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Despite the success of quantum field theories, the origin of the mass of elementary particles persists. The renormalization program is an essential part of the calculation of the scattering amplitudes, where the infinities of the calculated…

General Physics · Physics 2022-09-13 Eue-Jin Jeong

We calculate the static Wilson loop from string/gauge correspondence to obtain the $Q\bar Q$ potential in non-relativistic quantum field theory, i.e. CFT with Galilean symmetry. We analyze the convexity conditions \cite{bachas} for $Q\bar…

High Energy Physics - Theory · Physics 2015-05-28 Haryanto M. Siahaan

A result (Corollary 4.3) in an article by Uhlenbeck (1985) asserts that the $W^{1,p}$-distance between the gauge-equivalence class of a connection $A$ and the moduli subspace of flat connections $M(P)$ on a principal $G$-bundle $P$ over a…

Differential Geometry · Mathematics 2024-01-05 Paul M. N. Feehan

In order to understand QCD at the energies relevant to hadronic physics one requires analytical methods for dealing with relativistic gauge field theories at large couplings. Strongly coupled quenched QED provides an ideal laboratory for…

High Energy Physics - Theory · Physics 2009-10-31 A. W. Schreiber , R. Rosenfelder , C. Alexandrou

We investigate the temporal Wilson loop using the Hamiltonian approach to Yang-Mills theory. In simple cases such as the Abelian theory or the non-Abelian theory in (1+1) dimensions, the known results can be reproduced using unitary…

High Energy Physics - Theory · Physics 2015-05-30 Hugo Reinhardt , Markus Quandt , Giuseppe Burgio

The skeleton loop integrals which contribute into the gluon self-energy have been iterated (skeleton loops expansion) within the Schwinger-Dyson equation for the full gluon propagator. No any truncations/approximations as well as no special…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

We examine the dipole approximated Pauli-Fierz Hamiltonians of the nonrelativistic QED. We assume that the Coulomb potential of the nuclei together with the Coulomb interaction between the electrons can be approximated by harmonic…

Mathematical Physics · Physics 2020-04-28 Tadahiro Miyao

Using the gauge-gravity duality we have obtained the potential between a heavy quark and an antiquark pair, which is moving perpendicular to the direction of orientation, in a strongly-coupled supersymmetric hot plasma. For the purpose we…

High Energy Physics - Theory · Physics 2015-10-28 Binoy Krishna Patra , Himanshu Khanchandani , Lata Thakur

The static three-quark(3Q) potential is investigated in the SU(3) lattice QCD at the quenched level, using the standard Wilson action with $\beta =5.7 (a\simeq 0.2{\rm fm})$ and $12^3\times 24$. With the 3Q Wilson loop, the ground-state 3Q…

High Energy Physics - Lattice · Physics 2007-05-23 T. T. Takahashi , H. Matsufuru , Y. Nemoto , H. Suganuma

We investigate the temporal Wilson loop using the Hamiltonian approach to Yang-Mills theory. In simple cases such as the Abelian theory or the non-Abelian theory in (1+1) dimensions, the known results can be derived using unitary…

High Energy Physics - Theory · Physics 2013-01-18 Markus Quandt , Hugo Reinhardt , Giuseppe Burgio

A model is introduced with a massive scalar coupling to the Yang--Mills term in four--dimensional gauge theory. It is shown that the resulting potential of colour sources consists of a short range Coulomb interaction and a long range…

High Energy Physics - Phenomenology · Physics 2011-09-13 Rainer Dick

We consider quarkonium in a hot QCD plasma which, due to expansion and non-zero viscosity, exhibits a local anisotropy in momentum space. At short distances the heavy-quark potential is known at tree level from the hard-thermal loop…

High Energy Physics - Phenomenology · Physics 2009-08-19 Adrian Dumitru , Yun Guo , Agnes Mocsy , Michael Strickland

We estimate the presently unknown constant in the 4-loop relation between the quark pole mass and the MSbar mass, by requiring stability of the perturbative prediction for E_tot(r)=2m_pole+V_QCD(r) in the intermediate-distance region. The…

High Energy Physics - Phenomenology · Physics 2015-06-17 Y. Sumino

Reliably computing the free energy in a gauge theory like QCD is a challenging and resource-demanding endeavor. As an alternative, we explore here the possibility to obtain the associated thermodynamic anomaly by exploiting its relation to…

High Energy Physics - Phenomenology · Physics 2021-03-03 Ouraman Hajizadeh , Markus Q. Huber , Axel Maas , Jan M. Pawlowski

Two different scenarios (light-front and equal-time) are possible for Yang-Mills theories in two dimensions. The exact $\bar q q$-potential can be derived in perturbation theory starting from the light-front vacuum, but requires essential…

High Energy Physics - Theory · Physics 2009-10-31 A. Bassetto

We consider the scattering of two color dipoles (e.g., heavy quarkonium states) at low energy - a QCD analog of Van der Waals interaction. Even though the couplings of the dipoles to the gluon field can be described in perturbation theory,…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Fujii , D. Kharzeev

A QED-based mechanism, breaking translational invariance of the vacuum at sufficiently small distance scales, is suggested as an explanation for the vacuum energy pressure that accelerates the universe. Very-small-scale virtual vacuum…

High Energy Physics - Theory · Physics 2007-05-23 H. M. Fried

The static potentials for quark-antiquark-gluon and 3-gluon systems are computed with lattice QCD methods. For the quark-antiquark-gluon hybrid meson the static potential is obtained for different values of the angle between the quark-gluon…

High Energy Physics - Lattice · Physics 2009-05-27 Marco Cardoso , Pedro Bicudo , Orlando Oliveira

We show that the Polyakov loop approaches its asymptotic value at high temperatures {\it from below} in any strongly-coupled gauge theory at large $N_c$ with a dual supergravity description. In these theories the Polyakov loop can be used…

High Energy Physics - Theory · Physics 2014-11-20 Jorge Noronha

We consider forced tunneling in QCD, described semiclassically by instanton-antiinstanton field configurations. By separating topologically different minima we obtain details of the effective potential and study the turning states, which…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. M. Ostrovsky , G. W. Carter , E. V. Shuryak