5 papers
AI for Pattern Hunter: Application in Wilson Loop of 2D Lattice Yang-Mills Theory
Zeyu Li, Guorui Zhu, Wenjie He +4
We employ the Transformer to learn patterns in two-dimensional lattice Yang-Mills theory. Specifically, we represent both Wilson loops and their expectation values as tokenized seq…
Loop integrals in de Sitter spacetime: The parity-split IBP system and -form differential equations
Jiaqi Chen, Bo Feng, Zhehan Qin +1
We develop integration-by-parts (IBP) reduction and differential equations for massive loop integrals of cosmological correlators in de Sitter (dS) spacetime, demonstrating the fea…
The canonical differential equations of the one-loop-like integrals
Jiaqi Chen, Bo Feng, Liang Zhang
Recently, a new approach for high loop integrals has been proposed in \cite{Huang:2024nij}, where the whole parameter integration has been divided into two parts: a one-loop-like i…
Multivariate hypergeometric solutions of cosmological (dS) correlators by -form differential equations
Jiaqi Chen, Bo Feng, Yi-Xiao Tao
In this paper, we give the analytic expression for the homogeneous part of solutions of arbitrary tree-level cosmological correlators, including massive propagators and time-deriva…
Towards Systematic Evaluation of de Sitter Correlators via Generalized Integration-By-Parts Relations
Jiaqi Chen, Bo Feng
We generalize Integration-By-Parts (IBP) and differential equations methods to de Sitter correlators related to inflation. While massive correlators in de Sitter spacetime are usua…