scholarly journals Uncertainty quantification of effective nuclear interactions

2016 ◽  
Vol 25 (05) ◽  
pp. 1641009 ◽  
Author(s):  
R. Navarro Pérez ◽  
J. E. Amaro ◽  
E. Ruiz Arriola
Keyword(s):  
Field Theory ◽  
Uncertainty Quantification ◽  
Effective Field Theory ◽  
Mean Field ◽  
Effective Field ◽  
Effective Interactions ◽  
Systematic Uncertainties ◽  
Nuclear Interactions ◽  
Recent Developments

We give a brief review on the development of phenomenological NN interactions and the corresponding quantification of statistical uncertainties. We look into the uncertainty of effective interactions broadly used in mean field calculations through the Skyrme parameters and effective field theory counterterms by estimating both statistical and systematic uncertainties stemming from the NN interaction. We also comment on the role played by different fitting strategies on the light of recent developments.

scholarly journals NATURALNESS IN AN EFFECTIVE FIELD THEORY FOR NEUTRON STAR MATTER

2004 ◽  
Vol 13 (07) ◽  
pp. 1413-1418 ◽  
Author(s):  
MOISÉS RAZEIRA ◽  
CÉSAR A. Z. VASCONCELLOS
Keyword(s):  
Field Theory ◽  
Neutron Stars ◽  
Nuclear Matter ◽  
Effective Field Theory ◽  
Mean Field ◽  
Effective Field ◽  
Hadronic Matter ◽  
Model Parameters ◽  
Static Properties ◽  
Naive Dimensional Analysis

High density hadronic matter is studied in a generalized relativistic multi-baryon Lagrangian density mean field approach which contains nonlinear couplings of the σ, ω, ϱ fields. We compare the predictions of our model with estimates obtained within a phenomenological naive dimensional analysis based on the naturalness of the coefficients of the theory. Upon adjusting the model parameters to describe bulk static properties of ordinary nuclear matter, we show that our approach represents a natural modelling of nuclear matter under the extreme conditions of density as the ones found in the interior of neutron stars. Moreover, we show that naturalness play a major role in effective field theory and, in combination with experiment, could represent a relevant criterium to select a model among others in the description of global static properties of neutron stars.

scholarly journals Effective field theory and nuclear mean-field models

2000 ◽  
Vol 663-664 ◽  
pp. 513c-516c ◽  
Author(s):  
R.J. Furnstahl ◽  
Brian D. Serot
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Mean Field ◽  
Effective Field ◽  
Mean Field Models

scholarly journals Perturbative QCD at High Temperature

1997 ◽  
Vol 12 (08) ◽  
pp. 1431-1464 ◽  
Author(s):  
Agustin Nieto
Keyword(s):  
Field Theory ◽  
Free Energy ◽  
Perturbation Theory ◽  
High Temperature ◽  
Perturbative Qcd ◽  
Effective Field Theory ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Effective Field ◽  
Recent Developments

Recent developments of perturbation theory at finite temperature based on effective field theory methods are reviewed. These methods allow the contributions from the different scales to be separated and the perturbative series to be reorganized. The construction of the effective field theory is shown in detail for ϕ4 theory and QCD. It is applied to the evaluation of the free energy of QCD at order g5 and the calculation of the g6 term is outlined. Implications for the application of perturbative QCD to the quark–gluon plasma are also discussed.

scholarly journals EXOTIC QUARKONIUM SPECTROSCOPY: X(3872), Zb(10610), AND Zb(10650) IN NON-RELATIVISTIC EFFECTIVE THEORY

2014 ◽  
Vol 35 ◽  
pp. 1460431
Author(s):  
THOMAS MEHEN
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Bound States ◽  
Effective Field ◽  
Effective Theory ◽  
Recent Developments ◽  
Bottom Mesons

This talk summarizes recent developments in quarkonium spectroscopy. I comment on the relation between the Zb(10610) and Zb(10650) and recently observed Zc(3900) and Zc(4025) states. Then I discuss a number of calculations using non-relativistic effective field theory for the X(3872), Zb(10610), and Zb(10650), under the assumption that these are shallow molecular bound states of charm or bottom mesons.

scholarly journals RECENT DEVELOPMENTS IN THE NUCLEAR MANY-BODY PROBLEM

2003 ◽  
Vol 17 (28) ◽  
pp. 5111-5126 ◽  
Author(s):  
R. J. FURNSTAHL
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Body Problem ◽  
Traditional Approach ◽  
Effective Field ◽  
Analytic Structure ◽  
Many Body ◽  
Quarter Century ◽  
Theoretical Approaches ◽  
Recent Developments

The study of quantum chromodynamics (QCD) over the past quarter century has had relatively little impact on the traditional approach to the low-energy nuclear many-body problem. Recent developments are changing this situation. New experimental capabilities and theoretical approaches are opening windows into the richness of many-body phenomena in QCD. A common theme is the use of effective field theory (EFT) methods, which exploit the separation of scales in physical systems. At low energies, effective field theory can explain how existing phenomenology emerges from QCD and how to refine it systematically. More generally, the application of EFT methods to many-body problems promises insight into the analytic structure of observables, the identification of new expansion parameters, and a consistent organisation of many-body corrections, with reliable error estimates.

THE NEW MEAN FIELD RENORMALIZATION GROUP FROM EFFECTIVE FIELD THEORY

1995 ◽  
Vol 09 (24) ◽  
pp. 1617-1621 ◽  
Author(s):  
F. O. COELHO ◽  
J. A. PLASCAK
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Effective Field Theory ◽  
Order Parameter ◽  
Mean Field ◽  
Previous Treatment ◽  
Field Approximation ◽  
Effective Field ◽  
Mean Field Approximation ◽  
Field Renormalization

The new mean field renormalization group is used to study the Ising model through the calculation of the order parameter by means of the effective field theory based on Callen–Suzuki identity. By considering one- and two-spin clusters, better results are obtained when compared to the previous treatment using the usual mean field approximation.

Sign in / Sign up

Export Citation Format

Share Document