical sine-Gordon model in the full subcritical regime
2018
Later among the works it cites.
S. Albeverio and M.W. Yoshida: A formulation of quasi-regular non-local Dirichlet forms on Fréchet spaces with application to a stochastic quantization of Φ 3 4 \Phi^{4}_{3} field
2019
Later among the works it cites.
M. Gubinelli and M. Hofmanová: Global solutions to elliptic and parabolic Φ 4 \Phi^{4} models in Euclidean space
2019
Later among the works it cites.
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2020
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