• Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles 

      Mou, Zonggang; Saffin, Paul M.; Tranberg, Anders (Peer reviewed; Journal article, 2019-11)
      We follow up the work, where in light of the Picard-Lefschetz thimble approach, we split up the real-time path integral into two parts: the initial density matrix part which can be represented via an ensemble of initial ...
    • Real-time quantum dynamics, path integrals and the method of thimbles 

      Mou, Zonggang; Saffin, Paul M.; Tranberg, Anders; Woodward, Simon (Peer reviewed; Journal article, 2019)
      Direct numerical evaluation of the real-time path integral has a well-known sign problem that makes convergence exponentially slow. One promising remedy is to use Picard-Lefschetz theory to flow the domain of the field ...
    • Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks 

      Karpie, Joseph; Orginos, Kostas; Rothkopf, Alexander Karl; Zafeiropoulos, Savvas (Peer reviewed; Journal article, 2019)
      The computation of the parton distribution functions (PDF) or distribution amplitudes (DA) of hadrons from first principles lattice QCD constitutes a central open problem. In this study, we present and evaluate the efficiency ...
    • Simulations of a bubble wall interacting with an electroweak plasma 

      Mou, Zong-Gang; Saffin, Paul M.; Tranberg, Anders (Peer reviewed; Journal article, 2021-02)
      We perform large-scale real-time simulations of a bubble wall sweeping through an out-of-equilibrium plasma. The scenario we have in mind is the electroweak phase transition, which may be first order in extensions of the ...
    • Stable solvers for real-time Complex Langevin 

      Alvestad, Daniel; Larsen, Rasmus Normann; Rothkopf, Alexander Karl (Peer reviewed; Journal article, 2021-08)
      This study explores the potential of modern implicit solvers for stochastic partial differential equations in the simulation of real-time complex Langevin dynamics. Not only do these methods offer asymptotic stability, ...
    • Statistics on Lefschetz thimbles: Bell/Leggett-Garg inequalities and the classical-statistical approximation 

      Tranberg, Anders; Millington, P; Mou, Zonggang; Saffin, Paul M. (Peer reviewed; Journal article, 2021)
      Inspired by Lefschetz thimble theory, we treat Quantum Field Theory as a statistical theory with a complex Probability Distribution Function (PDF). Such complex-valued PDFs permit the violation of Bell-type inequalities, ...
    • Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude 

      Andersen, Jens Oluf; Tranberg, Anders; Eriksson, Magdalena Britt (Peer reviewed; Journal article, 2022-02)
      The non-linear dynamics of long-wavelength cosmological fluctuations may be phrased in terms of an effective classical, but stochastic evolution equation. The stochastic noise represents short-wavelength modes that continually ...
    • T3-invariant heterotic Hull-Strominger solutions 

      Svanes, Eirik Eik; Acharya, Bobby S.; Kinsella, Alex (Peer reviewed; Journal article, 2021-01)
      We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the T3-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex ...
    • Topological G2 and Spin(7) strings at 1-loop from double complexes 

      Ashmore, Anthony; Coimbra, André; Strickland-Constable, Charles; Svanes, Eirik Eik; Tennyson, David (Peer reviewed; Journal article, 2022)
      We study the topological G2 and Spin(7) strings at 1-loop. We define new double complexes for supersymmetric NSNS backgrounds of string theory using generalised geometry. The 1-loop partition function then has a target-space ...
    • Towards learning optimized kernels for complex Langevin 

      Alvestad, Daniel; Larsen, Rasmus Normann; Rothkopf, Alexander Karl (Peer reviewed; Journal article, 2023)
      We present a novel strategy aimed at restoring correct convergence in complex Langevin simulations. The central idea is to incorporate system-specific prior knowledge into the simulations, in order to circumvent the NP-hard ...
    • Universal Black Holes 

      Hervik, Sigbjørn; Ortaggio, Marcello (Peer reviewed; Journal article, 2020-02)
      We prove that a generalized Schwarzschild-like ansatz can be consistently employed to construct d-dimensional static vacuum black hole solutions in any metric theory of gravity for which the Lagrangian is a scalar invariant ...
    • Universal spacetimes in four dimensions 

      Hervik, Sigbjørn; Pravda, Vojtech; Pravdova, Alena (Journal article; Peer reviewed, 2017-10)
      Universal spacetimes are exact solutions to all higher-order theories of gravity. We study these spacetimes in four dimensions and provide necessary and sufficient conditions for universality for all Petrov types except ...