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A detailed study is made of four dimensional SU(2) gauge theory with static adjoint ``quarks'' in the context of string breaking. A tadpole-improved action is used to do simulations on lattices with coarse spatial spacings $a_s$, allowing…

High Energy Physics - Lattice · Physics 2009-10-31 Karn Kallio , Howard D. Trottier

Lattice sum rules are checked using lattice perturbation theory. The action sum rule gives a relation between the quark-antiquark potential, its logarithmic derivative with respect to distance and the expectation value of the action; the…

High Energy Physics - Lattice · Physics 2007-05-23 B. Feuerbacher

Comparison of the oscillatory behavior of a gravitating infinite Nambu-Goto string and a test string is investigated using the general relativistic gauge invariant perturbation technique with two infinitesimal parameters on a flat spacetime…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kouji Nakamura

We study a two-parameter family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory which interpolates smoothly between the 1/2 BPS line or circle and a pair of antiparallel lines. These observables capture a natural…

High Energy Physics - Theory · Physics 2015-05-28 Nadav Drukker , Valentina Forini

We compute the leading behaviour of the quark anti-quark potential from a generalized Nambu-Goto action associated with a curved space-time having an "extra dimension". The extra dimension can be the radial coordinate in the AdS/CFT…

High Energy Physics - Theory · Physics 2007-05-23 Y. Kinar , E. Schreiber , J. Sonnenschein

We apply heavy-quark effective theory to separate long- and short-distance effects of heavy quarks in lattice gauge theory. In this approach, the inverse heavy-quark mass and the lattice spacing are treated as short distances, and their…

High Energy Physics - Lattice · Physics 2014-11-17 Junpei Harada , Shoji Hashimoto , Ken-Ichi Ishikawa , Andreas S. Kronfeld , Tetsuya Onogi , Norikazu Yamada

The width of the quantum delocalization of the QCD strings is investigated in effective string models beyond free Nambu-Goto approximation. We consider two Lorentzian-invariant boundary-terms in the L\"uscher-Weisz string action in addition…

High Energy Physics - Lattice · Physics 2020-02-28 A. S. Bakry , M. A. Deliyergiyev , A. A. Galal , A. M. Khalaf , M. Khalil William

We study the general low-energy effective action on long open strings, such as confining strings in pure gauge theories. Using Lorentz invariance, we find that for a string of length R, the leading deviation from the Nambu-Goto energy…

High Energy Physics - Theory · Physics 2011-03-07 Ofer Aharony , Matan Field

We investigate the Sudakov double logarithmic corrections to the form factor of fermion in the SU(2)XU(1) electroweak theory. We adopt the familiar Feynman gauge and present explicit calculations at the two loop level. We show that the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Hori , H. Kawamura , J. Kodaira

We use compact D=4, N=1, Type IIB orientifolds as a testing ground for recent ideas about precocious gauge coupling unification and a low energy string scale. We find that certain such orientifolds have the interesting property that gauge…

High Energy Physics - Phenomenology · Physics 2016-09-06 Luis E. Ibanez

We generalize the multilevel algorithm of Luescher and Weisz to study SU(N) Yang-Mills theories with the tree-level improved gauge action. We test this algorithm, comparing its results with those obtained using the Wilson action, in SU(3)…

High Energy Physics - Lattice · Physics 2013-01-04 Anne Mykkanen

We calculate the next-to-next-to-leading correction to the expectation value of the Polyakov loop or equivalently to the free energy of a static charge. This correction is of order $g^5$. We show that up to this order the free energy of the…

High Energy Physics - Phenomenology · Physics 2016-02-17 Matthias Berwein , Nora Brambilla , Peter Petreczky , Antonio Vairo

We present high precision results on the static quark-antiquark-potential on 32^4 and smaller lattices, using the standard Wilson action at BETA = 6.0, 6.2, 6.4, and 6.8 on the Connection Machine CM-2. Within our statistical errors (1%) we…

High Energy Physics - Lattice · Physics 2009-10-22 G. S. Bali , K. Schilling

Effective magnetic $SU(N)$ gauge theory with classical $Z_N$ flux tubes of intrinsic width $\frac{1}{M}$ is an effective field theory of the long distance quark-antiquark interaction in $SU(N)$ Yang-Mills theory. Long wavelength…

High Energy Physics - Phenomenology · Physics 2016-03-23 M. Baker

A generalization of the AdS/CFT conjecture postulates a duality between IIA string theory and 16 supercharge Yang-Mills quantum mechanics in the large N 't Hooft limit. At low temperatures string theory describes black holes, whose…

High Energy Physics - Lattice · Physics 2008-11-26 Simon Catterall , Toby Wiseman

The QCD phase diagram is studied in the lattice QCD simulation with the imaginary chemical potential approach. We employ a clover-improved Wilson fermion action of two-flavors and a renormalization-group improved gauge action, and perform…

High Energy Physics - Lattice · Physics 2011-07-04 Keitaro Nagata , Atsushi Nakamura

We revisit the cluster expansion for Ising lattice gauge theory on $\mathbb{Z}^m, \, m \ge 3,$ with Wilson action, at a fixed inverse temperature \( \beta\) in the low-temperature regime. We prove existence and analyticity of the infinite…

Probability · Mathematics 2023-07-13 Malin Palö Forsström , Fredrik Viklund

We evaluate four-gauge-particle tree level scattering amplitudes using the Polyakov string path integral in the proper-time gauge, where the string path integral can be cast into the Feynman-Schwinger proper-time representation. We compare…

High Energy Physics - Theory · Physics 2019-07-10 Taejin Lee

$Z(2)$ lattice gauge theory plays an important role in the study of the threshold probability of Quantum Error Correction (QEC) for a quantum code. For certain QEC codes, such as the well-known Kitaev's toric/surface code, one can find a…

High Energy Physics - Lattice · Physics 2025-01-24 Seyong Kim

The string breaking is discussed in U(1)^{N-1} Abelian effective theories of QCD. When a screening is expected, the static potential shows a flattening in the long-range region and a linear behavior in the intermediate region. We show why…

High Energy Physics - Lattice · Physics 2007-05-23 M. N. Chernodub , T. Suzuki