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We study soft emission in QED during scattering of Faddeev-Kulish dressed states. The incoming and outgoing charged particles are accompanied by coherent clouds of soft photons with energies below a characteristic infrared scale $E_d$. We…

High Energy Physics - Theory · Physics 2026-03-23 Stavros Christodoulou , Nicolaos Toumbas

We construct Faddeev-Kulish states in QED and perturbative quantum gravity to subleading order in the soft momentum expansion and to first order in the coupling constant, using the charge conservation formula of asymptotic symmetries…

High Energy Physics - Theory · Physics 2019-10-02 Sangmin Choi , Ratindranath Akhoury

We consider scattering of Faddeev-Kulish electrons in QED and study the entanglement between the hard and soft particles in the final state at the perturbative level. The soft photon spectrum naturally splits into two parts: i) soft photons…

High Energy Physics - Theory · Physics 2021-01-15 Theodore N Tomaras , Nicolaos Toumbas

We study information-theoretic aspects of the infrared sector of quantum electrodynamics, using the dressed-state approach pioneered by Chung, Kibble, Faddeev-Kulish and others. In this formalism QED has an IR-finite S-matrix describing the…

High Energy Physics - Theory · Physics 2018-01-17 Daniel Carney , Laurent Chaurette , Dominik Neuenfeld , Gordon Walter Semenoff

We study the $S$-matrix and inclusive cross-section for general dressed states in quantum electrodynamics. We obtain an infrared factorization formula of the $S$-matrix elements for general dressed states. It enables us to study what…

High Energy Physics - Theory · Physics 2023-05-16 Hayato Hirai , Sotaro Sugishita

The entanglement among scattering particles in an exemplary quantum electrodynamics (QED) process is studied perturbatively. To increase the computational accuracy, we need to consider virtual photon loop diagrams, which lead to infrared…

High Energy Physics - Theory · Physics 2025-08-19 Jinbo Fan , Xuanting Ji , Xi-Jun Ren

We consider soft photons effects (IR structure of QED) on the construction of physical qubits. Soft-photons appear when we build charged qubits from the asymptotic states of QED. This construction is necessary in order to include the effect…

Quantum Physics · Physics 2009-05-14 J. Leon , E. Martin-Martinez

We show explicitly that, among the scattering amplitudes constructed from eigenstates of the BMS supertranslation charge, the ones that conserve this charge, are equal to those constructed from Faddeev-Kulish states. Thus, Faddeev-Kulish…

High Energy Physics - Theory · Physics 2018-04-04 Sangmin Choi , Ratindranath Akhoury

In [1,2] it was shown that the subleading soft photon theorem in tree level amplitudes in massless QED is equivalent to a new class of symmetries of the theory parameterized by a vector field on the celestial sphere. In this paper, we…

High Energy Physics - Theory · Physics 2018-07-04 Alok Laddha , Prahar Mitra

We discuss the infrared and ultraviolet behavior of the fermion propagator in (2+1)-dimensional QED based on spectral representation.If we choose soft-photon exponentiation to include all orders of soft-photon emission by electron,its…

High Energy Physics - Theory · Physics 2014-03-17 Yuichi Hoshino

In order to deal with IR divergences arising in QED or perturbative quantum gravity scattering processes, one can either calculate inclusive quantities or use dressed asymptotic states. We consider incoming superpositions of momentum…

High Energy Physics - Theory · Physics 2019-01-09 Daniel Carney , Laurent Chaurette , Dominik Neuenfeld , Gordon Semenoff

We consider two applications of the factorization of infrared dynamics in QED and gravity. The first is a redefinition of the Lorentz transformations that makes them commute with supertranslations. The other is the process of particle…

High Energy Physics - Theory · Physics 2019-01-30 Reza Javadinezhad , Uri Kol , Massimo Porrati

Recently Sahoo and Sen obtained a series of remarkable results concerning sub-leading soft photon and graviton theorems in four dimensions. Even though the S- matrix is infrared divergent, they have shown that the sub-leading soft theorems…

High Energy Physics - Theory · Physics 2020-01-08 Miguel Campiglia , Alok Laddha

Infrared (IR) divergences arise in scattering theory with massless fields and are manifestations of the memory effect. There is nothing singular about states with memory, but they do not lie in the standard Fock space. IR divergences are…

High Energy Physics - Theory · Physics 2022-09-12 Kartik Prabhu , Gautam Satishchandran , Robert M. Wald

We investigate quantum electrodynamics in the infrared regime (QED-IR) using the adiabatic approximation and the framework of the functional Berry phase. In this approach, the physical state space is exact, nonperturbatively dressed, and…

High Energy Physics - Phenomenology · Physics 2025-10-14 J. Gamboa , F. Mendez

The infrared problem in quantum electrodynamics consists of intriguing difficulties in scattering theory appearing at large scales and low energies. Although they can be circumvented using ad hoc recipes, such as the inclusive collision…

Mathematical Physics · Physics 2023-07-13 Paweł Duch , Wojciech Dybalski

Dressed states were proposed to define the infrared (IR) finite $S$-matrix in QED or gravity. We show that the original Kulish-Faddeev dressed states are not enough to cure the IR divergences. To illustrate this problem, we consider QED…

High Energy Physics - Theory · Physics 2021-02-25 Hayato Hirai , Sotaro Sugishita

Previous analyses of asymptotic symmetries in QED have shown that the subleading soft photon theorem implies a Ward identity corresponding to a charge generating divergent large gauge transformations on the asymptotic states at null…

High Energy Physics - Theory · Physics 2023-04-28 Temple He , Prahar Mitra

Recently it has been shown that the vacuum state in QED is infinitely degenerate. Moreover a transition among the degenerate vacua is induced in any nontrivial scattering process and determined from the associated soft factor. Conventional…

High Energy Physics - Theory · Physics 2017-10-18 Daniel Kapec , Malcolm Perry , Ana-Maria Raclariu , Andrew Strominger

In a low energy approximation of the massless Yukawa theory (Nelson model) we derive a Faddeev-Kulish type formula for the scattering matrix of $N$ electrons and reformulate it in LSZ terms. To this end, we perform a decomposition of the…

High Energy Physics - Theory · Physics 2021-04-23 Wojciech Dybalski
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