Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.9
2.7
Journals
Symmetry
Special Issues
Effective Field Theories - Chiral Perturbation Theory and Non-relativistic QFT
share announcement

Effective Field Theories - Chiral Perturbation Theory and Non-relativistic QFT

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (1 July 2021) | Viewed by 11638

Special Issue Editors

Dr. Jacobo Ruiz de Elvira

E-Mail Website
Guest Editor
Institute for Theoretical Physics, University of Bern, Bern, Switzerland
Interests: low-energy hadron physics; effective field theories; dispersion relations
Special Issues, Collections and Topics in MDPI journals
Dr. Miguel Albaladejo

E-Mail
Guest Editor
Jefferson Lab
Interests: hadron spectrum; effective field theories; amplitude analysis

Special Issue Information

Dear colleagues,

Effective field theories (EFTs) allow one to study underlying dynamics through effective Lagrangians.  They are constructed as the most general expansion consistent with fundamental symmetries to analyze a specific range of energies from a power counting based on the scale separation. One of the most notable examples is Chiral Perturbation Theory (ChPT), the EFT of QCD at low energies, that provides a framework for non-perturbative calculations of strong interactions. ChPT is based on the spontaneous and explicit chiral symmetry breaking and it offers an extraordinary tool to obtain precise determination of some of the most relevant low-energy QCD parameters. Another important example, sitting in the opposite limit, is that of Heavy Quark Spin Symmetry (HQSS) which allows one to access, through an EFT, to the interactions in heavier sectors of the hadron spectrum.

In addition, it has become clear in recent years that the predictive power of EFTs can be greatly increased by combining them with dispersive techniques and lattice QCD. On the one hand, dispersion relations exploit general principles such as analyticity, unitarity and crossing symmetry to arrive to representations that constrain the energy dependence of various observables. On the other hand, lattice QCD, the discretized version of strong interactions in the Euclidean space time, provides a non-perturbative tool for calculating hadron properties in a finite volume from first principles. The combination of Lattice QCD, dispersion relations and EFTs is one of the most promising ways to address some of the still open questions in low-energy Hadron Physics. 

Dr. Jacobo Ruiz de Elvira
Dr. Miguel Albaladejo
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Low-energy QCD
  • Chiral Perturbation Theory and dispersive techniques
  • Lattice QCD calculations of low-energy parameters
  • Meson-meson and meson-baryon interactions
  • Anomalous magnetic moment of the muon
  • Rare kaon decays and CP violations
  • Isospin breaking corrections
  • Spectroscopy of exotic hadrons
  • Few-body physics
  • Heavy-quark spin symmetry

Published Papers (5 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

Jump to: Review

22 pages, 581 KiB  
Article
The K¯N Interaction in Higher Partial Waves
by Albert Feijoo, Daniel Gazda, Volodymyr Magas and Àngels Ramos
Symmetry 2021, 13(8), 1434; https://0-doi-org.brum.beds.ac.uk/10.3390/sym13081434 - 05 Aug 2021
Cited by 6 | Viewed by 1790
Abstract
We present a chiral K¯N interaction model that has been developed and optimized in order to account for the experimental data of inelastic K¯N reaction channels that open at higher energies. In particular, we study the effect of the [...] Read more.
We present a chiral K¯N interaction model that has been developed and optimized in order to account for the experimental data of inelastic K¯N reaction channels that open at higher energies. In particular, we study the effect of the higher partial waves, which originate directly from the chiral Lagrangian, as they could supersede the role of high-spin resonances employed in earlier phenomenological models to describe meson-baryon cross sections in the 2 GeV region. We present a detailed derivation of the partial wave amplitudes that emerge from the chiral SU(3) meson-baryon Lagrangian up to the d-waves and next-to-leading order in the chiral expansion. We implement a nonperturbative unitarization in coupled channels and optimize the model parameters to a large pool of experimental data in the relevant energy range where these new contributions are expected to be important. The obtained results are encouraging. They indicate the ability of the chiral higher partial waves to extend the description of the scattering data to higher energies and to account for structures in the reaction cross-sections that cannot be accommodated by theoretical models limited to the s-waves. Full article
(This article belongs to the Special Issue Effective Field Theories - Chiral Perturbation Theory and Non-relativistic QFT)
►▼ Show Figures

