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In this paper, we derive the Carrollian amplitude in the framework of bulk reduction. The Carrollian amplitude is shown to relate to the scattering amplitude by a Fourier transform in this method. We propose Feynman rules to calculate the…

High Energy Physics - Theory · Physics 2024-07-31 Wen-Bin Liu , Jiang Long , Xiao-Quan Ye

Carrollian amplitudes are scattering amplitudes of massless particles written in position space at null infinity. We study various aspects of Carrollian amplitudes for gauge theory and gravity at loop level using primarily the modified…

High Energy Physics - Theory · Physics 2026-05-15 Vijay Nenmeli , Bin Zhu

Carrollian holography is supposed to describe gravity in four-dimensional asymptotically flat space-time by the three-dimensional Carrollian CFT living at null infinity. We transform superstring scattering amplitudes into the correlation…

High Energy Physics - Theory · Physics 2024-03-29 Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

Carrollian amplitudes are flat space amplitudes written in position space at null infinity which can be re-interpreted as correlators in a putative dual Carrollian CFT. We argue that these amplitudes are the natural objects obtained in the…

High Energy Physics - Theory · Physics 2024-06-28 Luis F. Alday , Maria Nocchi , Romain Ruzziconi , Akshay Yelleshpur Srikant

Carrollian amplitude is the natural object that defines the correlator of the boundary Carrollian field theory. In this work, we will elaborate on its proper definition in general dimensions. We use the vielbein field on the unit sphere to…

High Energy Physics - Theory · Physics 2024-11-12 Wen-Bin Liu , Jiang Long , Hong-Yang Xiao , Jing-Long Yang

Carrollian holography aims to express gravity in four-dimensional asymptotically flat spacetime in terms of a dual three-dimensional Carrollian CFT living at null infinity. Carrollian amplitudes are massless scattering amplitudes written in…

High Energy Physics - Theory · Physics 2023-12-19 Lionel Mason , Romain Ruzziconi , Akshay Yelleshpur Srikant

We study Carrollian amplitudes of massless scalars in (1+2) Minkowski space. Using the prescription recently shown by Alday et al. [JHEP 03 (2025) 158] originally designed for the AdS4 Witten diagrams, we show that AdS3 Witten diagrams in…

High Energy Physics - Theory · Physics 2025-04-24 Iustin Surubaru , Bin Zhu

The theory of particle scattering is concerned with transition amplitudes between states that belong to unitary representations of the Poincar\'e group. The latter acts as the isometry group of Minkowski spacetime $\mathbb{M}$, making…

High Energy Physics - Theory · Physics 2025-03-18 Kevin Nguyen

In this work, we study the spectrum of the Carrollian superstring in the flipped vacuum (the highest-weight representation) in detail. The target spacetime of the Carrollian string has a generalized Carrollian symmetry, and it is composed…

High Energy Physics - Theory · Physics 2025-07-31 Bin Chen , Zezhou Hu

We study the thermal Carrollian correlators at null infinity in the real-time formalism. We derive the Feynman rules to calculate these correlators in the position space. We compute the bulk-to-bulk, bulk-to-boundary and…

High Energy Physics - Theory · Physics 2025-10-21 Jiang Long , Hong-Yang Xiao

We investigate the (conformally coupled) scalar field on a general Carrollian spacetime in arbitrary dimension. The analysis discloses electric and magnetic dynamics. For both, we provide the energy and the momenta of the field, accompanied…

High Energy Physics - Theory · Physics 2022-10-12 David Rivera-Betancour , Matthieu Vilatte

Carrollian conformal field theory offers an alternative description of massless scattering amplitudes, that is holographic in nature. In an effort to build a framework that is both predictive and constraining, we construct operator product…

High Energy Physics - Theory · Physics 2026-04-20 Kevin Nguyen , Jakob Salzer

Carrollian holography is a framework for flat space holography, suggesting that gravity in asymptotically flat spacetime in $D$ dimensions is dual to a conformal Carrollian field theory in $D - 1$ dimensions living at null infinity. In this…

High Energy Physics - Theory · Physics 2025-08-12 Harshal Kulkarni , Romain Ruzziconi , Akshay Yelleshpur Srikant

By appeal to Distribution Theory we discuss in rigorous fashion, without appealing to {\bf any conjecture} (as usually done by other authors), the boundary-bulk propagators for the scalar field, both in the non-massive and massive cases.…

High Energy Physics - Theory · Physics 2019-02-08 A. Plastino , M. C. Rocca

We construct Carrollian scalar field theories in general dimensions, mainly focusing on the boundaries of Minkowski and Rindler spacetime, whose quantum flux operators form a faithful representation of Carrollian diffeomorphism up to a…

High Energy Physics - Theory · Physics 2023-11-22 Ang Li , Wen-Bin Liu , Jiang Long , Run-Ze Yu

The Feynman propagator encodes all the physics contained in a free field and transforms as a covariant bi-scalar. Therefore, we should be able to discover the thermality of the Rindler horizon, just by probing the structure of the…

General Relativity and Quantum Cosmology · Physics 2019-09-04 T. Padmanabhan

We investigate anisotropic conformal Carroll field theories and their holographic duals. On the field theory side, we focus on the case with scaling exponent $z=0$ in two and three spacetime dimensions. These theories exhibit…

High Energy Physics - Theory · Physics 2025-09-09 Emilie Despontin , Stephane Detournay , Sudipta Dutta , Dima Fontaine

We introduce a new class of higgs type complex-valued scalar fields $U$ with Feynman propagator $\sim 1/p^4$ and consider the matching to the traditional fields with propagator $\sim 1/p^2$ in the viewpoint of effective potentials at tree…

General Physics · Physics 2020-08-04 Rui-Cheng Li

Using the holographic machinery built up in a previous work, we show that the hidden SL(2,R) symmetry of a scalar quantum field propagating in a Rindler spacetime admits an enlargement in terms of a unitary positive-energy representation of…

High Energy Physics - Theory · Physics 2015-06-26 V. Moretti , N. Pinamonti

We use the worldline formalism to derive integral representations for three classes of amplitudes in scalar field theory: (i) the scalar propagator exchanging N momenta with a scalar background field (ii) the "half-ladder" with N rungs in x…

High Energy Physics - Phenomenology · Physics 2015-06-19 F. Bastianelli , A. Huet , C. Schubert , R. Thakur , A. Weber
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