scholarly journals Skyrme pseudopotentials at next-to-next-to-leading order: Construction of local densities and first symmetry-breaking calculations

2021 ◽  
Vol 104 (4) ◽  
Author(s):  
Wouter Ryssens ◽  
Michael Bender
Keyword(s):  
Symmetry Breaking ◽  
Leading Order ◽  
Local Densities

scholarly journals SPIN STRUCTURE OF THE PROTON

1995 ◽  
Vol 10 (23) ◽  
pp. 1659-1666
Author(s):  
CHUNG-YI WU
Keyword(s):  
Symmetry Breaking ◽  
Spin Structure ◽  
Flavor Symmetry ◽  
Leading Order ◽  
Intrinsic Polarization

By assuming that there is no significant intrinsic polarization of the gluon, we have computed the polarized quark contributions to the proton’s spin under SU(3) flavor symmetry breaking for the polarized sea and have performed a global leading-order QCD fit to obtain the spin-dependent quark distributions, which could be used as input for analyzing lepton-hadron and hadron-hadron collisions.

scholarly journals APPROACH TO D-DIMENSIONAL GROSS–NEVEU MODEL AT FINITE TEMPERATURE AND CURVATURE

1996 ◽  
Vol 11 (10) ◽  
pp. 785-793 ◽  
Author(s):  
SHINYA KANEMURA ◽  
HARU-TADA SATO
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Finite Temperature ◽  
Phase Structure ◽  
Critical Line ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Third Order ◽  
Gross Neveu Model

We discuss phase structure of chiral symmetry breaking of the D-dimensional (2≤D≤3) Gross–Neveu model at finite temperature, density and constant curvature. We evaluate the effective potential in a weak background approximation to thermalize the model as well as in the leading order of the 1/N-expansion. A third-order critical line is observed similarly to the D=2 case.

CHARGE SYMMETRY BREAKING IN pn → dπ0

2011 ◽  
Vol 26 (03n04) ◽  
pp. 592-594
Author(s):  
ARSENIY A. FILIN
Keyword(s):  
Symmetry Breaking ◽  
Cross Section ◽  
Mass Difference ◽  
Leading Order ◽  
Charge Symmetry Breaking ◽  
Chiral Perturbation ◽  
Charge Symmetry ◽  
Sum Rule ◽  
Proton Mass ◽  
Complete Calculation

We study charge symmetry breaking (CSB) in the reaction pn → dπ0. CSB manifests itself in a forward-backward asymmetry of the differential cross section measured recently at TRIUMF. A complete calculation of CSB effects at leading order in chiral perturbation theory is performed. A new leading-order operator is included. This allows us to extract the strong contribution to the neutron-proton mass difference from the analysis. The value obtained is consistent with the result of Gasser and Leutwyler based on the Cottingham sum rule and with an extraction from lattice QCD.

scholarly journals Supersymmetric Nambu–Jona-Lasinio Model in an External Gravitational Field

1997 ◽  
Vol 12 (30) ◽  
pp. 2271-2277 ◽  
Author(s):  
I. L. Buchbinder ◽  
T. Inagaki ◽  
S. D. Odintsov
Keyword(s):  
Gravitational Field ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Gravitational Fields ◽  
External Gravitational Field ◽  
Njl Model ◽  
Curvature Approximation

We investigate the effect of an external gravitational fields to the chiral symmetry breaking in the supersymmetric (SUSY) Nambu–Jona-Lasinio (NJL) model coupled to gravity in a non-supersymmetric way. Evaluating the effective potential in the leading order of the 1/Nc-expansion and in the linear curvature approximation, it is possible to have the chiral symmetry breaking in the SUSY NJL model in an external gravitational fields. In the broken phase the dynamically generated mass is analytically and numerically calculated.

scholarly journals Non-Abelian anomalous constitutive relations of a chiral hadronic fluid

2022 ◽  
Vol 258 ◽  
pp. 10006
Author(s):  
Juan L. Mañes ◽  
Eugenio Megías ◽  
Manuel Valle ◽  
Miguel Á. Vázquez-Mozo
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Constitutive Relations ◽  
Leading Order ◽  
First Order ◽  
Quark Flavors ◽  
Analytical Expressions ◽  
Symmetric Phase

We study the constitutive relations of a chiral hadronic fluid in presence of non-Abelian’t Hooft anomalies. Analytical expressions for the covariant currents are obtained at first order in derivatives in the chiral symmetric phase, for both two and three quark flavors in the presence of chiral imbalance. We also investigate the constitutive relations after chiral symmetry breaking at the leading order.

scholarly journals Entanglement Entropy and Quantum Phase Transition in the O(N) σ-model

