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A path-integral method effective beyond the perturbation expansion approach is suggested to consider the quartic anharmonicity in different spatial dimensions. Due to an optimal representation of the partition function, the leading term has…

Quantum Physics · Physics 2007-05-23 G. V. Efimov , G. Ganbold

We study renormalized quenched strong-coupling QED in four dimensions in arbitrary covariant gauge, in the Dyson-Schwinger equation formalism. Above the chiral critical coupling, we show that there is no finite chiral limit. This behaviour…

High Energy Physics - Phenomenology · Physics 2007-05-23 Frederick T. Hawes , Tom Sizer , Anthony G. Williams

The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Horacio E. Camblong , Luis N. Epele , Huner Fanchiotti , Carlos A. Garcia Canal

The analytic properties of the ground state resonance energy E(g) of the cubic potential are investigated as a function of the complex coupling parameter g. We explicitly show that it is possible to analytically continue E(g) by means of a…

Mathematical Physics · Physics 2010-10-12 J. Zinn-Justin , U. D. Jentschura

We compute in order alpha_s the nonrelativistic QCD (NRQCD) short-distance coefficients that match quark-antiquark operators of all orders in the heavy-quark velocity v to the electromagnetic current. We employ a new method to compute the…

High Energy Physics - Phenomenology · Physics 2009-01-21 Geoffrey T. Bodwin , Hee Sok Chung , Jungil Lee , Chaehyun Yu

We use the variational method, in a reformulated Hamiltonian formalism of QCD, to derive the wave equation for a heavy quark-antiquark system using a trial state that contains a component with a virtual light quark pair. We examine the…

High Energy Physics - Theory · Physics 2013-09-11 Alexander Chigodaev , Jurij W. Darewych

The strong decays of the pseudoscalar and scalar double-charmed tetraquarks $ T_{cc;\overline{u}\overline{d}}^{+}$ and $\widetilde{T}_{cc;\overline{u} \overline{d}}^{+}$ are investigated in the framework of the QCD sum rule method. The mass…

High Energy Physics - Phenomenology · Physics 2019-06-26 S. S. Agaev , K. Azizi , H. Sundu

Within the framework of nonrelativistic QCD (NRQCD) factorization, we compute the three-loop QCD corrections to the decay constant of $B_c$. We reconstruct the analytical expressions for the three-loop renormalization constant and the…

High Energy Physics - Phenomenology · Physics 2022-08-09 Feng Feng , Yu Jia , Zhewen Mo , Jichen Pan , Wen-Long Sang , Jia-Yue Zhang

We perform the detailed study of the tetraquark (4Q) potential $V_{\rm 4Q}$ for various QQ-$\rm \bar{Q}\bar{Q}$ systems in SU(3) lattice QCD with $\beta=6.0$ and $16^3 \times 32$ at the quenched level. For about 200 different patterns of 4Q…

High Energy Physics - Lattice · Physics 2008-11-26 Fumiko Okiharu , Hideo Suganuma , Toru T. Takahashi

We study the effects of heavy quarks on the equation of state for cold and dense quark matter obtained from perturbative QCD, yielding observables parametrized only by the renormalization scale. We investigate the thermodynamics of charm…

High Energy Physics - Phenomenology · Physics 2020-08-21 José C. Jiménez , Eduardo S. Fraga

Heavy-quark effects on the equation of state for cold and dense quark matter are obtained from perturbative QCD, yielding observables parametrized only by the renormalization scale. In particular, we investigate the thermodynamics of charm…

High Energy Physics - Phenomenology · Physics 2022-02-16 José C. Jiménez , Eduardo S. Fraga

The momentum diffusion coefficient of a heavy quark in a hot QCD plasma can be extracted as a transport coefficient related to the correlator of two colour-electric fields dressing a Polyakov loop. We determine the perturbative…

High Energy Physics - Lattice · Physics 2016-03-23 C. Christensen , M. Laine

In the heavy quark limit, properties of heavy mesons and doubly heavy baryons are related by heavy quark-diquark symmetry. This problem is reanalyzed in the framework of Non-Relativistic QCD (NRQCD). We introduce a novel method for deriving…

High Energy Physics - Phenomenology · Physics 2014-11-18 Sean Fleming , Thomas Mehen

We evaluate quark number densities at imaginary chemical potential by lattice QCD with clover-improved two-flavor Wilson fermion. The quark number densities are extrapolated to the small real chemical potential region by assuming some…

High Energy Physics - Lattice · Physics 2014-10-31 Junichi Takahashi , Junpei Sugano , Masahiro Ishii , Hiroaki Kouno , Masanobu Yahiro

We study the static three-quark (3Q) potential in detail using SU(3) lattice QCD with $12^3 \times 24$ at $\beta=5.7$ and $16^3 \times 32$ at $\beta=5.8, 6.0$ at the quenched level. For more than 200 patterns of the 3Q systems, we…

High Energy Physics - Lattice · Physics 2009-11-07 T. T. Takahashi , H. Suganuma , H. Matsufuru , Y. Nemoto

Here we compute the static potential in scalar $QED_3$ at leading order in $1/N_f$. We show that the addition of a non-minimal coupling of Pauli-type ($\eps j^{\mu}\partial^{\nu}A^{\alpha}$), although it breaks parity, it does not change…

High Energy Physics - Theory · Physics 2009-11-11 D. Dalmazi , Elias L. Mendonca

We employ a nonrelativistic version of QCD (NRQCD) to study heavy quark-antiquark bound states in the lowest approximation without fine structure. We use gluon configurations on a 16^3 by 48 lattice at beta=6.2 from the UKQCD collaboration.…

High Energy Physics - Lattice · Physics 2010-11-01 S. Catterall , F. Devlin , I. Drummond , R. Horgan , A. Simpson

The renormalized zero-momentum four-point coupling $g_r$ of O(N)-invariant scalar field theories in $d$ dimensions is studied by applying the 1/N expansion and strong coupling analysis. The O(1/N) correction to the $\beta$-function and to…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , A. Pelissetto , P. Rossi , E. Vicari

In this work, the renormalization of the second-order QCD is analyzed at one-loop level, including an arbitrary chromomagnetic factor and quark self-interactions, which are mass dimension four operators in this framework. The model is shown…

High Energy Physics - Phenomenology · Physics 2013-07-12 Carlos A. Vaquera-Araujo

Nonperturbative QCD is studied with the dual Ginzburg-Landau theory, where color confinement is realized through the dual Higgs mechanism by QCD-monopole condensation. We obtain a general analytic formula for the string tension. A compact…

High Energy Physics - Phenomenology · Physics 2016-11-03 H. Suganuma , H. Ichie , S. Sasaki , H. Toki
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