scholarly journals The continuum limit of quantum gravity at second order in perturbation theory

2021 ◽  
Author(s):  
Timothy R Morris ◽  
Matthew P Kellett ◽  
Alex Mitchell
Keyword(s):  
Perturbation Theory ◽  
Quantum Gravity ◽  
Continuum Limit ◽  
Second Order ◽  
The Continuum

scholarly journals THE WEINGARTEN MODEL À LA POLYAKOV

1992 ◽  
Vol 07 (18) ◽  
pp. 1651-1660 ◽  
Author(s):  
SIMON DALLEY
Keyword(s):  
Quantum Gravity ◽  
Matrix Models ◽  
Critical Behavior ◽  
Continuum Limit ◽  
Hermitian Matrix ◽  
Gauge Model ◽  
Vertex Models ◽  
Lattice Gauge ◽  
Genus Expansion ◽  
The Continuum

The Weingarten lattice gauge model of Nambu-Goto strings is generalized to allow for fluctuations of an intrinsic worldsheet metric through a dynamical quadrilation. The continuum limit is taken for c≤1 matter, reproducing the results of Hermitian matrix models to all orders in the genus expansion. For the compact c=1 case the vortices are Wilson lines, whose exclusion leads to the theory of non-interacting fermions. As a by-product of the analysis one finds the critical behavior of SOS and vertex models coupled to 2D quantum gravity.

scholarly journals Spectroscopy of Charmed and Bottom Hadrons using Lattice QCD

2018 ◽  
Vol 175 ◽  
pp. 05021 ◽  
Author(s):  
Sourav Mondal ◽  
M. Padmanath ◽  
Nilmani Mathur
Keyword(s):  
Perturbation Theory ◽  
Continuum Limit ◽  
Pion Mass ◽  
Heavy Baryon ◽  
Chiral Perturbation ◽  
Charmed Baryons ◽  
Quark Masses ◽  
Baryon Spectra ◽  
The Masses ◽  
The Continuum

We present preliminary results on the light, charmed and bottom baryon spectra using overlap valence quarks on the background of 2+1+1 flavours HISQ gauge configurations of the MILC collaboration. These calculations are performed on three different gauge ensembles at three lattice spacings (a ∼ 0.12 fm, 0.09 fm and 0.06 fm) and for physical strange, charm and bottom quark masses. The SU(2) heavy baryon chiral perturbation theory is used to extrapolate baryon masses to the physical pion mass and the continuum limit extrapolations are also performed. Our results are consistent with the well measured charmed baryons. We predict the masses of many other states which are yet to be discovered.

scholarly journals Charm quark effects on the strong coupling extracted from the static force

2018 ◽  
Vol 175 ◽  
pp. 10002
Author(s):  
Salvatore Calì ◽  
Francesco Knechtli ◽  
Tomasz Korzec ◽  
Haralambos Panagopoulos
Keyword(s):  
Perturbation Theory ◽  
Lattice Qcd ◽  
Strong Coupling ◽  
Continuum Limit ◽  
Charm Quark ◽  
Static Force ◽  
Charm Quarks ◽  
The Continuum

We compute the fermionic contribution to the strong coupling αqq extracted from the static force in Lattice QCD up to order g4 in perturbation theory. This allows us to subtract the leading fermionic lattice artifacts from recent determinations of αqq produced in simulations of two dynamical charm quarks. Moreover, by using a suitable parametrization of the βqq-function, we can evaluate the charm loop effects on αqq in the continuum limit.

scholarly journals Dirac spectral density and mass anomalous dimension in 2+1 flavor QCD

2018 ◽  
Vol 175 ◽  
pp. 10003 ◽  
Author(s):  
Katsumasa Nakayama ◽  
Shoji Hashimoto ◽  
Hidenori Fukaya
Keyword(s):  
Perturbation Theory ◽  
Domain Wall ◽  
Spectral Density ◽  
Continuum Limit ◽  
Anomalous Dimension ◽  
Perturbative Expansion ◽  
Wide Range ◽  
Domain Wall Fermion ◽  
Discretization Effect ◽  
The Continuum

We compute the Dirac spectral density of QCD in a wide range of eigenvalues by using a stochastic method. We use 2+1 flavor lattice ensembles generated with Mobius domain-wall fermion at three lattice spacings (a = 0:083; 0:055; 0:044 fm) to estimate the continuum limit. The discretization effect can be minimized by a generalization of the valence domain-wall fermion. The spectral density at relatively high eigenvalues can be matched with perturbation theory. We compare the lattice results with the perturbative expansion available to O(α4s).

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