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We study the strong-field limit of a theory involving a quantum scalar field coupled to a vector background, which can be either an electromagnetic field or a non-gauge field coupled through the first derivative term. Our approach consists…

High Energy Physics - Theory · Physics 2025-12-09 S. A. Franchino-Viñas , C. García-Pérez , F. D. Mazzitelli , S. Pla , V. Vitagliano , U. Wainstein-Haimovichi

We elaborate on a new technique for computing properties of nucleon-nucleon interactions in terms of an effective field theory derived from low energy NN scattering data. Details of how the expansion is carried out to higher orders are…

Nuclear Theory · Physics 2009-10-31 David B. Kaplan , Martin J. Savage , Mark B. Wise

We continue the program of extending the scattering equation framework by Cachazo, He and Yuan to a double-cover prescription. We discuss how to apply the double-cover formalism to effective field theories, with a special focus on the…

High Energy Physics - Theory · Physics 2019-06-26 Humberto Gomez , Andreas Helset

Cosmological soft theorems (or consistency relations) provide a powerful probe for the physics of inflation. These relations rely on minimal assumptions and hold very generally. Consequently, any violation of these relations would rule out…

High Energy Physics - Theory · Physics 2026-04-14 Farman Ullah

In this paper, we derive the first variation formulas for surfaces in 3-dimensional Euclidean space by using the ``strain-displacement relations'' known in thin shell theory. For applications to architectural surface design, we focus on the…

Differential Geometry · Mathematics 2024-03-26 Yoshiki Jikumaru

An effective field theory for clean electron systems is developed in analogy to the generalized nonlinear sigma-model for disordered interacting electrons. The physical goal is to separate the soft or massless electronic degrees of freedom…

Strongly Correlated Electrons · Physics 2013-10-01 D. Belitz , T. R. Kirkpatrick

We construct "soft-collinear gravity", the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power expansion. Despite the absence of…

High Energy Physics - Phenomenology · Physics 2022-04-14 Martin Beneke , Patrick Hager , Robert Szafron

We present a formulation of scalar effective field theories in terms of the geometry of Lagrange spaces. The horizontal geometry of the Lagrange space generalizes the Riemannian geometry on the scalar field manifold, inducing a broad class…

High Energy Physics - Theory · Physics 2024-02-12 Nathaniel Craig , Yu-Tse Lee , Xiaochuan Lu , Dave Sutherland

We develop an effective field theory to describe the superfluid pairing in strongly interacting fermions with arbitrary short-range attractions, by extending Kaplan's idea of coupling fermions to a fictitious boson state in Nucl. Phys. B…

Quantum Gases · Physics 2020-01-15 Jianshen Hu , Fan Wu , Lianyi He , Xia-Ji Liu , Hui Hu

The calculation of scattering amplitudes in Yang-Mills theory at loop level is important for the analysis of background processes at particle colliders as well as our understanding of perturbation theory at the quantum level. We present…

High Energy Physics - Theory · Physics 2013-05-30 Rutger H. Boels , Reinke Sven Isermann

We derive a factorization theorem that allows for resummation of small-$x$ logarithms by exploiting Glauber operators in the soft collinear effective field theory. Our analysis is carried out for the hadronic tensor $W^{\mu\nu}$ in deep…

High Energy Physics - Phenomenology · Physics 2023-03-27 Duff Neill , Aditya Pathak , Iain Stewart

We present an effective action for the electroweak sector of the Standard Model valid for the calculation of scattering amplitudes in the high energy (Regge) limit. Gauge invariant Wilson lines are introduced to describe reggeized degrees…

High Energy Physics - Phenomenology · Physics 2021-02-03 Melina Gómez Bock , Martin Hentschinski , Agustín Sabio Vera

In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in $\mathcal{N}=4$ SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral…

High Energy Physics - Theory · Physics 2017-04-26 L. V. Bork , A. I. Onishchenko

It is well-known that perturbative calculations in field theory can lead to far simpler answers than the Feynman diagram approach might suggest. In some cases scattering amplitudes can be constructed for processes with any desired number of…

High Energy Physics - Theory · Physics 2007-10-31 James Bedford

Recursion relations are succinctly obtained for $(++... +)$ and $(-++... +)$ amplitudes in the context of the space-cone gauge in QCD. We rely on the helicity symmetry of the problems to dictate our choices of reference twistors and the…

High Energy Physics - Theory · Physics 2017-08-23 Diana Vaman , York-Peng Yao

The quantum correlations of scalar fields are examined as a power series in derivatives. Recursive algebraic equations are derived and determine the amplitudes; all loop integrations are performed. This recursion contains the same…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers

Effective field theory techniques are used to describe the interaction of heavy hadrons in a model independent way. Predictability is obtained by exploiting the symmetries of QCD. Heavy hadron chiral perturbation theory is reviewed and used…

High Energy Physics - Phenomenology · Physics 2007-05-23 Iain W. Stewart

We use an effective field theory for short-range forces (SREFT) to analyze systems of three identical bosons interacting via a two-body potential that generates a scattering length, $a$, which is large compared to the range of the…

Nuclear Theory · Physics 2013-11-21 Chen Ji , Daniel R. Phillips

The relationship between on-shell tree level scattering amplitudes of open and closed strings, discovered some time ago by Kawai, Lewellen and Tye, is used at field theory level (at $O(\alpha'^3)$) to establish a link between the general…

High Energy Physics - Theory · Physics 2009-11-10 N. E. J. Bjerrum-Bohr

By using on-shell recursion relation of string scattering amplitudes (SSA), we show that all n-point SSA of the open bosonic string theory can be expressed in terms of the Lauricella functions. This result extends the previous exact…

High Energy Physics - Theory · Physics 2022-06-28 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang