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In this paper, we develop a weak-coupling treatment of nonperturbative QCD to heavy hadrons on the light-front. First, we present a derivation of quark confining interaction in light-front QCD for heavy quark systems, based on the recently…

High Energy Physics - Phenomenology · Physics 2008-02-03 Wei-Min Zhang

We develop a unified framework for analyzing quantum mechanical resonances using the exact WKB method. The non-perturbative formulation based on the exact WKB method works for incorporating the Zel'dovich regularization, the complex scaling…

High Energy Physics - Theory · Physics 2025-10-09 Okuto Morikawa , Shoya Ogawa

We investigate the exact-WKB analysis for quantum mechanics in a periodic potential, with $N $ minima on $S^{1}$. We describe the Stokes graphs of a general potential problem as a network of Airy-type or degenerate Weber-type building…

Quantum Physics · Physics 2025-06-03 Naohisa Sueishi , Syo Kamata , Tatsuhiro Misumi , Mithat Ünsal

In this paper, we study the chiral symmetry restoration in the hadronic spectrum in the framework of generalised Nambu-Jona-Lasinio quark models with instantaneous confining quark kernels. We investigate a heavy-light quarkonium and derive…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yu. S. Kalashnikova , A. V. Nefediev , J. E. F. T. Ribeiro

One of the most fundamental problems in Quantum Chromodynamics is to understand the origin of the mass scale which controls the range of color confinement and the hadronic spectrum. We show that a mass gap and a fundamental color…

High Energy Physics - Theory · Physics 2015-06-19 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

We study a sector of the hadron spectrum in the presence of finite baryon density. We use a non-supersymmetric gravity dual to a confining guage theory which exhibits a running dilaton. The interaction of mesons with the finite density…

High Energy Physics - Theory · Physics 2011-02-21 Yunseok Seo , Jonathan P. Shock , Sang-Jin Sin , Dimitrios Zoakos

Asymptotic AdS Riemann space-times in five dimensions with a black brane (horizon) sourced by a fully back-reacted scalar field (dilaton) offer -- via the holographic dictionary -- various options for the thermodynamics of the flat…

High Energy Physics - Theory · Physics 2020-07-21 Rico Zöllner , Burkhard Kampfer

In this paper, we present a holographic realization of spontaneous chiral symmetry breaking and confinement. The latter is realized by building a solution of 5d Einstein-dilaton gravity leading to a confining quark antiquark potential. The…

High Energy Physics - Phenomenology · Physics 2023-08-16 Alfonso Ballon-Bayona , Tobias Frederico , Luis A. H. Mamani , Wayne de Paula

In tackling QCD, a constructive feedback between theory and extant and forthcoming experiments is necessary in order to place constraints on the infrared behaviour of QCD's \beta-function, a key nonperturbative quantity in hadron physics.…

Nuclear Theory · Physics 2015-05-30 Craig D. Roberts

We study nonperturbative features of QCD using the dual Ginzburg-Landau (DGL) theory, where the color confinement is realized through the dual Higgs mechanism brought by QCD-monopole condensation. The linear confinement potential appears in…

High Energy Physics - Phenomenology · Physics 2022-10-21 Hideo Suganuma , Shoichi Sasaki , Hiroshi Toki , Hiroko Ichie

A reference potential approach to the one-dimensional quantum-mechanical inverse problem is developed. All spectral characteristics of the system, including its discrete energy spectrum, the full energy dependence of the phase shift, and…

Quantum Physics · Physics 2007-05-23 Matti Selg

We investigate the holographic Schwinger effect in a confining background with a step dilaton profile, which induces a sharp transition between ultraviolet and infrared regimes and provides a qualitatively distinct realization of…

High Energy Physics - Theory · Physics 2026-04-28 Sara Tahery , Qin Chang

We review some of the most recent work on confinement in 4d gauge theories with a massive scalar field (dilaton). Emphasis is put on the derivation of confining analytical solutions to the Coulomb problem versus dilaton effective couplings…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mohamed Chabab

The confinement mechanism proposed earlier by the author is applied to problem of arising the so-called scale $\Lambda_{QCD}$ within the framework of QCD. The natural physical assumption consists of that $1/\Lambda_{QCD}\,\sim\,<r>$ where…

High Energy Physics - Phenomenology · Physics 2012-01-23 Yu. P. Goncharov

We show that a hairy black hole solution can provide a holographically dual description of quark confinement. There exists a one-parameter sensible metric which receives the backreaction of matter contents in the holographic action, where…

High Energy Physics - Theory · Physics 2016-07-28 Tsung-Sheng Huang , Wen-Yu Wen

The interquark potential is constructed by making use of the new analytic running coupling in QCD. This running coupling arises under ``analytization'' of the renormalization group equation. The rising behavior of the interquark potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

We discuss a new method for obtaining the WKB approximation to the Dirac equation with a scalar potential and a time-like vector potential. We use the WKB solutions to investigate the scaling behavior of a confining model for quark-hadron…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. W. Van Orden , Sabine Jeschonnek , John Tjon

Light-Front Hamiltonian theory, derived from the quantization of the QCD Lagrangian at fixed light-front time \tau = t+z/c, provides a rigorous frame-independent framework for solving nonperturbative QCD. The eigenvalues of the light-front…

High Energy Physics - Theory · Physics 2015-06-17 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

In this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a non-symmetric potential function by using…

Nuclear Theory · Physics 2020-07-10 Ekwevugbe Omugbe , Omosede E. Osafile , Michael C. Onyeaju

We are aiming to construct Quark Hadron Physics and Confinement Physics based on QCD. Using SU(3)$_c$ lattice QCD, we are investigating the three-quark potential at T=0 and $T \ne 0$, mass spectra of positive and negative-parity baryons in…

High Energy Physics - Phenomenology · Physics 2009-12-08 H. Suganuma , K. Amemiya , H. Ichie , N. Ishii , H. Matsufuru , N. Nakajima , Y. Nemoto , M. Oka , T. T. Takahashi