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Simulating the full dynamics of a quantum field theory over a wide range of energies requires exceptionally large quantum computing resources. Yet for many observables in particle physics, perturbative techniques are sufficient to…

High Energy Physics - Phenomenology · Physics 2021-12-01 Christian W. Bauer , Marat Freytsis , Benjamin Nachman

These lectures aim to provide a pedagogical introduction to the philosophical underpinnings and technical features of Effective Field Theory (EFT). Improving control of $S$-matrix elements in the presence of a large hierarchy of physical…

High Energy Physics - Phenomenology · Physics 2020-08-31 Timothy Cohen

A general discussion of the renormalization of the quantum theory of a scalar field as an effective field theory is presented. The renormalization group equations in a mass-independent renormalization scheme allow us to identify the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Mario Atance , Jose Luis Cortes

We implement the effective field theory (EFT) approach to dark energy and modified gravity in the public Einstein-Boltzmann solver CAMB. The resulting code, which we dub EFTCAMB, is a powerful and versatile tool that can be used for several…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-28 Bin Hu , Marco Raveri , Noemi Frusciante , Alessandra Silvestri

An exact relation which links the ideal model space to be used in A-body calculations when the two-body interaction is given in a truncated model space is derived. Its implications on the effective field theory (EFT) approach to…

Nuclear Theory · Physics 2018-01-01 C. -J. Yang

The construction of heavy quark effective field theory (HqEFT) is extended to arbitrary order in both expansion parameters $\alpha_s$ and $1/m_q$. Matching conditions are discussed for the general case, and it is verified that this approach…

High Energy Physics - Phenomenology · Physics 2013-11-13 W. Kilian , T. Mannel

Ever since quantum field theory was first applied to the derivation of nuclear forces in the mid-20th century, the renormalization of pion exchange with realistic couplings has presented a challenge. The implementation of effective field…

Nuclear Theory · Physics 2020-03-17 U. van Kolck

Density functional theory (DFT) became a universal approach to compute ground-state and excited configurations of many-electron systems held together by an external one-body potential in condensed-matter, atomic, and molecular physics. At…

Nuclear Theory · Physics 2011-09-30 J. Dobaczewski

In an effective hadronic theory constructed to describe long-range nuclear physics, the dynamics of the vacuum can be expanded in terms with zero or a finite number of derivatives acting on the fields. Thus vacuum dynamics can always be…

Nuclear Theory · Physics 2007-05-23 R. J. Furnstahl , J. Piekarewicz , Brian D. Serot

Investigations of three-body nuclear systems using pionless effective field theory ($\mathrm{EFT}_{\not{\pi}}$) are reviewed. The history of $\mathrm{EFT}_{\not{\pi}}$ in $nd$ and $pd$ scattering is briefly discussed and emphasis put on the…

Nuclear Theory · Physics 2016-09-13 Jared Vanasse

Experiments in particle physics have hitherto failed to produce any significant evidence for the many explicit models of physics beyond the Standard Model (BSM) that had been proposed over the past decades. As a result, physicists have…

History and Philosophy of Physics · Physics 2022-01-24 Philip Bechtle , Cristin Chall , Martin King , Michael Kraemer , Peter Maettig , Michael Stoeltzner

In this paper, we study the low-energy $d-\alpha$ elastic scattering within the two-body cluster effective field theory (EFT) framework. The importance of the $d(\alpha,\alpha) d$ scattering in the $^6 \textrm{Li} $ production reaction…

Nuclear Theory · Physics 2023-03-02 Farzaneh Nazari , Mahdi Radin , Mahdi Moeini Arani

Effective Field Theory(EFT) is, the unique, model independent and systematic low-energy version of QCD for processes involving momenta below the pion mass. A low-energy photo-nuclear observable in three-body systems, photon polarization…

Nuclear Theory · Physics 2008-11-26 H. Sadeghi

Density Functional Theory (DFT) is a powerful and accurate tool exploited in Nuclear Physics to investigate the ground-state and some collective properties of nuclei along the whole nuclear chart. Models based on DFT are, however, not…

Nuclear Theory · Physics 2017-10-26 X. Roca-Maza , Y. F. Niu , G. Colò , P. F. Bortignon

Based on a functional-integral formalism, a generalization of the self-energy-functional theory (SFT) is proposed which is applicable to systems of interacting electrons with disorder. Similar to the pure case without disorder, a…

Strongly Correlated Electrons · Physics 2013-05-29 Michael Potthoff , Matthias Balzer

This paper examines the role that regularization plays in the definition of the potential used in effective field theory (EFT) treatments of the nucleon-nucleon interaction. I consider $NN$ scattering in $S$-wave channels at momenta well…

Nuclear Theory · Physics 2007-05-23 D. R. Phillips

This review summarizes Effective Field Theory techniques, which are the modern theoretical tools for exploiting the existence of hierarchies of scale in a physical problem. The general theoretical framework is described, and explicitly…

High Energy Physics - Theory · Physics 2008-11-26 C. P. Burgess

The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a…

Nuclear Theory · Physics 2015-08-17 Angela Mecca , Alessandro Lovato , Omar Benhar , Artur Polls

We use two renormalization techniques, Effective Field Theory and the Similarity Renormalization Group, to solve simple Schr{\"o}dinger equations with delta-function potentials in one and two dimensions. The familiar one-dimensional…

Nuclear Theory · Physics 2007-05-23 Sergio Szpigel , Robert Perry

The effective field theory (EFT) framework is a precise approximation procedure when the inherent assumptions of a large-scale separation between the Standard Model (SM) and new interactions alongside perturbativity are realised.…

High Energy Physics - Phenomenology · Physics 2024-03-22 Upalaparna Banerjee , Joydeep Chakrabortty , Christoph Englert , Wrishik Naskar , Shakeel Ur Rahaman , Michael Spannowsky