scholarly journals Renormalization of the topological charge density in QCD with dimensional regularization

2021 ◽  
Vol 81 (6) ◽  
Author(s):  
Martin Lüscher ◽  
Peter Weisz
Keyword(s):  
Perturbation Theory ◽  
Charge Density ◽  
Topological Charge ◽  
Dimensional Regularization ◽  
Axial Current ◽  
Algebraic Properties

AbstractTo all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet axial current. The proof is based on the standard BRS analysis of the QCD vertex functional in the background gauge and exploits the special algebraic properties of the charge density through the Stora–Zumino chain of descent equations.

scholarly journals The scaling dimension of low lying Dirac eigenmodes and of the topological charge density

2005 ◽  
Vol 140 ◽  
pp. 626-628 ◽  
Author(s):  
C. Aubin ◽  
C. Bernard ◽  
Steven Gottlieb ◽  
E.B. Gregory ◽  
Urs M. Heller ◽  
...  
Keyword(s):  
Charge Density ◽  
Topological Charge ◽  
Scaling Dimension

scholarly journals Localization of topological charge density near Tc in quenched QCD with Wilson flow

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
You-Hao Zou ◽  
Jian-Bo Zhang ◽  
Guang-Yi Xiong
Keyword(s):  
Charge Density ◽  
Topological Charge

scholarly journals KAON WEAK DECAYS IN CHIRAL THEORIES

1999 ◽  
Vol 14 (19) ◽  
pp. 1273-1285 ◽  
Author(s):  
M. D. SCADRON
Keyword(s):  
Perturbation Theory ◽  
Free Parameter ◽  
Sigma Model ◽  
Axial Current ◽  
Linear Sigma Model ◽  
Pole Model ◽  
Chiral Perturbation ◽  
Weak Decays ◽  
Partial Conservation ◽  
Free Parameters

The ten nonleptonic weak decays K→2π, K→ 3π, KL→2γ, KS→2γ, KL→π02γ, are predicted for a chiral pole model based on the linear sigma model theory which automatically satisfies the partial conservation of axial current (PCAC) hypothesis. These predictions, agreeing with data to the 5% level and containing no or at most one free parameter, are compared with the results of chiral perturbation theory (ChPT). The latter ChPT approach to one-loop level is known to contain at least four free parameters and then predicts a KL→π0γγ rate which is 60% shy of the experimental value.

TRANSPORT MEASUREMENT FOR TOPOLOGICAL CHARGE DENSITY WAVES

2006 ◽  
Author(s):  
T. MATSUURA ◽  
K. INAGAKI ◽  
S. TANDA ◽  
T. TSUNETA ◽  
Y. OKAJIMA
Keyword(s):  
Charge Density ◽  
Topological Charge ◽  
Charge Density Waves ◽  
Density Waves ◽  
Transport Measurement

PROBING TOPOLOGICAL FEATURES IN PERTURBATIVE CHERN-SIMONS GAUGE THEORY

1990 ◽  
Vol 05 (23) ◽  
pp. 1833-1839 ◽  
Author(s):  
WEI CHEN ◽  
G. W. SEMENOFF ◽  
YONG-SHI WU
Keyword(s):  
Perturbation Theory ◽  
Gauge Theory ◽  
Ward Identity ◽  
Beta Function ◽  
Dimensional Regularization ◽  
Coupling Constant ◽  
Topological Features ◽  
Chern Simons

The topological Chern-Simons gauge theory is studied in the framework of perturbation theory. Both dimensional and F2 regularizations are used. We demonstrate the vanishing of the beta function up to three loops, the absence of diffeomorphism anomaly in the calculation of two- and three-point functions, and the validity of a topological Ward identity by finite renormalization of the coupling constant. The regularization dependence of the finite renormalization and an ambiguity in the dimensional regularization are also discussed.

scholarly journals Topological charge density correlator in Lattice QCD with two flavours of unimproved Wilson fermions

2012 ◽  
Vol 2012 (11) ◽  
Author(s):  
Abhishek Chowdhury ◽  
Asit K. De ◽  
A. Harindranath ◽  
Jyotirmoy Maiti ◽  
Santanu Mondal
Keyword(s):  
Charge Density ◽  
Lattice Qcd ◽  
Topological Charge ◽  
Wilson Fermions

scholarly journals Eta Prime Gluonic Contribution to the Nucleon Self-Energy in an Effective Theory

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
A. Upadhyay ◽  
J. P. Singh
Keyword(s):  
Charge Density ◽  
Topological Charge ◽  
Form Factors ◽  
Heavy Baryon ◽  
Effective Theory ◽  
Nucleon Mass ◽  
Total Contribution ◽  
Self Energy ◽  
Qcd Vacuum ◽  
The One

We estimate a possibleη′gluonic contribution to the self-energy of a nucleon in an effective theory. The couplings of the topological charge density to nucleons give rise to OZI violatingη′-nucleon interactions. The one-loop self-energy of nucleon arising due to these interactions is studied using a heavy baryon chiral perturbation theory. The divergences have been removed using appropriate form factors. The nontrivial structure of the QCD vacuum has also been taken into account. The numerical results are sensitive to the choice of the regulator to a nonnegligible extent. We get the total contribution to the nucleon mass coming from its interaction with the topological charge densityδmtot≅-(2.5–7.5)% of the nucleon mass.

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