A priori bounds for the generalised parabolic Anderson model
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
Deforming the Double‐Scaled SYK and Reaching the Stretched Horizon From Finite Cutoff Holography
ABSTRACT We study the properties of the double‐scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower‐dimensional analog of TT¯(+Λ2)$\text{T}\overline{\text{T}}(+\Lambda _2)$ deformations, denoted T2 ...
Sergio E. Aguilar‐Gutierrez
wiley +1 more source
Perturbatively improving regularization-invariant momentum scheme renormalization constants [PDF]
The determination of renormalization factors is of crucial importance in lattice QCD. They relate the observables obtained on the lattice to their measured counterparts in the continuum in a suitable renormalization scheme.
Göckeler, M. +8 more
core +1 more source
Fine dissipative properties of Euler solutions with measure first derivatives
Abstract We study fine properties of bounded weak solutions to the incompressible Euler equations whose first derivatives, or only some combinations of them, are Radon measures. As consequences we obtain elementary proofs of the local energy conservation for solutions with bounded variation or deformation, without relying on the freedom in choosing the
Marco Inversi
wiley +1 more source
Dimensional regularization and renormalization of non-commutative QFT
31 pages, 8 figuresUsing the recently introduced parametric representation of non-commutative quantum field theory, we implement here the dimensional regularization and renormalization of the vulcanized $\Phi^{\star 4}_4$ model on the Moyal ...
Tanasa, A., Gurau, R.
core
Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley +1 more source
Renormalization: a quasi-shuffle approach
International audienceIn recent years, the usual BPHZ algorithm for renormalization in perturbative quantum field theory has been interpreted, after dimensional regularization, as a Birkhoff decomposition of characters on the Hopf algebra of Feynman ...
Menous, Frédéric +3 more
core +1 more source
Selfconsistent calculations of mesonic properties at nonzero temperature
After a brief introduction on QCD and effective models in the first chapter, I analyze the dependence of the QCD transition temperature on the quark (or pion) mass in the second chapter.
Röder, Dirk
core
Running gravitational couplings, decoupling, and curved spacetime renormalization
We propose to slightly generalize the DeWitt-Schwinger adiabatic renormalization subtractions in curved space to include an arbitrary renormalization mass scale μ.
Navarro-Salas, José, Ferreiro, Antonio
core +1 more source
Impact of Quantum Gravity on the UV Sensitivity of Extremal Black Holes
ABSTRACT Recent work has revealed that extremal Kerr black holes may exhibit a sensitivity to higher‐derivative corrections to Einstein's equations, displaying singularities in the tidal forces at the horizon. However, in a purely gravitational context, this “ultraviolet sensitivity” translates into a strong dependence on the Wilson coefficients in the
Francesco Del Porro +2 more
wiley +1 more source

