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We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the process, we develop the conformal partial wave…

高能物理 - 理论 · 物理学 2018-07-24 Miguel S. Costa , Vasco Goncalves , Joao Penedones

We consider the structure of the operator product expansion (OPE) in conformal field theory by employing the OPE block formalism. The OPE block acted on the vacuum is promoted to an operator and its implications are examined on a non-vacuum…

高能物理 - 理论 · 物理学 2020-12-02 Nozomu Kobayashi , Tatsuma Nishioka , Yoshitaka Okuyama

We study two kinematical limits, the Regge limit and the Lorentzian OPE limit, of the four-point function of the stress-tensor multiplet in Super Yang-Mills at weak coupling. We explain how both kinematical limits are controlled by the…

高能物理 - 理论 · 物理学 2015-06-17 Miguel S. Costa , James Drummond , Vasco Goncalves , Joao Penedones

We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 ($s$, $\phi$, and $t$). We obtain numerical predictions for low-twist OPE…

高能物理 - 理论 · 物理学 2020-12-02 Junyu Liu , David Meltzer , David Poland , David Simmons-Duffin

We derive a nonperturbative, convergent operator product expansion (OPE) for null-integrated operators on the same null plane in a CFT. The objects appearing in the expansion are light-ray operators, whose matrix elements can be computed by…

高能物理 - 理论 · 物理学 2020-06-01 Murat Kologlu , Petr Kravchuk , David Simmons-Duffin , Alexander Zhiboedov

We investigate the heavy-light four-point function up to double-stress-tensor, supplementing 1910.06357. By using the OPE coefficients of lowest-twist double-stress-tensor in the literature, we find the Regge behavior for lowest-twist…

高能物理 - 理论 · 物理学 2022-06-15 Yue-Zhou Li , Hao-Yu Zhang

We argue that every CFT contains light-ray operators labeled by a continuous spin J. When J is a positive integer, light-ray operators become integrals of local operators over a null line. However for non-integer J, light-ray operators are…

高能物理 - 理论 · 物理学 2019-08-27 Petr Kravchuk , David Simmons-Duffin

We initiate a study of asymptotic detector operators in weakly-coupled field theories. These operators describe measurements that can be performed at future null infinity in a collider experiment. In a conformal theory they can be…

高能物理 - 理论 · 物理学 2023-04-26 Simon Caron-Huot , Murat Kologlu , Petr Kravchuk , David Meltzer , David Simmons-Duffin

We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2,0) theories in six dimensions. The different conformal multiplets in a single superconformal multiplet must all have similarly-shaped Regge…

高能物理 - 理论 · 物理学 2022-01-26 Madalena Lemos , Balt C. van Rees , Xiang Zhao

The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid…

高能物理 - 理论 · 物理学 2021-05-26 Simon Caron-Huot , Joshua Sandor

Motivated by applications to the study of ultracold atomic gases near the unitarity limit, we investigate the structure of the operator product expansion (OPE) in non-relativistic conformal field theories (NRCFTs). The main tool used in our…

高能物理 - 理论 · 物理学 2016-04-20 Walter D. Goldberger , Zuhair U. Khandker , Siddharth Prabhu

We study operators in the rank-$j$ totally symmetric representation of $O(N)$ in the critical $O(N)$ model in arbitrary dimension $d$, in the limit of large $N$ and large charge $j$ with $j/N\equiv \hat{j}$ fixed. The scaling dimensions of…

高能物理 - 理论 · 物理学 2020-12-10 Simone Giombi , Jonah Hyman

We discuss conserved currents and operator product expansions (OPE's) in the context of a $O(N)$ invariant conformal field theory. Using OPE's we find explicit expressions for the first few terms in suitable short-distance limits for…

高能物理 - 理论 · 物理学 2014-11-18 Anastasios Petkou

Using integrability, we construct (to leading order in perturbation theory) the explicit form of twist-three light-ray operators in planar $\mathcal{N}=4$ SYM. This construction allows us to directly compute analytically continued CFT data…

高能物理 - 理论 · 物理学 2024-09-05 Alexandre Homrich , David Simmons-Duffin , Pedro Vieira

From the perspective of AdS/CFT the Pomeron is identified with a Reggeized Graviton, while the Odderons correspond to Reggeized anti-symmetric $AdS_5$ Kalb-Ramond tensor-fields. In this paper, we consider the strong coupling expansion of…

高能物理 - 理论 · 物理学 2015-06-17 Richard C. Brower , Miguel S. Costa , Marko Djurić , Timothy Raben , Chung-I Tan

We examine the Regge limit of holographic 4-point correlation functions in AdS$_3\times S^3$ involving two heavy and two light operators. In this kinematic regime such correlators can be reconstructed from the bulk phase shift accumulated…

高能物理 - 理论 · 物理学 2021-07-21 Nejc Ceplak , Marcel R. R. Hughes

Within the framework of field-theoretical description of second-order phase transitions via the 3-dimensional O(N) vector model, accurate predictions for critical exponents can be obtained from (resummation of) the perturbative series of…

统计力学 · 物理学 2011-02-16 Riccardo Guida , Paolo Ribeca

We consider unitary CFTs with continuous global symmetries in $d>2$. We consider a state created by the lightest operator of large charge $Q \gg 1$ and analyze the correlator of two light charged operators in this state. We assume that the…

高能物理 - 理论 · 物理学 2018-06-13 Daniel Jafferis , Baur Mukhametzhanov , Alexander Zhiboedov

We calculate directly in position space the one-loop renormalization kernels of the soft operators $O_\gamma$ and $O_g$ that appear in the soft-quark contributions to, respectively, the subleading-power $\gamma\gamma\to h$ and $gg\to h$…

高能物理 - 唯象学 · 物理学 2024-05-24 Martin Beneke , Yao Ji , Xing Wang

The renormalized trajectory (RT) is determined from two different Monte Carlo renormalization group techniques with $\delta$-function block spin transformation in the multi-dimensional coupling parameter space of the two-dimensional…

高能物理 - 格点 · 物理学 2009-10-28 Wolfgang Bock , Julius Kuti
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