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The Wilson loop in N=4 supersymmetric Yang-Mills theory admits a dual description as a macroscopic string configuration in the adS/CFT correspondence. We discuss the correction to the quark anti-quark potential arising from the fluctuations…

High Energy Physics - Theory · Physics 2007-05-23 Stefan Forste , Debashis Ghoshal , Stefan Theisen

Confinement in Quantum Chromodynamics (QCD), binding quarks and gluons into hadrons, is characterized by a linear potential and the Wilson loop area law. We develop an analytical framework in $\text{SU(3)}$ gauge theory, proposing a hybrid…

High Energy Physics - Theory · Physics 2025-07-16 Fidele J. Twagirayezu

Starting from the QCD Lagrangian we derive the effective action for massive quark and antiquark at large distances, corresponding to the minimal area low of the Wilson loop. The path integral method is used to quantize the system and the…

High Energy Physics - Phenomenology · Physics 2009-07-28 A. Yu. Dubin , A. B. Kaidalov , Yu. A. Simonov

First results from simulations of improved actions for both gauge fields and staggered fermion fields in three dimensional QCD are presented. This work provides insight into some issues of relevance to lattice theories in four dimensions.…

High Energy Physics - Lattice · Physics 2011-07-19 Howard D. Trottier

We use the worldline formalism to derive a universal relation for the lower boundary of the conformal window in non-supersymmetric QCD-like theories. The derivation relies on the convergence of the expansion of the fermionic determinant in…

High Energy Physics - Phenomenology · Physics 2009-11-18 Adi Armoni

We present an exploratory study of leading isospin breaking effects in mesonic masses using $O(a)$ improved Wilson fermions. Isospin symmetry is explicitly broken by distinct masses and electric charges of the up and down quarks. In order…

High Energy Physics - Lattice · Physics 2018-04-18 Andreas Risch , Hartmut Wittig

The worldline representation of the one loop fermionic effective action is used to obtain the vertex operator for the pion and the sigma in QCD strings. The vertex operator of the scalar sigma is distinguished from that of the pseudo-scalar…

High Energy Physics - Theory · Physics 2007-05-23 Vikram Vyas

The contributions of scalars and fermions to the null polygonal bosonic Wilson loops/gluon MHV scattering amplitudes in $\mathcal{N} = 4$ SYM are considered. We first examine the re-summation of scalars at strong coupling. Then, we…

High Energy Physics - Theory · Physics 2018-07-19 Alfredo Bonini , Davide Fioravanti , Simone Piscaglia , Marco Rossi

We present an exploratory study of leading isospin breaking effects in mesonic masses using $O(a)$ improved Wilson fermions with open boundaries. Isospin symmetry is explicitly broken by distinct masses and electric charges of the up and…

High Energy Physics - Lattice · Physics 2018-11-05 Andreas Risch , Hartmut Wittig

In this paper the detailed CCWZ procedure for introducing fermions on the world sheet of a string propagating in flat space-time is presented. The theory of nonlinear realizations is used to derive the transformation as well as the…

High Energy Physics - Theory · Physics 2016-05-30 Ali Mohsen

We construct a consistent action for a massive spinning quark on the end of a QCD string that leads to pure Thomas precession of the quark's spin. The string action is modified by the addition of Grassmann degrees of freedom to the string…

High Energy Physics - Phenomenology · Physics 2011-07-19 Theodore J. Allen , M. G. Olsson , Jeffrey R. Schmidt

Connection between the stability of quantum motion in random fields and quark confinement in QCD is investigated. The analogy between the fidelity and the Wilson loop is conjectured, and the fidelity decay rates for different types of quark…

High Energy Physics - Theory · Physics 2007-05-23 V. I. Kuvshinov , P. V. Buividovich

Lattice formulations of QCD with Wilson fermions and a chirally twisted quark mass matrix provide an attractive framework for non-perturbative numerical studies. Owing to reparameterization invariance, the limiting continuum theory is just…

High Energy Physics - Lattice · Physics 2009-11-07 R. Frezzotti

We present the fermionic universal one--loop effective action obtained by integrating out heavy vector--like fermions at one loop using functional techniques. Even though previous approaches are able to handle integrating out heavy fermions…

High Energy Physics - Phenomenology · Physics 2021-02-03 Andrei Angelescu , Peisi Huang

The Green function of the quark-antiquark system in the confining background field is analysed using the Feynman-Schwinger formalism. The Hamiltonian for the case of massive spinning quarks is obtained in the form containing essentially…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. M. Kustov

Expansions of the Wilson determinant in lattice QCD with quarks produce gauge action terms which shift the coupling constant of the fundamental representation plaquette action and induce an adjoint representation plaquette action. We study…

High Energy Physics - Lattice · Physics 2008-11-26 Leo Karkkainen , K. Rummukainen

We analyze how non-relativistic effective models for the magnetic coupling of a spin to the electromagnetic field (proportional to $\hat{\boldsymbol{\sigma}}\cdot \boldsymbol{B}$) emerge from a full quantum field theoretical description of…

Quantum Physics · Physics 2025-05-06 Ruhi Shah , Eduardo Martín-Martínez , T. Rick Perche

Wilson fermion (WF) is a fundamental particle in the theory of quantum chromodynamics, originally proposed by Kenneth Wilson to solve the fermion doubling problem, i.e., more fermions than expected when one puts fermionic fields on a…

Mesoscale and Nanoscale Physics · Physics 2023-01-19 Huanhuan Yang , Lingling Song , Yunshan Cao , Peng Yan

We derive a (Wilsonian) effective field theory of QCD at finite density by integrating out the states in the Dirac sea when the chemical potential $\mu\gg\Lambda_{\rm QCD}$. The quark-gluon coupling is effectively (1+1)-dimensional and the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Deog Ki Hong

We computed the static potential and Wilson loops to $O(\alpha^2)$ in perturbation theory for different lattice quark and gluon actions. In general, we find short distance lattice data to be well described by ``boosted perturbation…

High Energy Physics - Lattice · Physics 2015-06-25 G. S. Bali , P. Boyle , C. T. H. Davies