# QCD determination of the magnetic field dependence of QCD and hadronic parameters

@article{Dominguez2018QCDDO, title={QCD determination of the magnetic field dependence of QCD and hadronic parameters}, author={Cesareo A. Dominguez and Marcelo Loewe and C. N{\'u}{\~n}ez de Villavicencio}, journal={Physical Review D}, year={2018} }

A set of four Finite Energy QCD sum rules are used to determine the magnetic field dependence of the sum of the up- and down-quark masses of QCD, $(m_u + m_d)$, the pion decay constant $f_\pi$, the pion mass $m_\pi$, the gluon condensate, $\langle 0| \alpha_s\, G^2|0\rangle$, and the squared energy threshold for the onset of perturbative QCD, $s_0$, related to the Polyakov loop of lattice QCD.

## Figures from this paper

## 7 Citations

Magnetic field dependence of nucleon parameters from QCD sum rules

- Physics
- 2020

Finite energy QCD sum rules involving nucleon current correlators are used to determine several QCD and hadronic parameters in the presence of an external, uniform, large magnetic field. The…

Magnetic effects of QCD parameters from fnite energy sum rules

- Physics
- 2020

One of the advantages of the fnite energy sum rules is the fact that every operator in the operator product expansion series can be selected individually by the use of an appropriate kernel function…

Neutral and charged pion properties under strong magnetic fields in the NJL model

- PhysicsPhysical Review D
- 2019

In the framework of the Nambu--Jona-Lasino (NJL) model, we study the effect of an intense external uniform magnetic field on neutral and charged pion masses and decay form factors. In particular, the…

Magnetic renormalons in a scalar self-interacting
λϕ4
theory

- PhysicsPhysical Review D
- 2019

We present an analysis about the influence of an external magnetic field on renormalons in a self interacting theory $\lambda \phi ^{4}$. In the weak magnetic field region, using an appropriate…

Diquarks and nucleons under strong magnetic fields in the NJL model

- Physics
- 2020

We study the description of nucleons and diquarks in the presence of a uniform strong magnetic field within the framework of the two-flavor Nambu-Jona--Lasinio (NJL) model. Diquarks are constructed…

Light pseudoscalar meson masses under strong magnetic fields within the SU(3) Nambu–Jona-Lasinio model

- PhysicsPhysical Review D
- 2021

We calculate the pole masses of pseudoscalar mesons in a strongly magnetized medium within the framework of the SU(3) Nambu-Jona–Lasinio model, using a magnetic fieldindependent regularization…

Light mesons around critical end points in $T-\mu_B-\mu_I-eB$ space

- Physics
- 2021

Light mesons (σ, π0, π±) are investigated in T − μB − μI − eB space by using a two-flavor NJL model, which are related to the chiral symmetry restoration and pion superfluid phase transition. In T −…

## References

SHOWING 1-10 OF 55 REFERENCES

Determination of the temperature dependence of the up- and down-quark masses in QCD

- Physics
- 2016

The temperature dependence of the sum of the QCD up- and down-quark masses, (mu+md) and the pion decay constant, fπ, are determined from two thermal finite energy QCD sum rules for the…

Finite Temperature QCD Sum Rules: a Review

- Physics
- 2016

The method of QCD sum rules at finite temperature is reviewed, with emphasis on recent results. These include predictions for the survival of charmonium and bottonium states, at and beyond the…

QCD quark condensate in external magnetic fields

- Physics
- 2012

We present a comprehensive analysis of the light condensates in QCD with $1+1+1$ sea quark flavors (with mass-degenerate light quarks of different electric charges) at zero and nonzero temperatures…

Quark mass determinations in QCD

- Physics
- 2014

Recent progress on QCD sum rule determinations of the light and heavy quark masses is reported. In the light quark sector a major breakthrough has been made recently in connection with the historical…

Analysis of the QCD spectrum and chiral symmetry breaking with varying quark masses

- Physics
- 2013

The meson spectrum of QCD is studied in the framework of nonperturbative QCD as a function of varying quark masses mq. It is shown that the total spectrum consists of two branches: 1) the standard…

Quark deconfinement and gluon condensate in a weak magnetic field from QCD sum rules

- Physics
- 2015

We study QCD finite energy sum rules (FESR) for the axial-vector current correlator in the presence of a magnetic field, in the weak field limit and at zero temperature. We find that the perturbative…

Up- and down-quark masses from finite-energy QCD sum rules to five loops

- Physics
- 2009

The up- and down-quark masses are determined from an optimized QCD finite-energy sum rule involving the correlator of axial-vector divergences, to five-loop order in perturbative QCD, and including…

Gauge invariant field strength correlators in pure Yang-Mills and full QCD at finite temperature

- Physics
- 2003

We study by numerical simulations on a lattice the behaviour of the
gauge-invariant two-point correlation functions of the gauge-field strengths
across the deconfinement phase transition, both for…

Bottonium in QCD at finite temperature

- Physics
- 2013

Vector ($\Upsilon$) and pseudoscalar ($\eta_b$) bottonium ground states are studied at finite temperature in the framework of thermal Hilbert moment QCD sum rules. The mass, the onset of perturbative…