scholarly journals The infinite mass limit of the two-particle Green function in QED

1997 ◽  
Vol 23 (8) ◽  
pp. 875-883
Author(s):  
H Jallouli ◽  
H Sazdjian
Keyword(s):  
Green Function ◽  
Mass Limit ◽  
Infinite Mass

scholarly journals Medium evolution of a static quark-antiquark pair in the large Nc limit

2022 ◽  
Vol 258 ◽  
pp. 05006
Author(s):  
Miguel Ángel Escobedo
Keyword(s):  
Effective Field Theories ◽  
Phenomenological Models ◽  
Effective Field ◽  
Field Theories ◽  
Mass Limit ◽  
Future Developments ◽  
Infinite Mass ◽  
Thermal Medium ◽  
Different Color ◽  
Static Quark

We study the transitions between the different color states of a static quark-antiquark pair, singlet and octet, in a thermal medium. This is done non-perturbatively exploiting the infinite mass limit of QCD. This study is interesting because it can be used for future developments within the framework of Effective Field Theories (EFTs) and because it can be combined with other techniques, like lattice QCD or AdS/CFT, to gain non-perturbative information about the evolution of quarkonium in a medium. We also study the obtained expressions in the large Nc limit. This allows us to learn lessons that are useful to simplify phenomenological models of quarkonium in a plasma.

Static and dynamic properties of heavy light mesons in infinite mass limit

Pramana ◽  
1996 ◽  
Vol 46 (5) ◽  
pp. 349-355 ◽  
Author(s):  
D K Choudhury ◽  
Pratibha Das
Keyword(s):  
Dynamic Properties ◽  
Mass Limit ◽  
Infinite Mass ◽  
Light Mesons

Uraltsev's and other sum rules, theory and phenomenology of D**'s

2015 ◽  
Vol 30 (10) ◽  
pp. 1543009 ◽  
Author(s):  
Alain Le Yaouanc ◽  
Olivier Pène
Keyword(s):  
Lattice Qcd ◽  
Quark Model ◽  
Sum Rules ◽  
Experimental Situation ◽  
Semileptonic Decays ◽  
Physical Situation ◽  
Mass Limit ◽  
Quark Masses ◽  
Infinite Mass ◽  
Quark Models

We first discuss Uraltsev's and other sum rules constraining the B → D**(L = 1) weak transitions in the infinite mass limit, and compare them with dynamical approaches in the same limit. After recalling these well established facts, we discuss how to apply infinite mass limit to the physical situation. We provide predictions concerning semileptonic decays and non-leptonic ones, based on quark models. We then present in more detail the dynamical approaches: the relativistic quark model à la Bakamjian–Thomas and lattice QCD. We summarise lattice QCD results in the infinite mass limit and compare them to the quark model predictions. We then present preliminary lattice QCD results with finite b and c quark masses. A systematic comparison between theory and experiment is performed. We show that some large discrepancies exist between different experiments. Altogether the predictions at infinite mass are in fair agreement with experiment for non-leptonic decays contrary to what happens for semileptonic decays. We conclude by considering the prospects to clarify both the experimental situation, the theoretical one and the comparison between both.

scholarly journals Note on an Infinite-Mass Limit of the Higgs Model

1974 ◽  
Vol 51 (2) ◽  
pp. 628-630
Author(s):  
S.-i. Tamura
Keyword(s):  
Higgs Model ◽  
Mass Limit ◽  
Infinite Mass

Decay Widths of Excited Heavy Mesons from Quantum Chromodynamics Sum Rules in the Infinite Mass Limit

1998 ◽  
Vol 15 (8) ◽  
pp. 558-560
Author(s):  
Yuan-ben Dai ◽  
Chao-shang Huang ◽  
Ming-qiu Huang ◽  
Hong-ying Jin ◽  
Chun Liu
Keyword(s):  
Quantum Chromodynamics ◽  
Sum Rules ◽  
Mass Limit ◽  
Heavy Mesons ◽  
Infinite Mass ◽  
Decay Widths

scholarly journals The MIT Bag Model as an infinite mass limit

2019 ◽  
Vol 6 ◽  
pp. 329-365 ◽  
Author(s):  
Naiara Arrizabalaga ◽  
Loïc Le Treust ◽  
Albert Mas ◽  
Nicolas Raymond
Keyword(s):  
Mass Limit ◽  
Bag Model ◽  
Infinite Mass ◽  
Mit Bag Model

Exponentially Convergent Approximation to the Elliptic Solution Operator

2006 ◽  
Vol 6 (4) ◽  
pp. 386-404 ◽  
Author(s):  
Ivan. P. Gavrilyuk ◽  
V.L. Makarov ◽  
V.B. Vasylyk
Keyword(s):  
Green Function ◽  
Boundary Value Problem ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Solution Operator ◽  
Hyperbolic Operator ◽  
Elliptic Solution ◽  
Elliptic Boundary Value ◽  
Sine Family ◽  
The Green Function

AbstractWe develop an accurate approximation of the normalized hyperbolic operator sine family generated by a strongly positive operator A in a Banach space X which represents the solution operator for the elliptic boundary value problem. The solution of the corresponding inhomogeneous boundary value problem is found through the solution operator and the Green function. Starting with the Dunford — Cauchy representation for the normalized hyperbolic operator sine family and for the Green function, we then discretize the integrals involved by the exponentially convergent Sinc quadratures involving a short sum of resolvents of A. Our algorithm inherits a two-level parallelism with respect to both the computation of resolvents and the treatment of different values of the spatial variable x ∈ [0, 1].

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