Theoretical physics · Scattering amplitudes

Lecheng Ren 任乐成

Royal Society Newton International Fellow at Queen Mary University of London. I study scattering amplitudes and correlation functions in quantum field theory, string theory, and cosmology.

Portrait of Lecheng Ren

In a nutshell

My research explores how quantum interactions are encoded in scattering amplitudes and correlation functions, from particle physics and string theory to an expanding universe. I look for geometric and analytic structures that simplify these quantities, reveal relations between them, and make calculations systematic, using tools from cohomology and the theory of special functions.

Research interests

Three connected directions

Cosmology

Wavefunctions and correlators in an expanding universe

I study wavefunctions and correlation functions that describe quantum fields in an expanding universe, with the aim of understanding and simplifying their analytic structure. My work develops graphical coactions for Friedmann–Robertson–Walker integrals and their systematic expansion in multiple polylogarithms, and represents de Sitter chain wavefunctions and one-loop polygon integrands using quadrangular polylogarithms. The coaction combines graph combinatorics and cohomology to organize cosmological integrals.

Holography and energy flow

Energy correlators from AdS string amplitudes

I study energy correlators, which describe how energy is distributed in the final state of a quantum process. At strong coupling, I use string amplitudes in anti-de Sitter space to investigate these observables, including a worldsheet construction of the energy-energy correlator. Ongoing work explores string corrections, supersymmetric sources, and methods for determining correlators directly from their analytic constraints.

String amplitudes

One-loop superstrings from the nodal sphere

I study how string amplitudes can be reconstructed from their field-theory limits, using the nodal sphere to connect worldsheet geometry with scattering data. At one loop, this approach determines non-cusp contributions and reconstructs superstring correlators through 15 points. Modular consistency on the worldsheet yields additional relations among the field-theory data. I also investigate double-copy structures of string amplitudes via twisted (co)homology.

Earlier research

Celestial holography

Celestial holography recasts scattering amplitudes as correlation functions on the celestial sphere. My earlier work studied the symmetries and short-distance behavior of these functions, including their operator product expansions. My contributions explored how symmetry algebras are modified and how loop corrections and on-shell recursion help organize the structure of celestial scattering data.

Geometry and analytic structure of amplitudes

Geometric descriptions help expose the analytic structure of scattering amplitudes and Feynman integrals. My work includes symbol alphabets from tensor diagrams, one-loop integrals represented as volumes of geometric simplices called orthoschemes, and polytopes and boundary configurations for Grassmannian string integrals. These studies connect the functions appearing in amplitudes with combinatorial and geometric data.

On-shell kinematics

I developed a five-dimensional spinor-helicity framework for particles of arbitrary mass and spin. It gives a common language for the momentum and polarization data that enter scattering amplitudes. Treating different particles consistently within this framework makes it easier to construct and analyse amplitudes and to compare their structures across particle species in five dimensions.

Selected work

Recent research highlights

Talks

Recent presentations

Energy-Energy Correlators at Strong Coupling

Pollica Summer Workshop on Scattering Amplitudes, Pollica, Italy.

Energy-Energy Correlators at Strong Coupling

Seminar talk, Prague scattering amplitudes programme.

Energy-Energy Correlators at Strong Coupling

Invited talk, Brown University.

Superstring amplitudes from the field-theory limit: an n-point map at one loop

Conference talk, YOUNGST@RS - Loops & Geometry: Hidden Structures in Multi-loop Amplitudes, Mainz Institute for Theoretical Physics.

Code

Research code

Selected Wolfram Language implementations and calculations accompanying my research.

Cosmology · Chain and loop

Cosmological cluster polylogarithms

Implementations of quadrangular polylogarithms for de Sitter chain wavefunctions and one-loop polygon integrands, together with selected core calculations.

Cosmology · Coaction

Graphical coactions for FRW integrals

Packages, manuals, and calculations for contour and function bases, graphical coactions, and multiple-polylogarithm expansions of FRW integrals.

Amplitudes · Special functions

Orthoscheme polylogarithms

The original implementation of the polylogarithmic constructions used in my work on one-loop integrals as volumes of orthoschemes.

Publications

Research record

For current metadata and citation records, see my INSPIRE profile.

View all publications

Contact

Queen Mary University of London

Centre for Theoretical Physics and Astronomy
School of Physical and Chemical Sciences

lecheng.ren@qmul.ac.uk