Figure 1

43 pages, 620 KiB  
Article
Unitarization Technics in Hadron Physics with Historical Remarks
by José Antonio Oller
Symmetry 2020, 12(7), 1114; https://0-doi-org.brum.beds.ac.uk/10.3390/sym12071114 - 03 Jul 2020
Cited by 38 | Viewed by 2260
Abstract
We review a series of unitarization techniques that have been used during the last decades, many of them in connection with the advent and development of current algebra and later of Chiral Perturbation Theory. Several methods are discussed like the generalized effective-range expansion, [...] Read more.
We review a series of unitarization techniques that have been used during the last decades, many of them in connection with the advent and development of current algebra and later of Chiral Perturbation Theory. Several methods are discussed like the generalized effective-range expansion, K-matrix approach, Inverse Amplitude Method, Padé approximants and the N / D method. More details are given for the latter though. We also consider how to implement them in order to correct by final-state interactions. In connection with this some other methods are also introduced like the expansion of the inverse of the form factor, the Omnés solution, generalization to coupled channels and the Khuri-Treiman formalism, among others. Full article
(This article belongs to the Special Issue Effective Field Theories - Chiral Perturbation Theory and Non-relativistic QFT)
►▼ Show Figures

Figure 1

Review

Jump to: Research

27 pages, 12091 KiB  
Review
Nucleon Polarizabilities and Compton Scattering as Playground for Chiral Perturbation Theory
by Franziska Hagelstein
Symmetry 2020, 12(9), 1407; https://0-doi-org.brum.beds.ac.uk/10.3390/sym12091407 - 24 Aug 2020
Cited by 6 | Viewed by 1929
Abstract
I give a summary of recent results on nucleon polarizabilities, with emphasis on chiral perturbation theory. The predictive calculations of Compton scattering off the nucleon are compared to recent empirical determinations and lattice QCD calculations of the polarizabilities, thereby testing chiral perturbation theory [...] Read more.
I give a summary of recent results on nucleon polarizabilities, with emphasis on chiral perturbation theory. The predictive calculations of Compton scattering off the nucleon are compared to recent empirical determinations and lattice QCD calculations of the polarizabilities, thereby testing chiral perturbation theory in the single-baryon sector. Full article
(This article belongs to the Special Issue Effective Field Theories - Chiral Perturbation Theory and Non-relativistic QFT)
►▼ Show Figures

Figure 1

11 pages, 308 KiB  
Review
Chiral Perturbation Theory at NNNLO
by Nils Hermansson-Truedsson
Symmetry 2020, 12(8), 1262; https://0-doi-org.brum.beds.ac.uk/10.3390/sym12081262 - 30 Jul 2020
Cited by 4 | Viewed by 2132
Abstract
Chiral perturbation theory is a much successful effective field theory of quantum chromodynamics at low energies. The effective Lagrangian is constructed systematically order by order in powers of the momentum p2, and until now the leading order (LO), next-to leading order [...] Read more.
Chiral perturbation theory is a much successful effective field theory of quantum chromodynamics at low energies. The effective Lagrangian is constructed systematically order by order in powers of the momentum p2, and until now the leading order (LO), next-to leading order (NLO), next-to-next-to leading order (NNLO) and next-to-next-to-next-to leading order (NNNLO) have been studied. In the following review we consider the construction of the Lagrangian and in particular focus on the NNNLO case. We in addition review and discuss the pion mass and decay constant at the same order, which are fundamental quantities to study for chiral perturbation theory. Due to the large number of terms in the Lagrangian and hence low energy constants arising at NNNLO, some remarks are made about the predictivity of this effective field theory. Full article
(This article belongs to the Special Issue Effective Field Theories - Chiral Perturbation Theory and Non-relativistic QFT)
►▼ Show Figures

Figure 1

34 pages, 1839 KiB  
Review
Aspects on Effective Theories and the QCD Transition
by Angel Gómez Nicola
Symmetry 2020, 12(6), 945; https://0-doi-org.brum.beds.ac.uk/10.3390/sym12060945 - 03 Jun 2020
Cited by 5 | Viewed by 2786
Abstract
We review recent advances in the understanding of the Quantum Chromodynamics (QCD) transition and its nature, paying special attention to the analysis of chiral symmetry restoration within different approaches based on effective theories. After presenting some of the main aspects of the current [...] Read more.
We review recent advances in the understanding of the Quantum Chromodynamics (QCD) transition and its nature, paying special attention to the analysis of chiral symmetry restoration within different approaches based on effective theories. After presenting some of the main aspects of the current knowledge of the phase diagram from the theoretical, experimental and lattice sides, we discuss some recent problems where approaches relying on effective theories have been particularly useful. In particular, the combination of ideas such as Chiral Perturbation Theory, unitarity and Ward Identities allows us to describe successfully several observables of interest. This is particularly relevant for quantities expected to be dominated by the light meson components of the hadron gas such as the scalar and topological susceptibilities. In addition, ward identities and effective Lagrangians provide systematic results regarding chiral and U ( 1 ) A partner degeneration properties which are of great importance for the interplay between those two transitions and the nature of chiral symmetry restoration. Special attention is paid to the connection of this theoretical framework with lattice simulations. Full article
(This article belongs to the Special Issue Effective Field Theories - Chiral Perturbation Theory and Non-relativistic QFT)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-5
Back to TopTop