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I describe recent progress towards a theory of the NN force which captures the consequences of QCD's chiral symmetry and the pattern of its breaking, and is formulated as an expansion in a ratio of low and high mass scales, M_{lo}/M_{hi}.…

Nuclear Theory · Physics 2013-02-26 Daniel R. Phillips

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

We study the long wavelength limit of a spin 1/2 Heisenberg antiferromagnetic two-leg ladder, treating the interchain coupling in a non-perturbative way. We perform a mean field analysis and then include exactly the fluctuations. This…

Strongly Correlated Electrons · Physics 2009-10-31 D. C. Cabra , A. Dobry , G. L. Rossini

We discuss the effective field theory (EFT) for nuclear beta decay. The general quark-level EFT describing charged-current interactions between quarks and leptons is matched to the nucleon-level non-relativistic EFT at the O(MeV) momentum…

High Energy Physics - Phenomenology · Physics 2024-04-29 Adam Falkowski , Martín González-Alonso , Ajdin Palavrić , Antonio Rodríguez-Sánchez

Working within the post-Newtonian (PN) approximation to General Relativity, we use the effective field theory (EFT) framework to study the conservative dynamics of the two-body motion at fourth PN order, at fifth order in the Newton…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Stefano Foffa , Pierpaolo Mastrolia , Riccardo Sturani , Christian Sturm

Chiral perturbation theory (CPT), the low-energy effective theory of QCD, can be used to describe QCD observables in the low-energy region in a model-independent way. At any given order in the chiral expansion, CPT introduces a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Daniel Arndt

The five low-energy constants (LECs) in the electromagnetic current derived in chiral effective field theory ($\chi$EFT) up to one loop are determined by a simultaneous fit to the $A\,$=$\,2$--3 nuclei magnetic moments and to the deuteron…

Nuclear Theory · Physics 2022-10-19 Alex Gnech , Rocco Schiavilla

The Effective Field Theory of Large-Scale Structure (EFTofLSS) attempts to amend some of the shortcomings of the traditional perturbative methods used in cosmology. It models the evolution of long-wavelength perturbations above a cutoff…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-15 Mandar Karandikar , Cristiano Porciani , Oliver Hahn

Within density-functional theory, perturbation theory~(PT) is the state-of-the-art formalism for assessing the response to homogeneous electric fields and the associated material properties, e.g., polarizabilities, dielectric constants, and…

I give a taste of recent progress in using chiral perturbation theory to understand nucleon and deuteron structure.

Nuclear Theory · Physics 2017-08-23 Silas R. Beane

We calculate the second-order corrections to the atomic energy level shifts in ordinary and muonic deuterium due to virtual excitations of the deuteron which are important for ongoing and planned precise experiments in these systems. For…

Nuclear Theory · Physics 2009-10-22 Yang Lu , R. Rosenfelder

We show that the direction of renormalization in effective field theory is constrained by fundamental principles in the infrared$\unicode{x2014}$unitarity, analyticity, and Lorentz invariance. Our theorem, in the spirit of the $a$-theorem…

High Energy Physics - Phenomenology · Physics 2025-05-07 You-Peng Liao , Jasper Roosmale Nepveu , Chia-Hsien Shen

We study the $SU(2)$ Principal Chiral Model (PCM) in the presence of an integrable $\eta$-deformation. We put the theory on $\mathbb{R}\times S^1$ with twisted boundary conditions and then reduce the circle to obtain an effective quantum…

High Energy Physics - Theory · Physics 2016-08-24 Saskia Demulder , Daniele Dorigoni , Daniel C. Thompson

The order of the chiral phase transition in two-color and two-flavor QC$_2$D is investigated using the functional renormalization group (FRG) technique in an effective model setting. We calculate the $\beta$ function of all couplings in the…

High Energy Physics - Phenomenology · Physics 2025-04-25 G. Fejos , D. Suenaga

The decays $K_L \to \gamma\gamma$ and $K_L \to \ell^+ \ell^- \gamma$ are studied at the leading order $p^6$ in Chiral Perturbation Theory. One-loop contributions stemming from the odd intrinsic parity $|\Delta S| = 1$ effective Lagrangian…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. L. Goity , Longzhe Zhang

We discuss shallow resonances in the nonrelativistic scattering of two particles using an effective field theory (EFT) that includes an auxiliary field with the quantum numbers of the resonance. We construct the manifestly renormalized…

High Energy Physics - Phenomenology · Physics 2021-06-15 J. B. Habashi , S. Fleming , U. van Kolck

The neutron-matter equation of state constrains the properties of many physical systems over a wide density range and can be studied systematically using chiral effective field theory (EFT). In chiral EFT, all many-body forces among…

Nuclear Theory · Physics 2013-08-13 T. Krüger , I. Tews , K. Hebeler , A. Schwenk

Effective Field Theory (EFT) extensions of the Standard Model are tools to compute observables $\big(e.g.$ cross sections with partonic center-of-mass energy $\sqrt{\hat{s}}\,\big)$ as a systematically improvable expansion suppressed by a…

High Energy Physics - Phenomenology · Physics 2022-06-07 Timothy Cohen , Joel Doss , Xiaochuan Lu

According to recent arguments by the author, the conformal field theory (CFT) describing the scaling limit of the integer quantum Hall plateau transition is a deformed level-4 Wess-Zumino-Novikov-Witten model with Riemannian target space…

Mathematical Physics · Physics 2021-07-27 Martin R. Zirnbauer

In this paper, we investigate the partition functions of conformal field theories (CFTs) with the $T\bar{T}$ deformation on a torus in terms of the perturbative QFT approach. In Lagrangian path integral formalism, the first- and…

High Energy Physics - Theory · Physics 2021-09-29 Song He , Yuan Sun , Yu-Xuan Zhang