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Effective field theories (EFTs) of heavy particles coupled to the inflaton are rife with operator redundancies, frequently obscured by sensitivity to both boundary terms and field redefinitions. We initiate a systematic study of these…

High Energy Physics - Phenomenology · Physics 2025-08-08 Nathaniel Craig , Soubhik Kumar , Amara McCune

Effective Field Theories (EFTs) provide a framework for capturing the effects of yet unseen heavy degrees of freedom in a model-independent manner. However, constructing a complete and minimal set of operators, especially at higher mass…

High Energy Physics - Phenomenology · Physics 2024-02-15 Magnus C. Schaaf

Using conformal field theory (CFT) arguments we derive an infinite number of constraints on the large spin expansion of the anomalous dimensions and structure constants of higher spin operators. These arguments rely only on analiticity,…

High Energy Physics - Theory · Physics 2016-01-27 Luis F. Alday , Agnese Bissi , Tomasz Lukowski

Debate topic for Effective Field Theory (EFT) is the choice of a "basis" for $\mrdim = 6$ operators Clearly all bases are equivalent as long as they are a "basis", containing a minimal set of operators after the use of equations of motion…

High Energy Physics - Phenomenology · Physics 2016-11-01 Giampiero Passarino

We present an Effective Field Theory (EFT) formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by…

High Energy Physics - Theory · Physics 2013-05-29 Walter D. Goldberger , Ira Z. Rothstein

We study Schr\"odinger invariant field theories (nonrelativistic conformal field theories) in the large charge (particle number) sector. We do so by constructing the effective field theory (EFT) for a Goldstone boson of the associated…

High Energy Physics - Theory · Physics 2019-04-12 S. M. Kravec , Sridip Pal

We consider the construction of operator bases for massless, relativistic quantum field theories, and show this is equivalent to obtaining the harmonic modes of a physical manifold (the kinematic Grassmannian), upon which observables have…

High Energy Physics - Phenomenology · Physics 2019-08-07 Brian Henning , Tom Melia

We introduce an effective field theory (EFT) for conformal impurity by considering a pair of transversely displaced impurities and integrating out modes with mass inversely proportional to the separation distance. This EFT captures the…

High Energy Physics - Theory · Physics 2024-06-11 Oleksandr Diatlyk , Himanshu Khanchandani , Fedor K. Popov , Yifan Wang

In a companion paper, we show that operator bases for general effective field theories are controlled by the conformal algebra. Equations of motion and integration by parts identities can be systematically treated by organizing operators…

High Energy Physics - Phenomenology · Physics 2019-08-26 Brian Henning , Xiaochuan Lu , Tom Melia , Hitoshi Murayama

Scattering amplitudes in $d+2$ dimensions can be recast as correlators of conformal primary operators in a putative holographic CFT$_d$ by working in a basis of boost eigenstates instead of momentum eigenstates. It has been shown previously…

High Energy Physics - Theory · Physics 2024-02-15 Prahar Mitra

We derive the effective theories for heavy particles with a functional integral approach by integrating away the states with high velocity and with high virtuality. This formulation is non-perturbative and has a close connection with the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ugo Aglietti , Stefano Capitani

We study non-relativistic conformal field theory on a flat space in the presence of a planar boundary. We compute correlation functions of primary operators and obtain the expression for the boundary conformal block. We also discuss the…

High Energy Physics - Theory · Physics 2022-04-13 Rajesh Kumar Gupta , Ramanpreet Singh

I review the effective field theory (EFT) description of gravitating compact objects. The focus is on kinematic regimes where gravity is perturbative, in particular the adiabatic inspiral phase relevant to gravitational wave detection. For…

High Energy Physics - Theory · Physics 2022-12-14 Walter D. Goldberger

Effective field theories (EFT) parameterize the long-distance effects of short-distance dynamics whose details may or may not be known. It is known that EFT coefficients must obey certain positivity constraints if causality and unitarity…

High Energy Physics - Theory · Physics 2021-06-16 Simon Caron-Huot , Vincent Van Duong

For many-particle systems defined on lattices we investigate the global structure of effective Hamiltonians and observables obtained by means of a suitable basis transformation. We study transformations which lead to effective Hamiltonians…

Strongly Correlated Electrons · Physics 2009-11-10 Christian Knetter , Kai P. Schmidt , Goetz S. Uhrig

We present the explicit construction of the effective field theory (EFT) of standard model mass eigenstates. The EFT, which is invariant under $U(1)_{\text{e.m.}}\times SU(3)_c$, is constructed based on the on-shell method and Young Tableau…

High Energy Physics - Phenomenology · Physics 2023-09-22 Zi-Yu Dong , Teng Ma , Jing Shu , Zi-Zheng Zhou

Starting from a theory of heavy particles and antiparticles, the path integral formulation of an effective field theory which describes the low momentum interactions is presented. The heavy degrees of freedom are identified and explicitly…

High Energy Physics - Phenomenology · Physics 2008-02-03 Clarence L. Lee

In two-dimensional conformal field theory (CFT) the building blocks are given by chiral CFTs, i.e.~CFTs on the unit circle (compactified light-ray). They are generated by quantum fields depending on one light-ray coordinate only. There are…

Operator Algebras · Mathematics 2017-12-14 Sebastiano Carpi

We present in detail an Effective Field Theory (EFT) formulation for the essential case of spinning objects as the components of inspiralling compact binaries. We review its implementation, carried out in a series of works in recent years,…

General Relativity and Quantum Cosmology · Physics 2018-09-27 Michele Levi

The program AutoEFT is described. It allows one to generate Effective Field Theories (EFTs) from a given set of fields and symmetries. Allowed fields include scalars, spinors, gauge bosons, and gravitons. The symmetries can be local or…

High Energy Physics - Phenomenology · Physics 2024-04-26 Robert V. Harlander , Magnus C. Schaaf
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