scholarly journals Nucleon Polarizabilities and Compton Scattering as Playground for Chiral Perturbation Theory

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1407 ◽  
Author(s):  
Franziska Hagelstein
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Compton Scattering ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation

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.

scholarly journals Nucleon’s energy–momentum tensor form factors in light-cone QCD

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
K. Azizi ◽  
U. Özdem
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Chiral Perturbation Theory ◽  
Light Cone ◽  
Energy Momentum Tensor ◽  
Form Factors ◽  
Momentum Tensor ◽  
Tensor Form ◽  
Chiral Perturbation ◽  
Theoretical Predictions

Abstract We use the energy–momentum tensor (EMT) current to compute the EMT form factors of the nucleon in the framework of the light cone QCD sum rule formalism. In the calculations, we employ the most general form of the nucleon’s interpolating field and use the distribution amplitudes (DAs) of the nucleon with two sets of the numerical values of the main input parameters entering the expressions of the DAs. The directly obtained results from the sum rules for the form factors are reliable at $$ Q^2\ge 1$$Q2≥1 GeV$$^2 $$2: to extrapolate the results to include the zero momentum transfer squared with the aim of estimation of the related static physical quantities, we use some fit functions for the form factors. The numerical computations show that the energy–momentum tensor form factors of the nucleon can be well fitted to the multipole fit form. We compare the results obtained for the form factors at $$ Q^2=0 $$Q2=0 with the existing theoretical predictions as well as experimental data on the gravitational form factor d$$_1^q(0)$$1q(0). For the form factors M$$_2^q (0)$$2q(0) and J$$^q(0)$$q(0) a consistency among the theoretical predictions is seen within the errors: our results are nicely consistent with the Lattice QCD and chiral perturbation theory predictions. However, there are large discrepancies among the theoretical predictions on d$$_1^q(0)$$1q(0). Nevertheless, our prediction is in accord with the JLab data as well as with the results of the Lattice QCD, chiral perturbation theory and KM15-fit. Our fit functions well define most of the JLab data in the interval $$ Q^2\in [0,0.4]$$Q2∈[0,0.4] GeV$$^2 $$2, while the Lattice results suffer from large uncertainties in this region. As a by-product, some mechanical properties of the nucleon like the pressure and energy density at the center of nucleon as well as its mechanical radius are also calculated and their results are compared with other existing theoretical predictions.

scholarly journals The nucleon mass in Nf=2 lattice QCD: finite size effects from chiral perturbation theory

2004 ◽  
Vol 689 (3) ◽  
pp. 175-194 ◽  
Author(s):  
A. Ali Khan ◽  
T. Bakeyev ◽  
M. Göckeler ◽  
T.R. Hemmert ◽  
R. Horsley ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Chiral Perturbation Theory ◽  
Size Effects ◽  
Finite Size ◽  
Nucleon Mass ◽  
Chiral Perturbation ◽  
Finite Size Effects

scholarly journals The Leutwyler–Smilga relation on the lattice

2019 ◽  
Vol 35 (01) ◽  
pp. 1950346 ◽  
Author(s):  
Gernot Münster ◽  
Raimar Wulkenhaar
Keyword(s):  
Perturbation Theory ◽  
Quantum Chromodynamics ◽  
Lattice Qcd ◽  
Chiral Perturbation Theory ◽  
Effective Action ◽  
Lattice Spacing ◽  
Chiral Perturbation ◽  
Quark Masses

According to the Leutwyler–Smilga relation, in Quantum Chromodynamics (QCD), the topological susceptibility vanishes linearly with the quark masses. Calculations of the topological susceptibility in the context of lattice QCD, extrapolated to zero quark masses, show a remnant nonzero value as a lattice artefact. Employing the Atiyah–Singer theorem in the framework of Symanzik’s effective action and chiral perturbation theory, we show the validity of the Leutwyler–Smilga relation in lattice QCD with lattice artefacts of order a2 in the lattice spacing a.

scholarly journals Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to

2005 ◽  
Vol 747 (2-4) ◽  
pp. 311-361 ◽  
Author(s):  
S.R. Beane ◽  
M. Malheiro ◽  
J.A. McGovern ◽  
D.R. Phillips ◽  
U. van Kolck
Keyword(s):  
Perturbation Theory ◽  
Compton Scattering ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation

scholarly journals Virtual Compton scattering off the nucleon in chiral perturbation theory

1997 ◽  
Vol 55 (5) ◽  
pp. 2630-2643 ◽  
Author(s):  
Thomas R. Hemmert ◽  
Barry R. Holstein ◽  
Germar Knöchlein ◽  
Stefan Scherer
Keyword(s):  
Perturbation Theory ◽  
Compton Scattering ◽  
Chiral Perturbation Theory ◽  
Virtual Compton Scattering ◽  
Chiral Perturbation

The $\bar B \bar B$ strong interaction with chiral perturbation theory

2014 ◽  
Vol 29 ◽  
pp. 1460225
Author(s):  
Zhan-Wei Liu ◽  
Ning Li ◽  
Shi-Lin Zhu
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Strong Interaction ◽  
Chiral Perturbation Theory ◽  
Heavy Meson ◽  
Chiral Perturbation ◽  
Interaction Potentials ◽  
The One

We study the strong interaction potentials of [Formula: see text] up to order [Formula: see text] with the heavy meson chiral perturbation theory. Besides the leading contributions from the contact terms we also consider the one-loop corrections to the contact diagrams and the contributions from the 2ϕ-exchange diagrams. Hopefully, the analytical structures of our result will be helpful in the extrapolation of the relevant heavy meson interaction in the lattice QCD simulation.

scholarly journals Quark, pion and axial condensates in three-flavor finite isospin chiral perturbation theory

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen ◽  
Martin A. Mojahed
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Chiral Perturbation Theory ◽  
Strange Quark ◽  
Chemical Potential ◽  
Light Quark ◽  
Quark Condensate ◽  
Lattice Data ◽  
Chiral Perturbation ◽  
Good Agreement

AbstractWe calculate the light-quark condensate, the strange-quark condensate, the pion condensate, and the axial condensate in three-flavor chiral perturbation theory ($$\chi $$ χ PT) in the presence of an isospin chemical potential at next-to-leading order at zero temperature. It is shown that the three-flavor $$\chi $$ χ PT effective potential and condensates can be mapped onto two-flavor $$\chi $$ χ PT ones by integrating out mesons with strange-quark content (kaons and eta), with renormalized couplings. We compare the results for the light-quark and pion condensates at finite pseudoscalar source with ($$2+1$$ 2 + 1 )-flavor lattice QCD, and we also compare the axial condensate at zero pseudoscalar and axial sources with lattice QCD data. We find that the light-quark, pion, and axial condensates are in very good agreement with lattice data. There is an overall improvement by including NLO effects.

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