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Jiunn-Wei Chen ◽  
Shou-Huang Dai ◽  
Jin-Yi Pang
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Quantum Phase Transition ◽  
Entanglement Entropy ◽  
Quantum Phase ◽  
Leading Order ◽  
Coupling Constant ◽  
Area Law ◽  
Conformal Scalar Field

Abstract We investigate how entanglement entropy behaves in a non-conformal scalar field system with a quantum phase transition, by the replica method. We study the σ-model in 3+1 dimensions which is O(N) symmetric as the mass squared parameter μ2 is positive, and undergoes spontaneous symmetry breaking while μ2 becomes negative. The area law leading divergence of the entanglement entropy is preserved in both of the symmetric and the broken phases. The spontaneous symmetry breaking changes the subleading divergence from log to log squared, due to the cubic interaction on the cone. At the leading order of the coupling constant expansion, the entanglement entropy reaches a cusped maximum at the quantum phase transition point μ2 = 0, and decreases while μ2 is tuned away from 0 into either phase.

scholarly journals SPECTRUM AND DECAYS OF HADRONIC ATOMS

2005 ◽  
Vol 20 (02n03) ◽  
pp. 358-364 ◽  
Author(s):  
JULIA SCHWEIZER
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Effective Field Theory ◽  
Ground State ◽  
Effective Field ◽  
Isospin Symmetry ◽  
Leading Order ◽  
Isospin Symmetry Breaking ◽  
Hadronic Atoms

We describe the spectra and decays of π+π-and π±K∓atoms within a non-relativistic effective field theory. The evaluations of the energy shifts and widths are performed at next-to-leading order in isospin symmetry breaking. The prediction for the lifetime of the π±K∓atom in its ground-state yields τ10=(3.7±0.4)·10-15s .

scholarly journals Direct CP Violation from Isospin Symmetry Breaking Effects for the Decay Process B-s→P(V)π0 in PQCD

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
Gang Lü ◽  
Qin-Qin Zhi
Keyword(s):  
Cp Violation ◽  
Symmetry Breaking ◽  
Quark Mass ◽  
Mass Difference ◽  
Electroweak Interaction ◽  
Decay Process ◽  
Isospin Symmetry ◽  
Leading Order ◽  
Factorization Approach ◽  
Isospin Symmetry Breaking

We investigate the direct CP violation for the decay process of B-s→P(V)π0 (P,V refer to the pseudoscalar meson and vector meson, resp.) via isospin symmetry breaking effects from the π0-η-η′ mixing mechanism in PQCD factorization approach. Isospin symmetry breaking arises from the electroweak interaction and the u-d quark mass difference by the strong interaction, which are known to be tiny. However, we find that isospin symmetry breaking at the leading order shifts the CP violation due to the new strong phases.

scholarly journals Constraints on the $$\varLambda $$-Neutron Interaction from Charge Symmetry Breaking in the $$\mathbf {^4_\Lambda \mathrm{He}}$$ - $$\mathbf {^4_\Lambda \mathrm{H}}$$ Hypernuclei

2021 ◽  
Vol 62 (4) ◽  
Author(s):  
Johann Haidenbauer ◽  
Ulf-G. Meißner ◽  
Andreas Nogga
Keyword(s):  
Symmetry Breaking ◽  
Effective Field ◽  
Scattering Data ◽  
Leading Order ◽  
Nucleon Interaction ◽  
Charge Symmetry Breaking ◽  
Chiral Effective Field Theory ◽  
Charge Symmetry ◽  
Neutron Interaction ◽  
Scattering Lengths

AbstractWe utilize the experimentally known difference of the $$\varLambda $$ Λ separation energies of the mirror hypernuclei $${^4_\varLambda \mathrm{He}}$$ Λ 4 He and $${^4_\varLambda \mathrm{H}}$$ Λ 4 H to constrain the $$\varLambda $$ Λ -neutron interaction. We include the leading charge-symmetry breaking (CSB) interaction into our hyperon-nucleon interaction derived within chiral effective field theory at next-to-leading order. In particular, we determine the strength of the two arising CSB contact terms by a fit to the differences of the separation energies of these hypernuclei in the $$0^+$$ 0 + and $$1^+$$ 1 + states, respectively. By construction, the resulting interaction describes all low energy hyperon-nucleon scattering data, the hypertriton and the CSB in $${^4_\varLambda \mathrm{He}}$$ Λ 4 He -$${^4_\varLambda \mathrm{H}}$$ Λ 4 H accurately. This allows us to provide first predictions for the $$\varLambda $$ Λ n scattering lengths, based solely on available hypernuclear data.

Symmetry-breaking for leading order gradient maps in R2with applications to O(3)

Nonlinearity ◽  
1994 ◽  
Vol 7 (2) ◽  
pp. 577-594 ◽  
Author(s):  
V G LeBlanc ◽  
A Lari-Lavassani ◽  
W F Langford
Keyword(s):  
Symmetry Breaking ◽  
Leading Order
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