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Functional geometry is a framework using concepts from geometry to understand the invariance of amplitudes in quantum field theory under a large class of field redefinitions, including those involving derivatives. It is inspired by…

High Energy Physics - Theory · Physics 2026-04-23 Antonio Delgado , Adam Martin , Runqing Wang

We discuss the equivalence between light-front time-ordered-perturbation theory and covariant quantum field theory in light-front quantization, in the case of quantum electrodynamics at one-loop level. In particular, we review the one-loop…

High Energy Physics - Phenomenology · Physics 2016-12-21 Luca Mantovani , Barbara Pasquini , Xiaonu Xiong , Alessandro Bacchetta

In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree…

High Energy Physics - Theory · Physics 2023-03-14 Humberto Gomez , Renann Lipinski Jusinskas , Cristhiam Lopez-Arcos , Alexander Quintero Velez

A review of light-cone, covariant and gauge-invariant wave-functions of mesons is presented. They are basic non-perturbative objects needed for hard exclusive processes and for the method of light-cone QCD sum rules. The emphasis is on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Stoll

The wave function of a composite system is defined in relativity on a space-time surface. In the explicitly covariant light-front dynamics, reviewed in the present article, the wave functions are defined on the plane $\omega \cd x=0$, where…

Nuclear Theory · Physics 2011-07-19 J. Carbonell , B. Desplanques , V. A. Karmanov , J. -F. Mathiot

We analyze the off-shell scattering amplitudes in the framework of the light-front perturbation theory. It is shown that the previously derived recursion relation between tree level off-shell amplitudes in this formalism actually resums…

High Energy Physics - Phenomenology · Physics 2015-06-24 C. Cruz-Santiago , P. Kotko , A. Stasto

Scattering amplitudes in quantum field theory are independent of the field parameterization, which has a natural geometric interpretation as a form of `coordinate invariance.' Amplitudes can be expressed in terms of Riemannian curvature…

High Energy Physics - Theory · Physics 2023-02-08 Timothy Cohen , Nathaniel Craig , Xiaochuan Lu , Dave Sutherland

We initiate a study of correlation functions of gauge-invariant operators in N=4 super Yang-Mills theory using the light-cone superspace formalism. Our primary aim is to develop efficient methods to compute perturbative corrections to…

High Energy Physics - Theory · Physics 2020-02-26 Sudarshan Ananth , Stefano Kovacs , Sarthak Parikh

Invariance of on-shell scattering amplitudes under field redefinitions is a well known property in field theory that corresponds to covariance of on-shell amputated connected functions. In recent years there have been great efforts to…

High Energy Physics - Theory · Physics 2026-03-06 Mohammad Alminawi

We derive the scattering amplitude for Goldstone bosons of chiral symmetry off the pseudoscalar charmed mesons up to leading one-loop order in a covariant chiral effective field theory, using the so-called extended-on-mass-shell…

High Energy Physics - Phenomenology · Physics 2015-11-09 De-Liang Yao , Meng-Lin Du , Feng-Kun Guo , Ulf-G. Meißner

We elucidate some exact relations between light-cone and covariant string field theories on the basis of the homological perturbation lemma for $A_{\infty }$. The covariant string field splits into the light-cone string field and trivial…

High Energy Physics - Theory · Physics 2019-05-22 Hiroaki Matsunaga

This paper presents an evaluation of the wave function coefficients for conformally coupled scalars at both one and two-loop levels at leading order in the coupling constant, in momentum space. We take cues from time-dependent interactions…

High Energy Physics - Theory · Physics 2025-03-06 Chandramouli Chowdhury , Kajal Singh

Light-cone quantization of gauge theories is discussed from two perspectives: as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and as a novel method for simulating quantum field theory…

High Energy Physics - Phenomenology · Physics 2010-12-13 Hans-Christian Pauli

The fragmentation functions and scattering amplitudes are investigated in the framework of light-front perturbation theory. It is demonstrated that, the factorization property of the fragmentation functions implies the recursion relations…

High Energy Physics - Phenomenology · Physics 2015-06-16 Christian A. Cruz-Santiago , Anna M. Stasto

We discuss the light-cone quantization of gauge theories as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and also as a novel method for simulating quantum field theory on a computer.…

High Energy Physics - Phenomenology · Physics 2009-09-25 S. Brodsky , H-C Pauli , S. Pinsky

Feynman amplitudes of light-cone gauge string field theory for Type II superstrings are shown to be equivalent to those of the covariant first quantized formulation. In order to regularize the contact term divergences, we consider the…

High Energy Physics - Theory · Physics 2018-10-19 Nobuyuki Ishibashi

We show how to apply the BCFW recursion relation to Feynman loop integrals with the help of the Feynman-tree theorem. We deconstruct in this way all Feynman diagrams in terms of on-shell subamplitudes. Every cut originating from the…

High Energy Physics - Theory · Physics 2016-05-18 M. Maniatis , C. M. Reyes

Using light cone string field theory we derive recursion relations for closed string correlation functions and scattering amplitudes which hold to all orders in perturbation theory. These results extend to strings in a plane wave…

High Energy Physics - Theory · Physics 2008-11-26 Anton Ilderton

With a consistent definition of transverse-momentum dependent (TMD) light-cone wave function, we show that the amplitude for the process $\gamma^* \pi^0 \to\gamma$ can be factorized when the virtuality of the initial photon is large. In…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. P. Ma , Q. Wang

We present a diagrammatic formulation of recently-revived covariant functional approaches to one-loop matching from an ultraviolet (UV) theory to a low-energy effective field theory. Various terms following from a covariant derivative…

High Energy Physics - Phenomenology · Physics 2017-09-13 Zhengkang Zhang
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