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The problem of bound states in effective field theories is studied. A rescaled version of nonrelativistic effective field theory is formulated which makes the velocity power counting of operators manifest. Results obtained using the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Michael Luke , Aneesh V. Manohar

We consider the compactification of the dual form of $N=1$ $D=10$ supergravity on a six-dimensional Calabi-Yau manifold. An $N=1$ off-shell supergravity effective Lagrangian in four dimensions can be constructed in a dual version of the…

High Energy Physics - Theory · Physics 2010-04-06 R. D'Auria , S. Ferrara , M. Villasante

The invariance of physical observables under redefinitions of the quantum fields is a well-known and important property of quantum field theory. We study perturbative field redefinitions in effective theories, paying special attention to…

High Energy Physics - Phenomenology · Physics 2019-09-23 Juan Carlos Criado , Manuel Perez-Victoria

Exceptional field theories are the manifestly duality covariant formulations of the target space theories of string/M-theory in the low-energy limit (supergravity) or for certain truncations. These theories feature a rich system of…

High Energy Physics - Theory · Physics 2019-06-19 Olaf Hohm , Henning Samtleben

The goal of these notes is to give a brief explanation of how electric-magnetic duality in four dimensions is related to the existence of an unusual conformal field theory in six dimensions.

Representation Theory · Mathematics 2008-02-07 Edward Witten

We briefly review general concepts of renormalization in quantum field theory and discuss their application to solutions of integral equations with singular potentials in the few-nucleon sector of the low-energy effective field theory of…

Nuclear Theory · Physics 2020-05-28 E. Epelbaum , A. M. Gasparyan , J. Gegelia , Ulf-G. Meißner , X. -L. Ren

We examine the motion of light fields near the bottom of a potential valley in a multi-dimensional field space. In the case of two fields we identify three general scales, all of which must be large in order to justify an effective…

High Energy Physics - Theory · Physics 2015-06-11 C. P. Burgess , M. W. Horbatsch , Subodh P. Patil

We describe the most general local, Lorentz-invariant, effective field theory of scalars, fermions and gauge bosons up to mass dimension 6. We first obtain both a Green and a physical basis for such an effective theory, together with the…

High Energy Physics - Phenomenology · Physics 2025-01-24 Renato M. Fonseca , Pablo Olgoso , José Santiago

This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and…

Nuclear Theory · Physics 2009-11-19 R. J. Furnstahl , G. Rupak , T. Schaefer

Braneworld theories are often described as low-energy effective field theories (EFTs) featuring an infinitely thin 3-brane and 4D fields exactly localized on it. We investigate whether an exactly localized braneworld can arise as a limit of…

High Energy Physics - Theory · Physics 2020-04-01 Sylvain Fichet

Effective field theory provides a way of parameterizing strong-field deviations from General Relativity that might be observable in the gravitational waves emitted in a black hole merger. To perform numerical simulations of mergers in such…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Aron D. Kovacs , Harvey S. Reall

We briefly review how nonrelativistic effective field theories give us a definition of the QCD potentials and a coherent field theory derived quantum mechanical scheme to calculate the properties of bound states made by two or more heavy…

High Energy Physics - Phenomenology · Physics 2009-01-08 Nora Brambilla

In this work, we present an effective field theory to describe a two-component Fermi gas near a $d$-wave interaction resonance. The effective field theory is renormalizable by matching with the low energy $d$-wave scattering phase shift.…

Quantum Gases · Physics 2017-04-19 Pengfei Zhang , Shizhong Zhang , Zhenhua Yu

Two-nucleon effective field theory (EFT) beyond momenta of order the pion mass is studied for both cutoff regularization and dimensional regularization with power divergence subtraction (PDS). Models with two mass scales illustrate how…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

We revisit the chiral kinetic equation from high density effective theory approach, finding a chiral kinetic equation differs from counterpart derived from field theory in high order terms in the $O(1/\mu)$ expansion, but in agreement with…

High Energy Physics - Phenomenology · Physics 2019-07-30 Shu Lin , Aradhya Shukla

To achieve a maximal locality in a trivial field theory, we maximize the ultraviolet cutoff of the theory by fine tuning the infrared values of the parameters. This optimization procedure is applied to the scalar theory in $D+1$ dimensions…

High Energy Physics - Theory · Physics 2009-11-10 Jisuke Kubo , Masanori Nunami

Any effective field theory relies on power counting rules that allow one to perform a systematic expansion of calculated quantities in terms of some soft scales. However, a naive power counting can be violated due to the presence of various…

High Energy Physics - Phenomenology · Physics 2025-04-24 A. M. Gasparyan , E. Epelbaum

In this paper we investigate the possibility whether, in the extreme limit of high energies and large transverse distances, reggeon field theory might serve as an effective theory of high energy scattering for strong interactions. We…

High Energy Physics - Theory · Physics 2016-05-04 Jochen Bartels , Carlos Contreras , Gian Paolo Vacca

We study the modular symmetry in four-dimensional low-energy effective field theory, which is derived from type IIB magnetized D-brane models and type IIA intersecting D-brane models. We analyze modular symmetric behaviors of perturbative…

High Energy Physics - Theory · Physics 2019-12-06 Tatsuo Kobayashi , Satoshi Nagamoto , Shohei Uemura

A class of effective field theories for moduli or collective coordinates on solitons of generic shapes is constructed. As an illustration, we consider effective field theories living on solitons in the O(4) non-linear sigma model with…

High Energy Physics - Theory · Physics 2015-06-09 Sven Bjarke Gudnason , Muneto Nitta
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