Fully convolutional diffusion models trained on small lattices transfer to unseen larger volumes for 2D/3D phi^4 sampling across phases, matching or beating same-size training on most observables.
Lattice simulations of real-time quantum fields
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We investigate lattice simulations of scalar and nonabelian gauge fields in Minkowski space-time. For SU(2) gauge-theory expectation values of link variables in 3+1 dimensions are constructed by a stochastic process in an additional (5th) ``Langevin-time''. A sufficiently small Langevin step size and the use of a tilted real-time contour leads to converging results in general. All fixed point solutions are shown to fulfil the infinite hierarchy of Dyson-Schwinger identities, however, they are not unique without further constraints. For the nonabelian gauge theory the thermal equilibrium fixed point is only approached at intermediate Langevin-times. It becomes more stable if the complex time path is deformed towards Euclidean space-time. We analyze this behavior further using the real-time evolution of a quantum anharmonic oscillator, which is alternatively solved by diagonalizing its Hamiltonian. Without further optimization stochastic quantization can give accurate descriptions if the real-time extend of the lattice is small on the scale of the inverse temperature.
citation-role summary
background 1
citation-polarity summary
fields
hep-lat 2years
2026 2roles
background 1polarities
background 1representative citing papers
A comparison of prominent correctness criteria for complex Langevin dynamics on four simple models shows differences in applicability, ease of use, and predictive power.
citing papers explorer
-
Diffusion Models for Sampling Near Criticality in Lattice Field Theories
Fully convolutional diffusion models trained on small lattices transfer to unseen larger volumes for 2D/3D phi^4 sampling across phases, matching or beating same-size training on most observables.
-
Correctness criteria for complex Langevin
A comparison of prominent correctness criteria for complex Langevin dynamics on four simple models shows differences in applicability, ease of use, and predictive power.